9-020-S-HeatDiffusion

By Kimberly Spayd1, James Puckett2

1. Mathematics, Gettysburg College, Gettysburg PA USA 2. Physics, Gettysburg College, Gettysburg PA USA

Download (PDF)

Licensed under

Category

Modeling Scenarios

Published on

Abstract

This project guides students through experimental, analytical, and numerical techniques for understanding the heat (diffusion) equation with nonhomogeneous boundary conditions. In particular, students collect data and model a physical scenario in which heat energy diffuses through a long, thin metal rod that has one of its ends submerged in hot water and the other end in room-temperature water. Students then investigate the subtleties of analytical and numerical techniques used to solve the initial boundary value problem. Finally, the experimental data can be used to compare the theoretical model with the physical phenomenon.

Cite this work

Researchers should cite this work as follows:

  • Kimberly Spayd; James Puckett (2019), "9-020-S-HeatDiffusion," https://www.simiode.org/resources/6451.

    BibTex | EndNote

Tags

  1. boundary
  2. collect
  3. data
  4. Dirichlet
  5. experiment
  6. heat
  7. homogeneous
  8. initial condition
  9. Longer Duration (Week or more project)
  10. MatLab
  11. modeling
  12. Newton
  13. non-homogeneous
  14. numerical
  15. partial differential equation
  16. physics
  17. project
  18. Python
  19. Raspberry Pi
  20. separation

Debug Console

Close11 MBRequestSessionTimelineDatabase51Events55
$_GET
Array( ) Array(

)
$_POST
Array( ) Array(

)
$_COOKIE
Array( ) Array(

)
$_SERVER
Array( REDIRECT_SCRIPT_URL => /resources/6451, REDIRECT_SCRIPT_URI => https://www.simiode.org... Array(
REDIRECT_SCRIPT_URL => /resources/6451,
REDIRECT_SCRIPT_URI => https://www.simiode.org/resources/6451,
REDIRECT_HTTPS => on,
REDIRECT_SSL_TLS_SNI => www.simiode.org,
REDIRECT_STATUS => 200,
SCRIPT_URL => /resources/6451,
SCRIPT_URI => https://www.simiode.org/resources/6451,
HTTPS => on,
SSL_TLS_SNI => www.simiode.org,
HTTP_USER_AGENT => CCBot/2.0 (https://commoncrawl.org/faq/),
HTTP_ACCEPT => text/html,application/xhtml+xml,application/xml;q=0.9,*/*;q=0.8,
HTTP_ACCEPT_LANGUAGE => en-US,en;q=0.5,
HTTP_ACCEPT_ENCODING => br,gzip,
HTTP_HOST => www.simiode.org,
HTTP_CONNECTION => Keep-Alive,
PATH => /usr/local/sbin:/usr/local/bin:/usr/sbin:/usr/bin:/sbin:/bin,
SERVER_SIGNATURE => ,
SERVER_SOFTWARE => Apache/2.4.10 (Debian),
SERVER_NAME => www.simiode.org,
SERVER_ADDR => 74.208.170.104,
SERVER_PORT => 443,
REMOTE_ADDR => 3.235.175.15,
DOCUMENT_ROOT => /var/www/simiode,
REQUEST_SCHEME => https,
CONTEXT_PREFIX => ,
CONTEXT_DOCUMENT_ROOT => /var/www/simiode,
SERVER_ADMIN => [no address given],
SCRIPT_FILENAME => /var/www/simiode/index.php,
REMOTE_PORT => 60816,
REDIRECT_URL => /resources/6451,
GATEWAY_INTERFACE => CGI/1.1,
SERVER_PROTOCOL => HTTP/1.1,
REQUEST_METHOD => GET,
QUERY_STRING => ,
REQUEST_URI => /resources/6451,
SCRIPT_NAME => /index.php,
PHP_SELF => /index.php,
REQUEST_TIME_FLOAT => 1632442543.953,
REQUEST_TIME => 1632442543
)
separator ⇒ .
orderBy ⇒ id
orderDir ⇒ asc
1 ⇒ registerIP
2 ⇒ access
always ⇒
renew ⇒
tracker.sid ⇒ 64a93a4611bae99ed66446981a5c44b5
tracker.ssid ⇒ 64a93a4611bae99ed66446981a5c44b5
tracker.rsid ⇒ 64a93a4611bae99ed66446981a5c44b5
  • site 0.048 seconds (+0.048); 3.50 MB (+3.500) - afterInitialise
  • site 0.108 seconds (+0.059); 5.00 MB (+1.500) - afterRoute
  • site 0.397 seconds (+0.289); 11.00 MB (+6.000) - afterDispatch
  • site 0.408 seconds (+0.011); 11.00 MB (0.000) - beforeRenderModule mod_custom (Hub Footer)
  • site 0.411 seconds (+0.003); 11.00 MB (0.000) - afterRenderModule mod_custom (Hub Footer)
  • site 0.411 seconds (+0.000); 11.00 MB (0.000) - beforeRenderModule mod_googleanalytics (Google Analytics for Website)
  • site 0.414 seconds (+0.003); 11.00 MB (0.000) - afterRenderModule mod_googleanalytics (Google Analytics for Website)
  • site 0.414 seconds (+0.000); 11.00 MB (0.000) - beforeRenderModule mod_googleanalytics (Google Analytics 4 for Website)
  • site 0.415 seconds (+0.001); 11.00 MB (0.000) - afterRenderModule mod_googleanalytics (Google Analytics 4 for Website)
  • site 0.415 seconds (+0.000); 11.00 MB (0.000) - beforeRenderModule mod_collect (Collect)
  • site 0.417 seconds (+0.003); 11.00 MB (0.000) - afterRenderModule mod_collect (Collect)
  • site 0.418 seconds (+0.001); 11.00 MB (0.000) - beforeRenderModule mod_breadcrumbs (Breadcrumbs)
  • site 0.427 seconds (+0.009); 11.25 MB (+0.250) - afterRenderModule mod_breadcrumbs (Breadcrumbs)
  • site 0.427 seconds (+0.000); 11.25 MB (0.000) - beforeRenderModule mod_menu (SIMIODE Main Menu)
  • site 0.478 seconds (+0.051); 11.25 MB (0.000) - afterRenderModule mod_menu (SIMIODE Main Menu)
  • site 0.478 seconds (+0.000); 11.25 MB (0.000) - beforeRenderModule mod_search (Search)
  • site 0.482 seconds (+0.004); 11.25 MB (0.000) - afterRenderModule mod_search (Search)
  • site 0.490 seconds (+0.008); 11.25 MB (0.000) - onAfterRender
  • site 0.495 seconds (+0.004); 11.25 MB (0.000) - sessionStore
11 MB

51 Queries Logged: 0.029994010925293 seconds

  1. SELECT data
      FROM `jos_session`
      WHERE `session_id` = '67e9da000c784125838b7c48127ef24d'
  2. DELETE
      FROM `jos_session`
      WHERE `session_id` = '67e9da000c784125838b7c48127ef24d'
  3. SELECT data
      FROM `jos_session`
      WHERE `session_id` = '64a93a4611bae99ed66446981a5c44b5'
  4. SELECT extension_id AS id,element AS "option",params,enabled
      FROM `jos_extensions`
      WHERE `type` = 'component'
      AND `element` = 'com_languages'
  5. SELECT session_id
      FROM `jos_session`
      WHERE `session_id` = '64a93a4611bae99ed66446981a5c44b5'
      LIMIT 1
  6. INSERT INTO `jos_session` (`session_id`,`client_id`,`time`,`ip`)
      VALUES ('64a93a4611bae99ed66446981a5c44b5','0','1632442543','3.235.175.15')
  7. SELECT extension_id AS id,element AS "option",params,enabled
      FROM `jos_extensions`
      WHERE `type` = 'component'
      AND `element` = 'com_members'
  8. SELECT b.id
      FROM `jos_usergroups` AS `a`
      LEFT JOIN jos_usergroups AS b
      ON b.lft <= a.lft
      AND b.rgt >= a.rgt
      WHERE `a`.`id` = '1'
  9. SELECT *
      FROM `jos_viewlevels`
  10. SELECT folder AS type,element AS name,protected,params
      FROM `jos_extensions`
      WHERE `enabled` >= '1'
      AND `type` = 'plugin'
      AND `state` >= '0'
      AND `access` IN ('1','1','4')
      ORDER BY `ordering` ASC
  11. SELECT m.id,m.menutype,m.title,m.alias,m.note,m.path AS route,m.link,m.type,m.level,m.language,m.browserNav,m.access,m.params,m.home,m.img,m.template_style_id,m.component_id,m.parent_id,e.element AS component
      FROM `jos_menu` AS `m`
      LEFT JOIN jos_extensions AS e
      ON e.extension_id = m.component_id
      WHERE `m`.`published` = '1'
      AND `m`.`parent_id` > '0'
      AND `m`.`client_id` = '0'
      ORDER BY `m`.`lft` ASC
  12. SELECT extension_id AS id,element AS "option",params,enabled
      FROM `jos_extensions`
      WHERE `type` = 'component'
      AND `element` = 'com_resources'
  13. SELECT jos_template_styles.id,jos_template_styles.home,jos_template_styles.template,jos_template_styles.params,jos_extensions.protected
      FROM `jos_template_styles`
      INNER JOIN jos_extensions
      ON jos_extensions.element = jos_template_styles.template
      WHERE `jos_template_styles`.`client_id` = '0'
      AND `jos_extensions`.`enabled` = '1'
      AND `jos_extensions`.`type` = 'template'
      AND jos_extensions.`client_id` = `jos_template_styles`.`client_id`
      ORDER BY `home` DESC
  14. SELECT extension_id AS id,element AS "option",params,enabled
      FROM `jos_extensions`
      WHERE `type` = 'component'
      AND `element` = 'com_tags'
  15. SELECT extension_id AS id,element AS "option",params,enabled
      FROM `jos_extensions`
      WHERE `type` = 'component'
      AND `element` = 'com_tools'
  16. SELECT *
      FROM `jos_resources`
      WHERE `jos_resources`.`id` = '6451'
  17. SELECT *
      FROM `jos_resource_types`
      WHERE `jos_resource_types`.`id` = '67'
  18. SELECT jos_tags.*
      FROM `jos_tags`
      INNER JOIN jos_tags_object
      ON jos_tags.id = jos_tags_object.tagid
      WHERE `jos_tags_object`.`label` != 'badge'
      AND `jos_tags_object`.`tbl` = 'resources'
      AND `jos_tags_object`.`objectid` = '6451'
      AND `jos_tags`.`admin` = '0'
  19. SELECT *
      FROM `jos_author_assoc`
      WHERE `jos_author_assoc`.`subid` = '6451'
      AND `jos_author_assoc`.`subtable` = 'resources'
      ORDER BY `ordering` ASC
  20. SELECT extension_id AS id,element AS "option",params,enabled
      FROM `jos_extensions`
      WHERE `type` = 'component'
      AND `element` = 'com_citations'
  21. SHOW TABLES
  22. SELECT *
      FROM `jos_resource_stats`
      WHERE `jos_resource_stats`.`resid` = '6451'
      AND `jos_resource_stats`.`period` = '14'
      AND `jos_resource_stats`.`datetime` LIKE '%2021-09-%%'
  23. SELECT *
      FROM `jos_resource_stats_clusters`
      WHERE `jos_resource_stats_clusters`.`resid` = '6451'
  24. SELECT extension_id AS id,element AS "option",params,enabled
      FROM `jos_extensions`
      WHERE `type` = 'component'
      AND `element` = 'com_publications'
  25. SELECT *
      FROM `jos_citations`
      INNER JOIN jos_citations_assoc
      ON jos_citations_assoc.cid = jos_citations.id
      WHERE `jos_citations`.`published` = '1'
      AND `jos_citations_assoc`.`tbl` = 'resource'
      AND `jos_citations_assoc`.`oid` = '6451'
      ORDER BY `jos_citations`.`affiliated` ASC,`jos_citations`.`year` DESC
  26. SELECT extension_id AS id,element AS "option",params,enabled
      FROM `jos_extensions`
      WHERE `type` = 'component'
      AND `element` = 'com_answers'
  27. SELECT jos_answers_questions.*
      FROM `jos_answers_questions`
      INNER JOIN jos_tags_object
      ON jos_tags_object.objectid = jos_answers_questions.id
      INNER JOIN jos_tags
      ON jos_tags.id = jos_tags_object.tagid
      WHERE `jos_tags_object`.`tbl` = 'answers'
      AND `jos_tags`.`tag` IN ('resource6451')
      AND `jos_answers_questions`.`state` < '2'
  28. SELECT *
      FROM `jos_users`
      WHERE `jos_users`.`id` = '1113'
  29. SELECT *
      FROM `jos_users`
      WHERE `jos_users`.`id` = '-1571104632'
  30. SHOW FULL COLUMNS
      FROM `jos_resource_assoc`
  31. SELECT jos_resources.*,parent_id,jos_resource_assoc.ordering AS associative_ordering,jos_resource_assoc.grouping AS associative_grouping
      FROM `jos_resources`
      INNER JOIN jos_resource_assoc
      ON jos_resources.id = child_id
      WHERE `jos_resource_assoc`.`parent_id` = '6451'
      AND `jos_resources`.`standalone` = '0'
      AND `jos_resources`.`published` = '1'
      ORDER BY `ordering` ASC
  32. SELECT *
      FROM `jos_resource_types`
      WHERE `jos_resource_types`.`id` = '0'
  33. SELECT *
      FROM `jos_resource_types`
      WHERE `jos_resource_types`.`id` = '33'
  34. SELECT *
      FROM `jos_resource_licenses`
      WHERE `jos_resource_licenses`.`name` = ''
      LIMIT 1
  35. SELECT k.*
      FROM ((SELECT DISTINCT w.id, w.title, w.pagename AS alias, v.pagetext AS introtext, NULL AS type, NULL AS published, NULL AS publish_up, w.scope, w.rating, w.times_rated, w.ranking, 'Topic' AS section
      FROM `jos_wiki_pages` AS w
      INNER JOIN `jos_wiki_versions` AS v
      ON w.version_id=v.id
      INNER JOIN `jos_wiki_links` AS wl
      ON wl.page_id=w.id
      WHERE v.approved=1
      AND wl.scope='resource'
      AND wl.scope_id='6451'
      AND w.access!=1
      GROUP BY w.id, v.pagetext
      ORDER BY ranking DESC, title
      LIMIT 10) UNION (SELECT DISTINCT r.id, r.title, r.alias, r.introtext, r.type, r.published, r.publish_up, NULL AS scope, r.rating, r.times_rated, r.ranking, rt.type AS section
      FROM `jos_resource_types` AS rt, `jos_resources` AS r JOIN `jos_resource_assoc` AS a
      ON r.id=a.parent_id
      LEFT JOIN `jos_resource_types` AS t
      ON r.logical_type=t.id
      WHERE r.published=1
      AND a.child_id='6451'
      AND r.type=rt.id
      AND r.type!=8
      AND r.access=0
      ORDER BY r.ranking
      LIMIT 10)) AS k
      ORDER BY ranking DESC
      LIMIT 10
  36. SELECT *
      FROM `jos_resource_sponsors`
      WHERE `jos_resource_sponsors`.`state` = '1'
  37. SELECT jos_tags_object.label,jos_tags.*
      FROM `jos_tags`
      INNER JOIN jos_tags_object
      ON jos_tags_object.tagid = jos_tags.id
      WHERE `jos_tags_object`.`tbl` = 'resources'
      AND `jos_tags_object`.`objectid` = '6451'
      GROUP BY jos_tags_object.label,jos_tags.id
  38. SELECT *
      FROM `jos_resource_types`
      WHERE `jos_resource_types`.`id` = '67'
  39. SELECT m.id,m.title,m.module,m.position,m.content,m.showtitle,m.params,mm.menuid,e.protected
      FROM `jos_modules` AS `m`
      LEFT JOIN jos_modules_menu AS mm
      ON mm.moduleid = m.id
      LEFT JOIN jos_extensions AS e
      ON e.element = m.module
      AND e.client_id = m.client_id
      WHERE `m`.`published` = '1'
      AND `e`.`enabled` = '1'
      AND (`m`.`publish_up` IS NULL OR `m`.`publish_up` <= '2021-09-24 00:15:44' )
      AND (`m`.`publish_down` IS NULL OR `m`.`publish_down` >= '2021-09-24 00:15:44' )
      AND `m`.`access` IN ('1','1','4')
      AND `m`.`client_id` = '0'
      AND (`mm`.`menuid` = '88' OR `mm`.`menuid` <= '0' )
      ORDER BY `m`.`position` ASC,`m`.`ordering` ASC
  40. SELECT extension_id AS id,element AS "option",params,enabled
      FROM `jos_extensions`
      WHERE `type` = 'component'
      AND `element` = 'com_search'
  41. SELECT extension_id AS id,element AS "option",params,enabled
      FROM `jos_extensions`
      WHERE `type` = 'component'
      AND `element` = 'com_users'
  42. SELECT extension_id AS id,element AS "option",params,enabled
      FROM `jos_extensions`
      WHERE `type` = 'component'
      AND `element` = 'com_content'
  43. SELECT extension_id AS id,element AS "option",params,enabled
      FROM `jos_extensions`
      WHERE `type` = 'component'
      AND `element` = 'com_categories'
  44. SELECT extension_id AS id,element AS "option",params,enabled
      FROM `jos_extensions`
      WHERE `type` = 'component'
      AND `element` = 'com_whatsnew'
  45. SELECT extension_id AS id,element AS "option",params,enabled
      FROM `jos_extensions`
      WHERE `type` = 'component'
      AND `element` = 'com_newsletter'
  46. SELECT extension_id AS id,element AS "option",params,enabled
      FROM `jos_extensions`
      WHERE `type` = 'component'
      AND `element` = 'com_blog'
  47. SELECT extension_id AS id,element AS "option",params,enabled
      FROM `jos_extensions`
      WHERE `type` = 'component'
      AND `element` = 'com_support'
  48. SELECT extension_id AS id,element AS "option",params,enabled
      FROM `jos_extensions`
      WHERE `type` = 'component'
      AND `element` = 'com_kb'
  49. SELECT extension_id AS id,element AS "option",params,enabled
      FROM `jos_extensions`
      WHERE `type` = 'component'
      AND `element` = 'com_groups'
  50. SELECT extension_id AS id,element AS "option",params,enabled
      FROM `jos_extensions`
      WHERE `type` = 'component'
      AND `element` = 'com_forum'
  51. UPDATE `jos_session`
      SET `data` = '__default|a:9:{s:15:\"session.counter\";i:1;s:19:\"session.timer.start\";i:1632442543;s:18:\"session.timer.last\";i:1632442543;s:17:\"session.timer.now\";i:1632442543;s:8:\"registry\";O:23:\"Hubzero\\Config\\Registry\":2:{s:7:\"\0*\0data\";O:8:\"stdClass\":2:{s:1:\"0\";s:7:\"session\";s:10:\"Components\";O:8:\"stdClass\":1:{s:9:\"Resources\";O:8:\"stdClass\":1:{s:6:\"Models\";O:8:\"stdClass\":1:{s:6:\"Author\";O:8:\"stdClass\":2:{s:7:\"orderby\";s:8:\"ordering\";s:8:\"orderdir\";s:3:\"asc\";}}}}}s:9:\"separator\";s:1:\".\";}s:4:\"user\";C:17:\"Hubzero\\User\\User\":22:{a:1:{s:5:\"guest\";b:1;}}s:11:\"tracker.sid\";s:32:\"64a93a4611bae99ed66446981a5c44b5\";s:12:\"tracker.ssid\";s:32:\"64a93a4611bae99ed66446981a5c44b5\";s:12:\"tracker.rsid\";s:32:\"64a93a4611bae99ed66446981a5c44b5\";}',`time` = '1632442544',`ip` = '3.235.175.15'
      WHERE `session_id` = '64a93a4611bae99ed66446981a5c44b5'
  • onAfterInitialise — Method — plgSystemP3p::onAfterInitialise → /core/plugins/system/p3p/p3p.php:21
  • onAfterInitialise — Method — plgSystemRemember::onAfterInitialise → /core/plugins/system/remember/remember.php:20
  • onAfterInitialise — Method — plgSystemHubzero::onAfterInitialise → /core/plugins/system/hubzero/hubzero.php:21
  • onAfterInitialise — Method — plgSystemXFeed::onAfterInitialise → /core/plugins/system/xfeed/xfeed.php:21
  • onAfterInitialise — Method — plgSystemSupergroup::onAfterInitialise → /core/plugins/system/supergroup/supergroup.php:113
  • onAfterInitialise — Method — plgSystemReferrerpolicy::onAfterInitialise → /core/plugins/system/referrerpolicy/referrerpolicy.php:21
  • onAfterRoute — Method — plgSystemJquery::onAfterRoute → /core/plugins/system/jquery/jquery.php:21
  • onAfterRoute — Method — plgSystemSpamjail::onAfterRoute → /core/plugins/system/spamjail/spamjail.php:21
  • onAfterRoute — Method — plgSystemIncomplete::onAfterRoute → /core/plugins/system/incomplete/incomplete.php:21
  • onAfterRoute — Method — plgSystemUnconfirmed::onAfterRoute → /core/plugins/system/unconfirmed/unconfirmed.php:21
  • onAfterRoute — Method — plgSystemUnapproved::onAfterRoute → /core/plugins/system/unapproved/unapproved.php:21
  • onAfterRoute — Method — plgSystemPassword::onAfterRoute → /core/plugins/system/password/password.php:21
  • onResourcesAreas — Method — plgResourcesAbout::onResourcesAreas → /core/plugins/resources/about/about.php:32
  • onResourcesAreas — Method — plgResourcesSupportingDocs::onResourcesAreas → /core/plugins/resources/supportingdocs/supportingdocs.php:30
  • onResourcesAreas — Method — plgResourcesReviews::onResourcesAreas → /core/plugins/resources/reviews/reviews.php:43
  • onResourcesAreas — Method — plgResourcesUsage::onResourcesAreas → /core/plugins/resources/usage/usage.php:29
  • onResourcesAreas — Method — plgResourcesVersions::onResourcesAreas → /core/plugins/resources/versions/versions.php:29
  • onResourcesAreas — Method — plgResourcesShare::onResourcesAreas → /core/plugins/resources/share/share.php:29
  • onResourcesAreas — Method — plgResourcesCitations::onResourcesAreas → /core/plugins/resources/citations/citations.php:29
  • onResourcesAreas — Method — plgResourcesQuestions::onResourcesAreas → /core/plugins/resources/questions/questions.php:29
  • onResourcesAreas — Method — plgResourcesWishlist::onResourcesAreas → /core/plugins/resources/wishlist/wishlist.php:29
  • onResourcesAreas — Method — plgResourcesFindThisText::onResourcesAreas → /core/plugins/resources/findthistext/findthistext.php:29
  • onResourcesAreas — Method — plgResourcesWindowstools::onResourcesAreas → /core/plugins/resources/windowstools/windowstools.php:214
  • onResourcesAreas — Method — plgResourcesComments::onResourcesAreas → /app/plugins/resources/comments/comments.php:61
  • onContentPrepare — Method — plgContentLoadmodule::onContentPrepare → /core/plugins/content/loadmodule/loadmodule.php:35
  • onContentPrepare — Method — plgContentPagebreak::onContentPrepare → /core/plugins/content/pagebreak/pagebreak.php:35
  • onContentPrepare — Method — plgContentXhubtags::onContentPrepare → /core/plugins/content/xhubtags/xhubtags.php:25
  • onContentPrepare — Method — plgContentFormatwiki::onContentPrepare → /core/plugins/content/formatwiki/formatwiki.php:63
  • onContentPrepare — Method — plgContentFormathtml::onContentPrepare → /core/plugins/content/formathtml/formathtml.php:105
  • onContentPrepare — Method — plgContentExternalhref::onContentPrepare → /core/plugins/content/externalhref/externalhref.php:41
  • onResources — Method — plgResourcesAbout::onResources → /core/plugins/resources/about/about.php:54
  • onResources — Method — plgResourcesSupportingDocs::onResources → /core/plugins/resources/supportingdocs/supportingdocs.php:52
  • onResources — Method — plgResourcesReviews::onResources → /core/plugins/resources/reviews/reviews.php:91
  • onResources — Method — plgResourcesUsage::onResources → /core/plugins/resources/usage/usage.php:51
  • onResources — Method — plgResourcesVersions::onResources → /core/plugins/resources/versions/versions.php:50
  • onResources — Method — plgResourcesShare::onResources → /core/plugins/resources/share/share.php:50
  • onResources — Method — plgResourcesCitations::onResources → /core/plugins/resources/citations/citations.php:51
  • onResources — Method — plgResourcesQuestions::onResources → /core/plugins/resources/questions/questions.php:60
  • onResources — Method — plgResourcesWishlist::onResources → /core/plugins/resources/wishlist/wishlist.php:50
  • onResources — Method — plgResourcesFindThisText::onResources → /core/plugins/resources/findthistext/findthistext.php:51
  • onResources — Method — plgResourcesWindowstools::onResources → /core/plugins/resources/windowstools/windowstools.php:235
  • onResources — Method — plgResourcesGooglescholar::onResources → /core/plugins/resources/googlescholar/googlescholar.php:25
  • onResources — Method — plgResourcesOpengraph::onResources → /core/plugins/resources/opengraph/opengraph.php:25
  • onResources — Method — plgResourcesDublincore::onResources → /core/plugins/resources/dublincore/dublincore.php:25
  • onResources — Method — plgResourcesComments::onResources → /app/plugins/resources/comments/comments.php:82
  • onResources — Method — plgResourcesCoins::onResources → /core/plugins/resources/coins/coins.php:25
  • onResourcesSub — Method — plgResourcesGroups::onResourcesSub → /core/plugins/resources/groups/groups.php:45
  • onResourcesSub — Method — plgResourcesRelated::onResourcesSub → /core/plugins/resources/related/related.php:45
  • onResourcesSub — Method — plgResourcesSponsors::onResourcesSub → /core/plugins/resources/sponsors/sponsors.php:45
  • onResourcesSub — Method — plgResourcesWatch::onResourcesSub → /core/plugins/resources/watch/watch.php:46
  • onResourcesSub — Method — plgResourcesCollections::onResourcesSub → /core/plugins/resources/collections/collections.php:31
  • onAfterDispatch — Method — plgSystemMobile::onAfterDispatch → /core/plugins/system/mobile/mobile.php:22
  • onAfterDispatch — Method — plgSystemDebug::onAfterDispatch → /core/plugins/system/debug/debug.php:60
  • onAfterDispatch — Method — PlgSystemHighlight::onAfterDispatch → /core/plugins/system/highlight/highlight.php:25
  • onAfterRender — Method — plgSystemSef::onAfterRender → /core/plugins/system/sef/sef.php:21