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《Journal of Huaiyin Teachers College(Natural Science Edition)》 2017-03
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Conservative Difference Scheme and Convergence Analysis for the General Improved KdV Equation

YE Chao;Academic Journal of Xihua University,Xihua University;  
This paper studies numerical solutions for an initial-boundary value problem of the general improved Kd V equation,and propose a two levels nonlinear finite difference scheme which is based on using weighted finite difference method in the spatial layer. The scheme reasonably simulates the two original conservative properties of the Kd V equation itself and the second-order convergence and unconditional stability of the difference scheme are analyzed by energy method on the basis of the priori error estimate of the difference solution.
【Fund】: 四川省社会科学数据出版研究项目(W14216274)
【CateGory Index】: O241.8
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