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Finite difference solution of a system of first‐order partial differential equations
Author(s) -
Henwood D. J.,
Whiteman J. R.,
Yettram A. L.
Publication year - 1981
Publication title -
international journal for numerical methods in engineering
Language(s) - English
Resource type - Journals
SCImago Journal Rank - 1.421
H-Index - 168
eISSN - 1097-0207
pISSN - 0029-5981
DOI - 10.1002/nme.1620170907
Subject(s) - finite element method , mathematics , partial differential equation , mathematical analysis , finite difference method , differential equation , finite difference , finite difference coefficient , mixed finite element method , structural engineering , engineering
A finite difference solution of a system of first‐order partial differential equations, using a central difference scheme, is presented. The equations describe the linear elastic behaviour of a thick rectangular plate resting on an elastic foundation and carrying an arbitrary transverse load. The lateral edges of the plate are unstressed. The main deflections and stresses predicted by the method for a particular case are given, together for purposes of comparison, with results from a finite element analysis.