Analysis of Numerical Method for Diffusion Equation with Time-Fractional Caputo–Fabrizio Derivative

نویسندگان

چکیده

In this paper, we propose a high-precision discrete scheme for the time-fractional diffusion equation (TFDE) with Caputo-Fabrizio type. First, special of C-F derivative is used in time direction and compact difference operator space direction. Second, discuss convergence proposed method L 1 -norm id="M2"> 2 -norm. The order our id="M3"> O τ + h 4 , where id="M4"> id="M5"> are temporal spatial step sizes, respectively. aim paper to show that fractional without singular term very useful improving accuracy scheme.

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ژورنال

عنوان ژورنال: Journal of Mathematics

سال: 2023

ISSN: ['2314-4785', '2314-4629']

DOI: https://doi.org/10.1155/2023/7906656