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

Ashyralyev, Allaberen; Gercek, Okan

Displaying similar documents to “On second order of accuracy difference scheme of the approximate solution of nonlocal elliptic-parabolic problems.”

Nonlocal boundary value problems for elliptic-parabolic differential and difference equations.

Ashyralyev, Allaberen, Gercek, Okan (2008)

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

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

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

Ashyralyev, A. (2007)

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Well-posedness of the difference schemes of the high order of accuracy for elliptic equations.

Ashyralyev, Allaberen, Sobolevskiĭ, Pavel E. (2006)

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Modified Crank-Nicolson difference schemes for nonlocal boundary value problem for the Schrödinger equation.

Ashyralyev, Allaberen, Sirma, Ali (2009)

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A note on the parabolic differential and difference equations.

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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.