variational iteration method for initial and boundary value problems using he's polynomials

طريقة التكرار التغايري لمسائل القيم الابتدائية والحدية باستخدام كثيرات حدود هي

Clicks: 82
ID: 194337
2010
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Abstract
This paper outlines a detailed study of the coupling of He's polynomials with correction functional of variational iteration method (VIM) for solving various initial and boundary value problems. The elegant coupling gives rise to the modified versions of VIM which is very efficient in solving nonlinear problems of diversified nature. It is observed that the variational iteration method using He's polynomials (VIMHP) is very efficient, easier to implements, and more user friendly. Several examples are given to reconfirm the efficiency of the proposed VIMHP.
تستعرض هذه الورقة دراسة تفصيلية لاقتران كثيرات حدود "هي" بالدالي التصحيحي لطريقة التكرار التغايري (VIM) لحل مختلف مسائل القيم الابتدائية والحدية. ويُفضي هذا الاقتران المحكم إلى ظهور نُسخ معدلة من طريقة (VIM) تتسم بكفاءة عالية في حل المسائل غير الخطية ذات الطبيعة المتنوعة. ولوحظ أن طريقة التكرار التغايري باستخدام كثيرات حدود "هي" (VIMHP) عالية الكفاءة، وأسهل في التطبيق، وأكثر ملاءمة للمستخدم. وتُقدَّم عدة أمثلة لإعادة تأكيد كفاءة طريقة (VIMHP) المقترحة.
Reference Key
mohyud-din2010internationalvariational Use this key to autocite in the manuscript while using SciMatic Manuscript Manager or Thesis Manager
Authors Syed Tauseef Mohyud-Din, Ahmet Yildirim, M. M. Hosseini
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Journal Biological reviews of the Cambridge Philosophical Society
Year 2010
DOI
10.1155/2010/426213
URL
http://dx.doi.org/10.1155/2010/426213
Keywords
mathematics

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