A Fortran program to generate finite difference formulas

A Fortran program to generate finite difference formulas

A discretization process is described by which it is possible to generate finite difference formulas for arbitrary linear two‐dimensional partial differential equations. The process is based on a novel approach to finite difference analysis in which differential operators are approximated by rectang...

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Veröffentlicht in:International journal for numerical methods in engineering 1975, Vol.9 (3), p.581-599
1. Verfasser: Csendes, Z. J.
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container_title International journal for numerical methods in engineering
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creator Csendes, Z. J.
description A discretization process is described by which it is possible to generate finite difference formulas for arbitrary linear two‐dimensional partial differential equations. The process is based on a novel approach to finite difference analysis in which differential operators are approximated by rectangular matrices. In this approach, the discrete form of a complicated operator is obtained by performing simple numerical operations on elementary matrix factors. The analysis is augmented by a listing of a computer program based on the method for the automatic generation of finite difference formulas.
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title A Fortran program to generate finite difference formulas
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