THE STABILITY ANALYSIS OF APPROXIMATE SCHEMES FOR THE PLANE FRACTIONAL ORDER DIFFUSION EQUATION

Abstract

The evolution equation of fractional order by the space variables is considered in this paper. This equation models the diffusion factor in the process to transport any substance in some medium. An approximate scheme to solve numerically this problem is constructed, using the decomposition principle.

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Keywords

diffusion equation, equation of fractional order, approximate scheme

Citation

SECRIERU, Ivan. The stability analysis of approximate schemes for the plane fractional order diffusion equation. In: The Fourth Conference of Mathematical Society of the Republic of Moldova dedicated to the centenary of V. Andrunachievici (1917-1997): Proceeding CMSM4, June28-July2, 2017. Ch.: CEP USM, 2017, pp. 441-446. ISBN 978-9975-71-915-5.

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