کد مقاله کد نشریه سال انتشار مقاله انگلیسی نسخه تمام متن
4625612 1631766 2016 14 صفحه PDF دانلود رایگان
عنوان انگلیسی مقاله ISI
An algorithm based on exponential modified cubic B-spline differential quadrature method for nonlinear Burgers’ equation
موضوعات مرتبط
مهندسی و علوم پایه ریاضیات ریاضیات کاربردی
پیش نمایش صفحه اول مقاله
An algorithm based on exponential modified cubic B-spline differential quadrature method for nonlinear Burgers’ equation
چکیده انگلیسی

In this paper, the authors developed a new differential quadrature method "exponential modified cubic B-spline differential quadrature method (Expo-MCB-DQM)” by using exponential modified cubic B-spline functions as test functions in the traditional differential quadrature method [32]. The new method is tested on one and two dimensional nonlinear Burgers’ equations. To check the efficiency and accuracy of the proposed method five numerical problems have been considered. The numerical results of the method are compared with some existing methods and found that the proposed numerical method produces more accurate results than existing methods. Stability analysis of the algorithm is also done by using matrix stability analysis method.

ناشر
Database: Elsevier - ScienceDirect (ساینس دایرکت)
Journal: Applied Mathematics and Computation - Volume 290, 1 November 2016, Pages 111–124
نویسندگان
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