Finite difference solutions for parabolic equations with the time weighting initial conditions

Yanping Lin

doi:10.1016/0096-3003(94)90165-1

Finite difference solutions for parabolic equations with the time weighting initial conditions

Yanping Lin

Research output: Journal article publication › Journal article › Academic research › peer-review

8 Citations (Scopus)

Abstract

A class of nonlinear parabolic boundary value problems with time weighting initial condition is considered. Instead of studying the existence, uniqueness, and continuous dependence of the solution upon the data we give a brief review of the known results and then concentrate on the performance of the backward Euler and Crank-Nicolson finite difference schemes [1]. The results of some numerical examples are presented which demonstrate the efficiency and rapid convergence.

Original language	English
Pages (from-to)	49-61
Number of pages	13
Journal	Applied Mathematics and Computation
Volume	65
Issue number	1-3
DOIs	https://doi.org/10.1016/0096-3003(94)90165-1
Publication status	Published - 1 Jan 1994
Externally published	Yes

ASJC Scopus subject areas

Computational Mathematics
Applied Mathematics

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10.1016/0096-3003(94)90165-1

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Finite difference solutions for parabolic equations with the time weighting initial conditions

Abstract

ASJC Scopus subject areas

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