A numerical solution of Burger’s equation based on modified extended BDF scheme
نویسنده
چکیده
Department of Mathematics, Faculty of science, Razi university, Kermanshah 67149, Iran. Abstract In this paper, we present a new method for solving of the Burger’s equation by combination of method of lines (MOL) and matrix free modified extended backward differential formula (MF-MEBDF). The method of lines semi discretization approach is used to transform the model partial differential equations (PDEs) in a system of first order ordinary differential equations (ODEs). Firstly theory of application of MOL on Burger’s equation presented. Secondly we considers some examples to show goodness of new method. Computational results using a code based on our method are presented for this examples . The numerical results obtained by this way have been compared with the exact solution to show the efficiency of the method. Mathematics Subject Classification: 35Q53
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