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• W2128030761 abstract "In this work, a first order and second order difference schemes, namely Rothe and Crank-Nicholson, respectively, for solving nonlocal boundary value problems for parabolic differential equations are presented. The stability of the difference schemes are proved by using the matrix stability approach. Numerical results are provided to illustrate the accuracy and efficiency of the schemes. Key words: Matrix stability, Rothe difference scheme, Crank-Nicholson difference scheme, Kailath Theorem, nonlocal boundary value problems for parabolic differential equations, Schur complement, matrix block inversion." @default.
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• W2128030761 date "2011-02-18" @default.
• W2128030761 modified "2023-09-24" @default.
• W2128030761 title "Matrix stability of the difference schemes for nonlocal boundary value problems for parabolic differential equations" @default.
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• W2128030761 doi "https://doi.org/10.5897/ijps11.082" @default.
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