{"id":33904,"date":"2020-11-13T13:22:48","date_gmt":"2020-11-13T10:22:48","guid":{"rendered":"http:\/\/ihcoedu.uobaghdad.edu.iq\/?p=33904"},"modified":"2020-11-24T13:18:47","modified_gmt":"2020-11-24T10:18:47","slug":"%d9%82%d8%b3%d9%85-%d8%a7%d9%84%d8%b1%d9%8a%d8%a7%d8%b6%d9%8a%d8%a7%d8%aa-%d9%8a%d9%86%d8%a7%d9%82%d8%b4-%d8%b1%d8%b3%d8%a7%d9%84%d8%a9-%d9%85%d8%a7%d8%ac%d8%b3%d8%aa%d9%8a%d8%b1-%d8%aa%d9%82%d8%af","status":"publish","type":"post","link":"https:\/\/ihcoedu.uobaghdad.edu.iq\/?p=33904","title":{"rendered":"\u0642\u0633\u0645 \u0627\u0644\u0631\u064a\u0627\u0636\u064a\u0627\u062a \u064a\u0646\u0627\u0642\u0634 \u0631\u0633\u0627\u0644\u0629 \u0645\u0627\u062c\u0633\u062a\u064a\u0631 \u062a\u0642\u062f\u0645 \u062f\u0631\u0627\u0633\u0629 \u0645\u0642\u0627\u0631\u0646\u0629 \u0628\u064a\u0646 \u0637\u0631\u064a\u0642\u0629 \u0627\u0644\u062a\u0641\u0643\u064a\u0643 \u0648\u062a\u0639\u062f\u064a\u0644\u0627\u062a\u0647\u0627 \u0644\u062d\u0644 \u0645\u0639\u0627\u062f\u0644\u0627\u062a \u062a\u0641\u0627\u0636\u0644\u064a\u0629 \u062c\u0632\u0626\u064a\u0629"},"content":{"rendered":"<h4><\/h4>\n<h4><\/h4>\n<h4><span style=\"color: #000080\"><img loading=\"lazy\" decoding=\"async\" class=\"aligncenter size-full wp-image-33907\" src=\"https:\/\/ihcoedu.uobaghdad.edu.iq\/wp-content\/uploads\/sites\/27\/2020\/11\/\u0635\u0648\u0631\u0629-2.jpg\" alt=\"\" width=\"800\" height=\"600\" srcset=\"https:\/\/ihcoedu.uobaghdad.edu.iq\/wp-content\/uploads\/sites\/27\/2020\/11\/\u0635\u0648\u0631\u0629-2.jpg 800w, https:\/\/ihcoedu.uobaghdad.edu.iq\/wp-content\/uploads\/sites\/27\/2020\/11\/\u0635\u0648\u0631\u0629-2-300x225.jpg 300w, https:\/\/ihcoedu.uobaghdad.edu.iq\/wp-content\/uploads\/sites\/27\/2020\/11\/\u0635\u0648\u0631\u0629-2-768x576.jpg 768w\" sizes=\"auto, (max-width: 800px) 100vw, 800px\" \/><\/span><\/h4>\n<h4><span style=\"color: #000080\">\u0646\u0627\u0642\u0634 \u0642\u0633\u0645 \u0627\u0644\u0631\u064a\u0627\u0636\u064a\u0627\u062a \u0641\u064a \u0643\u0644\u064a\u0629 \u0627\u0644\u062a\u0631\u0628\u064a\u0629 \u0644\u0644\u0639\u0644\u0648\u0645 \u0627\u0644\u0635\u0631\u0641\u0629 (\u0627\u0628\u0646 \u0627\u0644\u0647\u064a\u062b\u0645) \u0631\u0633\u0627\u0644\u0629 \u0627\u0644\u0645\u0627\u062c\u0633\u062a\u064a\u0631 \u0627\u0644\u0645\u0648\u0633\u0648\u0645\u0629 ( \u00a0\u062f\u0631\u0627\u0633\u0629 \u0645\u0642\u0627\u0631\u0646\u0629 \u0628\u064a\u0646 \u0637\u0631\u064a\u0642\u0629 \u0627\u0644\u062a\u0641\u0643\u064a\u0643 \u0648\u062a\u0639\u062f\u064a\u0644\u0627\u062a\u0647\u0627 \u0644\u062d\u0644 \u0645\u0639\u0627\u062f\u0644\u0627\u062a \u062a\u0641\u0627\u0636\u0644\u064a\u0629 \u062c\u0632\u0626\u064a\u0629 ) \u0644\u0644\u0637\u0627\u0644\u0628\u0629 ( \u0632\u064a\u0646\u0628 \u0647\u0627\u062f\u064a \u0643\u0631\u064a\u0645 ) \u0627\u0644\u062a\u064a \u0627\u0646\u062c\u0632\u062a\u0647\u0627 \u062a\u062d\u062a \u0627\u0634\u0631\u0627\u0641 \u0627\u0644\u062a\u062f\u0631\u064a\u0633\u064a\u0629 \u0641\u064a \u0627\u0644\u0642\u0633\u0645 ( \u0623.\u062f. \u0644\u0645\u0649 \u0646\u0627\u062c\u064a \u0645\u062d\u0645\u062f \u062a\u0648\u0641\u064a\u0642 ) \u0648\u0646\u0648\u0642\u0634\u062a \u0645\u0646 \u0642\u0628\u0644 \u0627\u0639\u0636\u0627\u0621 \u0644\u062c\u0646\u0629 \u0627\u0644\u0645\u0646\u0627\u0642\u0634\u0629 \u0627\u0644\u0645\u062f\u0631\u062c \u0627\u0633\u0645\u0627\u0626\u0647\u0645 \u0641\u064a\u0645\u0627 \u064a\u0623\u062a\u064a :<\/span><\/h4>\n<ul>\n<li>\n<h4><span style=\"color: #000080\">\u0623.\u062f. \u0635\u0627\u062f\u0642 \u0639\u0628\u062f \u0627\u0644\u0639\u0632\u064a\u0632 \u0645\u0647\u062f\u064a ( \u0631\u0626\u064a\u0633\u0627 )<\/span><\/h4>\n<\/li>\n<li>\n<h4><span style=\"color: #000080\">\u0623.\u0645.\u062f. \u0645\u0647\u0627 \u0639\u0628\u062f \u0627\u0644\u062c\u0628\u0627\u0631 \u0645\u062d\u0645\u062f ( \u0639\u0636\u0648\u0627 )<\/span><\/h4>\n<\/li>\n<li>\n<h4><span style=\"color: #000080\">\u062f. \u0645\u064a \u0645\u062d\u0645\u062f \u0647\u0644\u0627\u0644\u00a0 ( \u0639\u0636\u0648\u0627 )<\/span><\/h4>\n<\/li>\n<li>\n<h4><span style=\"color: #000080\">\u0623.\u062f. \u0644\u0645\u0649 \u0646\u0627\u062c\u064a \u0645\u062d\u0645\u062f \u062a\u0648\u0641\u064a\u0642\u00a0 ( \u0639\u0636\u0648\u0627 \u0648 \u0645\u0634\u0631\u0641\u0627 )<\/span><\/h4>\n<\/li>\n<\/ul>\n<h4><\/h4>\n<h4><span style=\"color: #000080\">\u0648\u062a\u062a\u0636\u0645\u0646 \u0627\u0644\u0631\u0633\u0627\u0644\u0629 \u062f\u0631\u0627\u0633\u0629 \u0645\u0642\u0627\u0631\u0646\u0629 \u0628\u064a\u0646 \u0637\u0631\u064a\u0642\u0629 \u0627\u0644\u062a\u0641\u0643\u064a\u0643 \u0648 \u062a\u062d\u0633\u064a\u0646\u0627\u062a\u0647\u0627 \u0644\u062d\u0644 \u0627\u0646\u0648\u0627\u0639 \u0645\u062e\u062a\u0644\u0641\u0629 \u0645\u0646 \u0627\u0644\u0645\u0639\u0627\u062f\u0644\u0627\u062a\u00a0 \u0627\u0644\u062a\u0641\u0627\u0636\u0644\u064a\u0629 \u00a0\u0627\u0644\u062c\u0632\u0626\u064a\u0629.<\/span><\/h4>\n<h4><\/h4>\n<h4><span style=\"color: #000080\">\u0644\u062a\u0648\u0636\u064a\u062d \u0641\u0627\u0639\u0644\u064a\u0629 \u0648 \u0645\u0648\u062b\u0648\u0642\u064a\u0629 \u0637\u0631\u0642 \u0627\u0644\u062a\u0641\u0643\u064a\u0643 \u0648 \u062a\u062d\u0633\u064a\u0646\u0627\u062a\u0647\u0627 \u0641\u064a \u062d\u0644 \u0627\u0644\u0645\u0639\u0627\u062f\u0644\u0627\u062a\u00a0 \u0627\u0644\u062a\u0641\u0627\u0644\u0644\u064a\u0629 \u0627\u0644\u062c\u0632\u0626\u064a\u0629 \u0627\u0644\u062e\u0637\u064a\u0629 \u0648 \u063a\u064a\u0631 \u0627\u0644\u062e\u0637\u064a\u0629 \u062a\u0645 \u062d\u0644 \u0628\u0639\u0636 \u0627\u0644\u0627\u0646\u0648\u0627\u0639 \u0645\u0646 \u062a\u0644\u0643 \u0627\u0644\u0645\u0639\u0627\u062f\u0644\u0627\u062a\u00a0 \u0628\u0634\u0631\u0648\u0637 \u0627\u0628\u062a\u062f\u0627\u0626\u064a\u0629 \u0628\u062a\u0644\u0643 \u0627\u0644\u0637\u0631\u0642 \u0648 \u0639\u0646\u062f \u062a\u0637\u0628\u064a\u0642 \u062a\u0644\u0643 \u0627\u0644\u0637\u0631\u0642 \u0627\u062a\u0636\u062d \u0639\u062f\u0645 \u0627\u0644\u062d\u0627\u062c\u0629 \u0644\u062a\u062d\u0648\u064a\u0644 \u0627\u0644\u062d\u062f \u0627\u0644\u063a\u064a\u0631 \u062e\u0637\u064a \u0641\u064a \u0627\u0644\u0645\u0639\u0627\u062f\u0644\u0629 \u0627\u0644\u0649 \u062e\u0637\u064a \u0627\u0639\u062a\u0645\u0627\u062f\u0627 \u0639\u0644\u0649 \u0645\u062a\u0639\u062f\u062f\u0629 \u062d\u062f\u0648\u062f \u0627\u062f\u0648\u0645\u064a\u0646 .<\/span><\/h4>\n<h4><span style=\"color: #000080\">\u0648 \u0641\u064a \u062c\u0645\u064a\u0639 \u0627\u0644\u0637\u0631\u0642 \u062a\u0645 \u0627\u0644\u062d\u0635\u0648\u0644 \u0639\u0644\u0649 \u0646\u0641\u0633 \u0627\u0644\u062d\u0644 \u0627\u0644\u0645\u0636\u0628\u0648\u0637 \u0645\u0639 \u0627\u062e\u062a\u0644\u0627\u0641 \u0627\u0644\u0632\u0645\u0646 \u0627\u0644\u0645\u0633\u062a\u063a\u0631\u0642 \u0641\u064a \u0627\u0644\u062a\u0637\u0628\u064a\u0642, \u0633\u0631\u0639\u0629 \u062a\u0642\u0627\u0631\u0628 \u0645\u062a\u0633\u0644\u0633\u0644\u0629 \u0627\u0644\u062d\u0644, \u0648 \u062e\u0637\u0648\u0627\u062a\u00a0 \u0627\u0644\u062d\u0633\u0627\u0628\u0627\u062a.<\/span><\/h4>\n<h4><span style=\"color: #000080\">\u0639\u0646\u062f \u0635\u0639\u0648\u0628\u0629 \u0627\u0644\u062d\u0635\u0648\u0644 \u0639\u0644\u0649 \u0627\u0644\u062d\u0644 \u0627\u0644\u0645\u0636\u0628\u0648\u0637 \u0646\u0633\u062a\u062e\u062f\u0645 \u0627\u0644\u0645\u062a\u0633\u0644\u0633\u0644\u0629 \u0627\u0644\u0645\u0628\u062a\u0648\u0631\u0629, \u0627\u0630\u0627 \u0643\u0627\u0646\u062a \u0627\u0644\u0645\u062a\u0633\u0644\u0633\u0644\u0629 \u0627\u0644\u0645\u0628\u062a\u0648\u0631\u0629 \u063a\u064a\u0631 \u062f\u0642\u064a\u0642\u0629 \u0641\u064a \u0639\u062f\u062f \u0645\u0646 \u0627\u0644\u0645\u0646\u0627\u0637\u0642 \u0628\u0627\u0644\u0625\u0644\u0627\u0641\u0629 \u0627\u0644\u0649 \u062a\u0648\u0633\u064a\u0639 \u0645\u062c\u0627\u0644 \u0627\u0644\u062a\u0642\u0627\u0631\u0628 \u0644\u0644\u0645\u062a\u0633\u0644\u0633\u0644\u0629 \u0627\u0644\u0645\u0628\u062a\u0648\u0631\u0629 \u062a\u0645 \u0627\u0633\u062a\u062e\u062f\u0627\u0645 \u062a\u062d\u0648\u064a\u0644 \u0644\u0627\u0628\u0644\u0627\u0633 \u0645\u0639 \u0637\u0631\u064a\u0642\u0629 \u0627\u0644\u062a\u0641\u0643\u064a\u0643 \u0627\u062f\u0648\u0645\u064a\u0646 \u0648\u062a\u0645 \u0627\u0644\u062d\u0635\u0648\u0644 \u0639\u0644\u0649 \u0646\u062a\u0627\u0626\u062c \u062c\u064a\u062f\u0629 \u0644\u062a\u062c\u0646\u0628 \u0635\u0639\u0648\u0628\u0629 \u0627\u0644\u062d\u0633\u0627\u0628\u0627\u062a\u00a0 \u0648 \u0643\u062b\u0631\u062a\u0647\u0627 \u0627\u0642\u062a\u0631\u062d\u0646\u0627 \u062a\u0639\u062f\u064a\u0644 \u062c\u062f\u064a\u062f \u0648\u062a\u0645 \u0645\u0642\u0627\u0631\u0646\u0629 \u0646\u062a\u0627\u0626\u062c\u0647\u0627 \u0645\u0639 \u0646\u062a\u0627\u0626\u062c \u0627\u0644\u062a\u0639\u062f\u064a\u0644\u0627\u062a\u00a0 \u0627\u0644\u0627\u062e\u0631\u0649 \u0648 \u0627\u064a\u0636\u0627 \u0627\u062b\u0628\u062a\u0646\u0627 \u0627\u0644\u062a\u0642\u0627\u0631\u0628 \u0644\u0644\u062a\u062d\u0633\u064a\u0646 \u00a0\u0627\u0644\u0645\u0642\u062a\u0631\u062d.<\/span><\/h4>\n<hr \/>\n<h3 style=\"text-align: left\"><span style=\"color: #993366\">A comparison Study between<\/span><\/h3>\n<h3 style=\"text-align: left\"><span style=\"color: #993366\">Decomposition Method and Its Modification for Solving<\/span><\/h3>\n<h3 style=\"text-align: left\"><span style=\"color: #993366\">Partial Differential Equation<\/span><\/h3>\n<h3 style=\"text-align: left\"><span style=\"color: #993366\">By Zainab\u00a0 Hadi Kareem<\/span><\/h3>\n<h3 style=\"text-align: left\"><span style=\"color: #993366\">Supervised by prof.Dr.Luma Naji Mohammed<\/span><\/h3>\n<h3 style=\"text-align: left\"><span style=\"color: #993366\">Abstract<\/span><\/h3>\n<h3 style=\"text-align: left\"><span style=\"color: #993366\">In this thesis a comparison study between decomposition method and its<\/span><\/h3>\n<h3 style=\"text-align: left\"><span style=\"color: #993366\">modification for solving different kinds of partial differential equations is<\/span><\/h3>\n<h3 style=\"text-align: left\"><span style=\"color: #993366\">presented.<\/span><\/h3>\n<h3 style=\"text-align: left\"><span style=\"color: #993366\">To demonstrate these decomposition methods are how effective and reliable for<\/span><\/h3>\n<h3 style=\"text-align: left\"><span style=\"color: #993366\">solving the non-linear partial differential equations, solutions of some its kinds<\/span><\/h3>\n<h3 style=\"text-align: left\"><span style=\"color: #993366\">subjected to initial conditions are attained by these methods. In the application of<\/span><\/h3>\n<h3 style=\"text-align: left\"><span style=\"color: #993366\">the methods, it is clearly noticed that there is no need to convert the nonlinear<\/span><\/h3>\n<h3 style=\"text-align: left\"><span style=\"color: #993366\">terms into the linear ones due to the Adomian polynomials. In addition to this<\/span><\/h3>\n<h3 style=\"text-align: left\"><span style=\"color: #993366\">simplicity, it is seen that each method gives the same exact solution with variant<\/span><\/h3>\n<h3 style=\"text-align: left\"><span style=\"color: #993366\">time of implementation, rapid convergent solution series, and computational<\/span><\/h3>\n<h3 style=\"text-align: left\"><span style=\"color: #993366\">calculus. When the exact solution is not reached, we use truncated series. If the<\/span><\/h3>\n<h3 style=\"text-align: left\"><span style=\"color: #993366\">truncated series may be inaccurate in many regions. In order to enlarge the<\/span><\/h3>\n<h3 style=\"text-align: left\"><span style=\"color: #993366\">convergence domain of the truncated series, Laplace transform to the Adomian\u2019s<\/span><\/h3>\n<h3 style=\"text-align: left\"><span style=\"color: #993366\">series solution have been applied, and yielding good results.<\/span><\/h3>\n<h3 style=\"text-align: left\"><span style=\"color: #993366\">A new modification of decomposition method is proposed to overcome the<\/span><\/h3>\n<h3 style=\"text-align: left\"><span style=\"color: #993366\">computational difficulties, as well as a comparison of the results found to those<\/span><\/h3>\n<h3 style=\"text-align: left\"><span style=\"color: #993366\">\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0 \u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0 found by other modifications. The convergence of the suggested modification is<\/span><\/h3>\n<h3 style=\"text-align: left\"><span style=\"color: #993366\">proved.<\/span><\/h3>\n<p>&nbsp;<\/p>\n","protected":false},"excerpt":{"rendered":"<p>\u0646\u0627\u0642\u0634 \u0642\u0633\u0645 \u0627\u0644\u0631\u064a\u0627\u0636\u064a\u0627\u062a \u0641\u064a \u0643\u0644\u064a\u0629 \u0627\u0644\u062a\u0631\u0628\u064a\u0629 \u0644\u0644\u0639\u0644\u0648\u0645 \u0627\u0644\u0635\u0631\u0641\u0629 (\u0627\u0628\u0646 \u0627\u0644\u0647\u064a\u062b\u0645) \u0631\u0633\u0627\u0644\u0629 \u0627\u0644\u0645\u0627\u062c\u0633\u062a\u064a\u0631 \u0627\u0644\u0645\u0648\u0633\u0648\u0645\u0629 ( \u00a0\u062f\u0631\u0627\u0633\u0629 \u0645\u0642\u0627\u0631\u0646\u0629 \u0628\u064a\u0646 \u0637\u0631\u064a\u0642\u0629 \u0627\u0644\u062a\u0641\u0643\u064a\u0643 \u0648\u062a\u0639\u062f\u064a\u0644\u0627\u062a\u0647\u0627&#8230;.<a class=\"cz_readmore\" href=\"https:\/\/ihcoedu.uobaghdad.edu.iq\/?p=33904\"><i class=\"fa fa-angle-left\" aria-hidden=\"true\"><\/i><span>\u0627\u0644\u0645\u0632\u064a\u062f<\/span><\/a><\/p>\n","protected":false},"author":25,"featured_media":33906,"comment_status":"closed","ping_status":"closed","sticky":false,"template":"","format":"standard","meta":{"_lmt_disableupdate":"no","_lmt_disable":"","footnotes":""},"categories":[7,16],"tags":[23,49],"class_list":["post-33904","post","type-post","status-publish","format-standard","has-post-thumbnail","hentry","category-7","category-16","tag-ihcoedu","tag-math"],"modified_by":"ihcoedu","_links":{"self":[{"href":"https:\/\/ihcoedu.uobaghdad.edu.iq\/index.php?rest_route=\/wp\/v2\/posts\/33904","targetHints":{"allow":["GET"]}}],"collection":[{"href":"https:\/\/ihcoedu.uobaghdad.edu.iq\/index.php?rest_route=\/wp\/v2\/posts"}],"about":[{"href":"https:\/\/ihcoedu.uobaghdad.edu.iq\/index.php?rest_route=\/wp\/v2\/types\/post"}],"author":[{"embeddable":true,"href":"https:\/\/ihcoedu.uobaghdad.edu.iq\/index.php?rest_route=\/wp\/v2\/users\/25"}],"replies":[{"embeddable":true,"href":"https:\/\/ihcoedu.uobaghdad.edu.iq\/index.php?rest_route=%2Fwp%2Fv2%2Fcomments&post=33904"}],"version-history":[{"count":0,"href":"https:\/\/ihcoedu.uobaghdad.edu.iq\/index.php?rest_route=\/wp\/v2\/posts\/33904\/revisions"}],"wp:featuredmedia":[{"embeddable":true,"href":"https:\/\/ihcoedu.uobaghdad.edu.iq\/index.php?rest_route=\/wp\/v2\/media\/33906"}],"wp:attachment":[{"href":"https:\/\/ihcoedu.uobaghdad.edu.iq\/index.php?rest_route=%2Fwp%2Fv2%2Fmedia&parent=33904"}],"wp:term":[{"taxonomy":"category","embeddable":true,"href":"https:\/\/ihcoedu.uobaghdad.edu.iq\/index.php?rest_route=%2Fwp%2Fv2%2Fcategories&post=33904"},{"taxonomy":"post_tag","embeddable":true,"href":"https:\/\/ihcoedu.uobaghdad.edu.iq\/index.php?rest_route=%2Fwp%2Fv2%2Ftags&post=33904"}],"curies":[{"name":"wp","href":"https:\/\/api.w.org\/{rel}","templated":true}]}}