An implicit logarithmic finite-difference technique for two dimensional coupled viscous Burgers' equation

作者：Srivastava Vineet K^*; Awasthi Mukesh K; Singh Sarita

来源：AIP Advances, 2013, 3(12): 122105.

DOI：10.1063/1.4842595

This article describes a new implicit finite-difference method: an implicit logarithmic finite-difference method (I-LFDM), for the numerical solution of two dimensional time-dependent coupled viscous Burgers' equation on the uniform grid points. As the Burgers' equation is nonlinear, the proposed technique leads to a system of nonlinear systems, which is solved by Newton's iterative method at each time step. Computed solutions are compared with the analytical solutions and those already available in the literature and it is clearly shown that the results obtained using the method is precise and reliable for solving Burgers' equation.

• 出版日期2013-12
• 单位中国石油大学（北京）