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A compact multisplitting scheme for nonlinear delay convection-reaction-diffusion equations
澳门新葡8455最新网站:2014年07月11日 00:00 点击数:

报告人:张诚坚

报告地点:澳门新葡8455最新网站317室

报告澳门新葡8455最新网站:2014年07月15日星期二10:00-11:00

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报告摘要:

This paper deals with the effective computation for nonlinear delay convection-reaction-diffusion equations. A new linearized compact multisplitting scheme is presented. Firstly, with an exponential transformation, we convert the equations into a class of delay reaction-diffusion equations. Then, the latter are discretized by compact difference method in space and multisplitting scheme in time. The error estimation of the computational scheme is derived under the sense of $L_1$-norm. To improve the accuracy in temporal direction, a Richardson extrapolation technique is utilized. Finally, some numerical examples are presented to illustrate the computational effectiveness of the scheme and the competitiveness with other numerical schemes.

主讲人概况:

张诚坚,华中科技大学二级教授,博士生导师,中国仿真算法专业委员会副主任委员,中国数学学会理事,中国计算数学学会常务理事,湖北省数学学会副理事长,《Contemporary Mathematics and Statistics》、《Abstract and Applied Analysis》、《数学杂志》编委。

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