Numerical conservation laws of time fractional diffusion PDEs

نویسندگان

چکیده

Abstract This paper introduces sufficient conditions to determine conservation laws of diffusion equations arbitrary fractional order in time. Numerical methods that satisfy discrete counterparts these have approximate the continuous ones. On basis this result, we derive for a mixed scheme combines finite difference method space with spectral integrator A range numerical experiments shows convergence proposed and its properties.

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ژورنال

عنوان ژورنال: Fractional Calculus and Applied Analysis

سال: 2022

ISSN: ['1311-0454', '1314-2224']

DOI: https://doi.org/10.1007/s13540-022-00059-7