Finite-difference schemes for a diffusion equation with fractional derivatives in a multidimensional domain |
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Authors: | N G Abrashina-Zhadaeva I A Timoshchenko |
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Institution: | 1. Belarusian State University, Minsk, Belarus
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Abstract: | In a multidimensional domain, we consider a partial differential equation with fractional space and time derivatives. For the first initial-boundary value problem, we consider a purely implicit scheme based on the approximate factorization method. We prove the stability of the implicit scheme for the considered class of problems. |
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