Article ID Journal Published Year Pages File Type
1709959 Applied Mathematics Letters 2010 9 Pages PDF
Abstract

A finite difference method, namely the θθ-scheme, is used to solve a partial differential equation with piecewise continuous arguments. First, an example is given to show that the results for original PDEs do not hold for PDEs with piecewise continuous arguments. Next, for the mesh ratio satisfying certain conditions, the stability of this scheme is obtained.

Related Topics
Physical Sciences and Engineering Engineering Computational Mechanics
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