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Discretization of partial differential equations for computer evaluation
Author(s) -
Fazarinc Zvonko
Publication year - 1992
Publication title -
computer applications in engineering education
Language(s) - English
Resource type - Journals
SCImago Journal Rank - 0.478
H-Index - 29
eISSN - 1099-0542
pISSN - 1061-3773
DOI - 10.1002/cae.6180010108
Subject(s) - partial differential equation , discretization , computer science , numerical partial differential equations , stochastic partial differential equation , differential equation , separable partial differential equation , mathematics , calculus (dental) , algorithm , theoretical computer science , ordinary differential equation , differential algebraic equation , mathematical analysis , medicine , dentistry
Physics described by partial differential equations is difficult to visualize. Computer solutions of such equations supported with dynamic graphic displays are therefore of high interest to educators and scientists [1]. Translation of partial differential equations into formats understood by computers is beset with complexity and pitfalls. This article explores a direct method for deriving the relevant algorithms from physics itself and illustrates the approach with examples in propagation and diffusion. The resulting algorithms are cast into C‐language.