Approximations for Burgers’ equations with C-N scheme and RBF collocation methods
نویسندگان
چکیده
The Burgers’ equation is one of the typical nonlinear evolutionary partial differential equations. In this paper, a mesh-free method is proposed to solve the Burgers’ equation using the finite difference and collocation methods. With the temporal discretization of the equation using C-N scheme, the solution is approximated spatially by Radial Basis Function (RBF). The numerical results of two different examples indicate the high accuracy and flexibility of the presented method. c ©2016 All rights reserved.
منابع مشابه
Solving Burgers’ equation using C-N scheme and RBF collocation
Burgers’ equations is one of the typical nonlinear evolutionary partial differential equations. In this paper, a mesh-free method is proposed to solve the Burgers’ equation numerically using the finite difference and collocation methods. After the temporal discretization of the equation using C-N Scheme, the solution is approximated spatially by Radial Basis Function (RBF). The numerical result...
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