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A numerical treatment to the solution of quasiparabolic partial differential equations

โœ Scribed by Pavol Chocholaty

Publisher
John Wiley and Sons
Year
1993
Tongue
English
Weight
425 KB
Volume
36
Category
Article
ISSN
0029-5981

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โœฆ Synopsis

This paper presents results obtained by the implementation of a hybrid Laplace transform finite element method to the solution of quasiparabolic problem. The present method removes the time derivatives from the quasiparabolic partial differential equation using the Laplace transform and then solves the associated equation with the finite element method. The numerical inverse of the Laplace transform is realized by solving linear overdetermined systems and a polynomial equation of the kth order. Test examples are used to show that the numerical solution is comparable to the exact solution of the initial-boundary value problem at the given grid points.

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