Well-posedness of the boundary value problem for parabolic equations in difference analogues of spaces of smooth functions.

Ashyralyev, A.

Displaying similar documents to “Well-posedness of the boundary value problem for parabolic equations in difference analogues of spaces of smooth functions.”

On well-posedness of the nonlocal boundary value problem for parabolic difference equations.

Ashyralyev, A., Karatay, I., Sobolevskii, P.E. (2004)

Discrete Dynamics in Nature and Society

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On second order of accuracy difference scheme of the approximate solution of nonlocal elliptic-parabolic problems.

Ashyralyev, Allaberen, Gercek, Okan (2010)

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A note on the parabolic differential and difference equations.

Ashyralyev, Allaberen, Sozen, Yasar, Sobolevskii, Pavel E. (2007)

Abstract and Applied Analysis

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Comparison of explicit and implicit difference schemes for parabolic functional differential equations

Zdzisław Kamont, Karolina Kropielnicka (2012)

Annales Polonici Mathematici

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Initial-boundary value problems of Dirichlet type for parabolic functional differential equations are considered. Explicit difference schemes of Euler type and implicit difference methods are investigated. The following theoretical aspects of the methods are presented. Sufficient conditions for the convergence of approximate solutions are given and comparisons of the methods are presented. It is proved that the assumptions on the regularity of the given functions are the same for both...

Implicit difference schemes for mixed problems related to parabolic functional differential equations

Milena Netka (2011)

Annales Polonici Mathematici

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Solutions of initial boundary value problems for parabolic functional differential equations are approximated by solutions of implicit difference schemes. The existence and uniqueness of approximate solutions is proved. The proof of the stability is based on a comparison technique with nonlinear estimates of the Perron type for given operators. It is shown that the new methods are considerably better than the explicit difference schemes. Numerical examples are presented.