کد مقاله کد نشریه سال انتشار مقاله انگلیسی نسخه تمام متن
471890 698674 2009 10 صفحه PDF دانلود رایگان
عنوان انگلیسی مقاله ISI
Study of convergence of homotopy perturbation method for systems of partial differential equations
موضوعات مرتبط
مهندسی و علوم پایه مهندسی کامپیوتر علوم کامپیوتر (عمومی)
پیش نمایش صفحه اول مقاله
Study of convergence of homotopy perturbation method for systems of partial differential equations
چکیده انگلیسی

The aim of this paper is convergence study of homotopy perturbation method for systems of nonlinear partial differential equations. The sufficient condition for convergence of the method is addressed. Since mathematical modeling of numerous scientific and engineering experiments lead to Brusselator and Burgers’ system of equations, it is worth trying new methods to solve these systems. We construct a new efficient recurrent relation to solve nonlinear Burgers’ and Brusselator systems of equations. Comparison of the results obtained by homotopy perturbation method with those of Adomian’s decomposition method and dual-reciprocity boundary element method leads to significant consequences. Two standard problems are used to validate the method.

ناشر
Database: Elsevier - ScienceDirect (ساینس دایرکت)
Journal: Computers & Mathematics with Applications - Volume 58, Issues 11–12, December 2009, Pages 2221–2230
نویسندگان
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