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Some Features of the Asymptotic- Numerical Method for the Moving Fronts Description in Two-Dimensional Reaction-Diffusion Problems

机译：二维反应扩散问题中移动前沿描述的渐近数值方法的一些特征

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This paper develops an analytic-numerical approach for the description of moving fronts in two-dimensional nonlinear singularly perturbed parabolic equations. Asymptotic technique allows to reduce two-dimensional nonlinear reaction-diffusion equation to a series of more simple one-dimensional problems. This decomposition significantly decreases the complexity of numerical calculations and allows the effective use of parallel computing. Some numerical experiments are presented to demonstrate the main features of the proposed method.

机译：本文针对二维非线性奇异摄动抛物线方程中的运动前沿提出了一种解析数值方法。渐近技术可以将二维非线性反应扩散方程简化为一系列更简单的一维问题。这种分解显着降低了数值计算的复杂性，并允许有效使用并行计算。进行了一些数值实验，以证明该方法的主要特征。

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《Finite difference methods: theory and applications》|2018年|612-620|共9页
会议地点 Lozenetz(BG)
作者
Vladimir Volkov; Dmitry Lukyanenko;
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作者单位

Department of Mathematics, Faculty of Physics, Lomonosov Moscow State University, 119991 Moscow, Russia;

Department of Mathematics, Faculty of Physics, Lomonosov Moscow State University, 119991 Moscow, Russia;

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正文语种 eng
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1. Solving of the coefficient inverse problem for a nonlinear singularly perturbed two-dimensional reaction-diffusion equation with the location of moving front data [J] . Lukyanenko D. V., Grigorev V. B., Volkov V. T., Computers & mathematics with applications . 2019,第5期

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4. Some Features of the Asymptotic-Numerical Method for the Moving Fronts Description in Two-Dimensional Reaction-Diffusion Problems [C] . Vladimir Volkov, Dmitry Lukyanenko International Conference on Finite Difference Methods . 2019

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Some Features of the Asymptotic- Numerical Method for the Moving Fronts Description in Two-Dimensional Reaction-Diffusion Problems

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