Finite Difference Method for the Reverse Parabolic Problem

Finite Difference Method for the Reverse Parabolic Problem

A finite difference method for the approximate solution of the reverse multidimensional parabolic differential equation with a multipoint boundary condition and Dirichlet condition is applied. Stability, almost coercive stability, and coercive stability estimates for the solution of the first and se...

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Veröffentlicht in:Abstract and Applied Analysis 2012-01, Vol.2012 (1), p.1268-1284-178
Hauptverfasser: Ashyralyyev, Charyyar, Dural, Ayfer, Sozen, Yasar
Format: Artikel
Sprache:eng
Schlagworte:
Algorithms
Approximation
Coercive force
Dirichlet problem
Estimates
Finite difference method
Fluid dynamics
Mathematical analysis
Mathematical models
Stability
Studies
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Beschreibung
Zusammenfassung:A finite difference method for the approximate solution of the reverse multidimensional parabolic differential equation with a multipoint boundary condition and Dirichlet condition is applied. Stability, almost coercive stability, and coercive stability estimates for the solution of the first and second orders of accuracy difference schemes are obtained. The theoretical statements are supported by the numerical example.
ISSN:1085-3375
1687-0409
DOI:10.1155/2012/294154