کد مقاله کد نشریه سال انتشار مقاله انگلیسی نسخه تمام متن
759751 896491 2011 13 صفحه PDF دانلود رایگان
عنوان انگلیسی مقاله ISI
Taylor–Galerkin and Taylor-collocation methods for the numerical solutions of Burgers’ equation using B-splines
موضوعات مرتبط
مهندسی و علوم پایه سایر رشته های مهندسی مهندسی مکانیک
پیش نمایش صفحه اول مقاله
Taylor–Galerkin and Taylor-collocation methods for the numerical solutions of Burgers’ equation using B-splines
چکیده انگلیسی

In this paper, for the numerical solution of Burgers’ equation, we give two B-spline finite element algorithms which involve a collocation method with cubic B-splines and a Galerkin method with quadratic B-splines. In time discretization of the equation, Taylor series expansion is used. In order to verify the stabilities of the purposed methods, von-Neumann stability analysis is employed. To see the accuracy of the methods, L2 and L∞ error norms are calculated and obtained results are compared with some earlier studies.

ناشر
Database: Elsevier - ScienceDirect (ساینس دایرکت)
Journal: Communications in Nonlinear Science and Numerical Simulation - Volume 16, Issue 7, July 2011, Pages 2696–2708
نویسندگان
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