Numerical solutions of two-dimensional Burgers' equations by discrete Adomian decomposition method

Authors:
Hongqing Zhu;Huazhong Shu;Meiyu Ding
Affiliations:
Department of Electronics and Communications Engineering, East China University of Science and Technology, No.130 Mei Long Road, Shanghai 200237, China;School of Computer Science and Engineering, Southeast University, Nanjing 210096, China;Department of Electronics and Communications Engineering, East China University of Science and Technology, No.130 Mei Long Road, Shanghai 200237, China
Venue:
Computers & Mathematics with Applications
Year:
2010

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Abstract

In this paper, the discrete Adomian decomposition method (ADM) is proposed to numerically solve the two-dimensional Burgers' nonlinear difference equations. Two test problems are considered to illustrate the accuracy of the proposed discrete decomposition method. It is shown that the numerical results are in good agreement with the exact solutions for each problem.