کد مقاله کد نشریه سال انتشار مقاله انگلیسی نسخه تمام متن
4642741 1341355 2007 10 صفحه PDF دانلود رایگان
عنوان انگلیسی مقاله ISI
Numerical solutions of nonlinear evolution equations using variational iteration method
موضوعات مرتبط
مهندسی و علوم پایه ریاضیات ریاضیات کاربردی
پیش نمایش صفحه اول مقاله
Numerical solutions of nonlinear evolution equations using variational iteration method
چکیده انگلیسی

The variational iteration method is used to solve three kinds of nonlinear partial differential equations, coupled nonlinear reaction diffusion equations, Hirota–Satsuma coupled KdV system and Drinefel’d–Sokolov–Wilson equations. Numerical solutions obtained by the variational iteration method are compared with the exact solutions, revealing that the obtained solutions are of high accuracy. He's variational iteration method is introduced to overcome the difficulty arising in calculating Adomian polynomial in Adomian method. The method is straightforward and concise, and it can also be applied to other nonlinear evolution equations in mathematical physics.

ناشر
Database: Elsevier - ScienceDirect (ساینس دایرکت)
Journal: Journal of Computational and Applied Mathematics - Volume 207, Issue 1, 1 October 2007, Pages 111–120
نویسندگان
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