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Temporal second-order difference schemes for the nonlinear time-fractional mixed sub-diffusion and diffusion-wave equation with delay

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Publication:6558858
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DOI10.1016/j.physd.2024.134194MaRDI QIDQ6558858

Cheng-Ming Huang, Mohammad Shahbazi Asl, Aslan Martinovich Apekov, Anatoly A. Alikhanov

Publication date: 21 June 2024

Published in: Physica D (Search for Journal in Brave)



zbMATH Keywords

nonlinear partial differential equationpartial differential equation with delayfast numerical methodstability of the approximate solutionmixed sub-diffusion and diffusion-wave equationsum of exponentials approximation


Mathematics Subject Classification ID

Fractional derivatives and integrals (26A33) Finite difference methods for initial value and initial-boundary value problems involving PDEs (65M06) Stability and convergence of numerical methods for initial value and initial-boundary value problems involving PDEs (65M12) Finite difference methods for boundary value problems involving PDEs (65N06) Fractional partial differential equations (35R11) Inequalities applied to PDEs involving derivatives, differential and integral operators, or integrals (35A23) PDEs on time scales (35R07)








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