کد مقاله کد نشریه سال انتشار مقاله انگلیسی نسخه تمام متن
4640821 1341288 2009 10 صفحه PDF دانلود رایگان
عنوان انگلیسی مقاله ISI
Error analysis and applications of the Fourier–Galerkin Runge–Kutta schemes for high-order stiff PDEs
موضوعات مرتبط
مهندسی و علوم پایه ریاضیات ریاضیات کاربردی
پیش نمایش صفحه اول مقاله
Error analysis and applications of the Fourier–Galerkin Runge–Kutta schemes for high-order stiff PDEs
چکیده انگلیسی

An integrating factor mixed with Runge-Kutta technique is a time integration method that can be efficiently combined with spatial spectral approximations to provide a very high resolution to the smooth solutions of some linear and nonlinear partial differential equations. In this paper, the novel hybrid Fourier–Galerkin Runge–Kutta scheme, with the aid of an integrating factor, is proposed to solve nonlinear high-order stiff PDEs. Error analysis and properties of the scheme are provided. Application to the approximate solution of the nonlinear stiff Korteweg–de Vries (the 3rd order PDE, dispersive equation), Kuramoto–Sivashinsky (the 4th order PDE, dissipative equation) and Kawahara (the 5th order PDE) equations are presented. Comparisons are made between this proposed scheme and the competing method given by Kassam and Trefethen. It is found that for KdV, KS and Kawahara equations, the proposed method is the best.

ناشر
Database: Elsevier - ScienceDirect (ساینس دایرکت)
Journal: Journal of Computational and Applied Mathematics - Volume 231, Issue 1, 1 September 2009, Pages 124–133
نویسندگان
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