Zhiyue Zhang

张志跃

Title

A hybrid asymptotic and augmented compact FVM for singular differential equation and its applications in the interface and control problems

Abstract

An accurate and efficient numerical method has been proposed for nonlinear singular two points boundary value problem. The scheme combines Puiseux series asymptotic technique with augmented fourth order compact finite volume method for the problem. Error estimates in different norms are obtained. Numerical examples confirm the theoretical analysis and efficiency of the method. We also apply this method for solving singular control and interface problems, numerical experiments show that the method works well for solving those problems.

Date

2019年7月9日，15:30-16:30

Location

数学科学学院424室

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