对流-扩散方程初边值问题的重整化群方法

Abstract

Abstract: We studied a class of singular perturbation initial-boundary value problem of the convection-diffusion equation by using the perturbed renormalization group method. Firstly, the delay differential equation was decomposed into left and right boundary value problems without delay. Secondly, the asymptotic solutions of left and right problems were constructed by using renormalization group method. Finally, the left and right solutions were connected by smooth joint condition, and the asymptotic solutions of the original problem were obtained.

Key words: renormalization group method, singular perturbation, convection-diffusion equation

CLC Number:

O175.12

ZHOU Ran, ZHANG Yanni. Renormalization Group Method for Initial-Boundary Value Problem of Convection-Diffusion Equation[J].Journal of Jilin University Science Edition, 2020, 58(5): 1154-1158.

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Renormalization Group Method for Initial-Boundary Value Problem of Convection-Diffusion Equation

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