A split-step predictor-corrector method for space-fractional reaction-diffusion equations with nonhomogeneous boundary conditions

DOI10.1007/s42967-019-00030-zzbMath1449.65186OpenAlexW2947173926MaRDI QIDQ2289869

Kamran Kazmi, Abdul Q. M. Khaliq

Publication date: 27 January 2020

Published in: Communications on Applied Mathematics and Computation (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/s42967-019-00030-z

zbMATH Keywords

predictor-corrector methodfractional Laplacianmatrix transfer techniquenon-homogeneous boundary conditionsspace-fractional reaction-diffusion equations

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) Method of lines for initial value and initial-boundary value problems involving PDEs (65M20) Fractional partial differential equations (35R11)

Related Items (6)

Fourth-order alternating direction implicit difference scheme to simulate the space-time Riesz tempered fractional diffusion equation ⋮ Nonlinear wave transmission in harmonically driven Hamiltonian sine-Gordon regimes with memory effects ⋮ Complex-order fractional diffusion in reaction-diffusion systems ⋮ Predictor-corrector schemes for nonlinear space-fractional parabolic PDEs with time-dependent boundary conditions ⋮ An efficient split-step method for distributed-order space-fractional reaction-diffusion equations with time-dependent boundary conditions ⋮ A second order numerical method for the time-fractional Black-Scholes European option pricing model

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