کد مقاله کد نشریه سال انتشار مقاله انگلیسی نسخه تمام متن
4628995 1340572 2013 12 صفحه PDF دانلود رایگان
عنوان انگلیسی مقاله ISI
A numerical scheme based on weighted average differential quadrature method for the numerical solution of Burgers’ equation
موضوعات مرتبط
مهندسی و علوم پایه ریاضیات ریاضیات کاربردی
پیش نمایش صفحه اول مقاله
A numerical scheme based on weighted average differential quadrature method for the numerical solution of Burgers’ equation
چکیده انگلیسی

In this work, a numerical scheme based on weighted average differential quadrature method is proposed to solve time dependent Burgers’ equation with appropriate initial and boundary conditions. In first step, time derivative is discretized by forward difference method. Then, quasilinearization process is used to tackle the non-linearity in the equation. The fully discretization leads to a system of linear equations which is solved by Gauss-elimination method. The method is analyzed for stability and convergence. Finally, the adaptability of proposed scheme is demonstrated by numerical experiments and compared with some existing numerical methods in literature. It is found that the proposed numerical scheme produce accurate results and quite easy to implement.

ناشر
Database: Elsevier - ScienceDirect (ساینس دایرکت)
Journal: Applied Mathematics and Computation - Volume 219, Issue 12, 15 February 2013, Pages 6680–6691
نویسندگان
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