An Efficient Hybrid Numerical Scheme for Nonlinear Multiterm Caputo Time and Riesz Space Fractional-Order Diffusion Equations with Delay

An Efficient Hybrid Numerical Scheme for Nonlinear Multiterm Caputo Time and Riesz Space Fractional-Order Diffusion Equations with Delay

In this paper, we construct and analyze a linearized finite difference/Galerkin–Legendre spectral scheme for the nonlinear multiterm Caputo time fractional-order reaction-diffusion equation with time delay and Riesz space fractional derivatives. The temporal fractional orders in the considered model...

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Veröffentlicht in:Journal of function spaces 2021, Vol.2021, p.1-13
Hauptverfasser: Omran, A. K., Zaky, M. A., Hendy, A. S., Pimenov, V. G.
Format: Artikel
Sprache:eng
Schlagworte:
Approximation
Boundary conditions
Convergence
Finite difference method
Galerkin method
Partial differential equations
Polynomials
Reaction-diffusion equations
Spectral methods
Time lag
Viscoelasticity
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Zusammenfassung:In this paper, we construct and analyze a linearized finite difference/Galerkin–Legendre spectral scheme for the nonlinear multiterm Caputo time fractional-order reaction-diffusion equation with time delay and Riesz space fractional derivatives. The temporal fractional orders in the considered model are taken as 0
ISSN:2314-8896
2314-8888
DOI:10.1155/2021/5922853