کد مقاله کد نشریه سال انتشار مقاله انگلیسی نسخه تمام متن
4634222 1340688 2008 9 صفحه PDF دانلود رایگان
عنوان انگلیسی مقاله ISI
Homotopy perturbation method for a type of nonlinear coupled equations with parameters derivative
موضوعات مرتبط
مهندسی و علوم پایه ریاضیات ریاضیات کاربردی
پیش نمایش صفحه اول مقاله
Homotopy perturbation method for a type of nonlinear coupled equations with parameters derivative
چکیده انگلیسی

In this paper, homotopy perturbation method is directly extended to investigate nonlinear coupled equations with parameters derivative and to derive their numerical solutions. These nonlinear coupled equations with parameters derivative contain many important mathematical physics equations and reaction–diffusion equations. By choosing different values of the parameters in general formal numerical solutions, as a result, a very rapidly convergent series solution is obtained. The efficiency and accuracy of the method are verified by using two famous examples: coupled Burgers and mKdV equations. Numerical solutions show that good results have been achieved.

ناشر
Database: Elsevier - ScienceDirect (ساینس دایرکت)
Journal: Applied Mathematics and Computation - Volume 204, Issue 2, 15 October 2008, Pages 764–772
نویسندگان
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