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2012•Advanced materials researchOpen access

Methods of Moving Boundary Based on Artificial Boundary in Heat Conduction Direct Problem

Xue Yan Zhang, Qian Li, Da Quan Gu, Tai Ping Hou

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Abstract

The initial boundary value problem for parabolic equation with Neumann boundary condition is a kind of classical problem in partial differential equations. In this paper we use the artificial boundary to solve the moving boundary problem. Potential theory and difference method are discussed. Numerical results are given to support the proposed schemes and to give the compare of the two methods.

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What this paper is about

The initial boundary value problem for parabolic equation with Neumann boundary condition is a kind of classical problem in partial differential equations. In this paper we use the artificial boundary to solve the moving boundary problem. Potential theory and difference method are discussed. Numerical results are given to support the proposed schemes and to give the compare of the two methods.

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Available abstract

The initial boundary value problem for parabolic equation with Neumann boundary condition is a kind of classical problem in partial differential equations. In this paper we use the artificial boundary to solve the moving boundary problem. Potential theory and difference method are discussed. Numerical results are given to support the proposed schemes and to give the compare of the two methods.

Key concepts: Neumann boundary condition, Mixed boundary condition, Boundary value problem, Free boundary problem, Mathematics, Cauchy boundary condition, Robin boundary condition, Singular boundary method

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