A numerical algorithm for the involutory parabolic problem

A numerical algorithm for the involutory parabolic problem

The Fourier series, Laplace and Fourier transforms are applicable for the solution of parabolic type involutory differential problem with constant or polynomial coefficients. In the present paper, the first and second order of accuracy difference schemes for the numerical solution of the initial bou...

Ausführliche Beschreibung

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Bibliographische Detailangaben
Hauptverfasser: Ashyralyev, Allaberen, Ahmed, Amer
Format: Tagungsbericht
Sprache:eng
Schlagworte:
Algorithms
Boundary value problems
Fourier series
Fourier transforms
Numerical analysis
Partial differential equations
Polynomials
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Beschreibung
Zusammenfassung:The Fourier series, Laplace and Fourier transforms are applicable for the solution of parabolic type involutory differential problem with constant or polynomial coefficients. In the present paper, the first and second order of accuracy difference schemes for the numerical solution of the initial boundary value problem for one dimensional parabolic type involutory partial differential equation are presented. Numerical results are given.
ISSN:0094-243X
1551-7616
DOI:10.1063/1.5136172