کد مقاله کد نشریه سال انتشار مقاله انگلیسی نسخه تمام متن
4640941 1632053 2009 11 صفحه PDF دانلود رایگان
عنوان انگلیسی مقاله ISI
Numerical solution of the nonlinear Klein–Gordon equation using radial basis functions
موضوعات مرتبط
مهندسی و علوم پایه ریاضیات ریاضیات کاربردی
پیش نمایش صفحه اول مقاله
Numerical solution of the nonlinear Klein–Gordon equation using radial basis functions
چکیده انگلیسی

The nonlinear Klein–Gordon equation is used to model many nonlinear phenomena. In this paper, we propose a numerical scheme to solve the one-dimensional nonlinear Klein–Gordon equation with quadratic and cubic nonlinearity. Our scheme uses the collocation points and approximates the solution using Thin Plate Splines (TPS) radial basis functions (RBF). The implementation of the method is simple as finite difference methods. The results of numerical experiments are presented, and are compared with analytical solutions to confirm the good accuracy of the presented scheme.

ناشر
Database: Elsevier - ScienceDirect (ساینس دایرکت)
Journal: Journal of Computational and Applied Mathematics - Volume 230, Issue 2, 15 August 2009, Pages 400–410
نویسندگان
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