Stability and convergence of difference schemes for boundary value problems for the fractional-order diffusion equation


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详细

A family of difference schemes for the fractional-order diffusion equation with variable coefficients is considered. By the method of energetic inequalities, a priori estimates are obtained for solutions of finite-difference problems, which imply the stability and convergence of the difference schemes considered. The validity of the results is confirmed by numerical calculations for test examples.

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A. Alikhanov

Institute of Applied Mathematics and Automation, Kabardino-Balkar Scientific Center

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Email: alikhanov-tom@yandex.ru
俄罗斯联邦, ul. Shortanova 89-A, Nalchik, 360000

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