Numerical solutions for the reaction–diffusion, diffusion‐wave, and Cattaneo equations using a new operational matrix for the Caputo–Fabrizio derivative

DOI10.1002/mma.6517zbMath1459.65199OpenAlexW3034889153MaRDI QIDQ5136847

Sachin Kumar, José Francisco Gómez-Aguilar, Prashant Pandey

Publication date: 30 November 2020

Published in: Mathematical Methods in the Applied Sciences (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1002/mma.6517

zbMATH Keywords

diffusion process partial differential equations fractional derivatives and integrals Caputo-Fabrizio derivative

Mathematics Subject Classification ID

Reaction-diffusion equations (35K57) Fractional derivatives and integrals (26A33) Spectral, collocation and related methods for initial value and initial-boundary value problems involving PDEs (65M70) Fractional partial differential equations (35R11) PDEs in connection with classical thermodynamics and heat transfer (35Q79)

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