Efficient high-order compact exponential time differencing method for space-fractional reaction-diffusion systems with nonhomogeneous boundary conditions

DOI10.1007/s11075-019-00729-3zbMath1437.65089OpenAlexW2947662339WikidataQ115602972 ScholiaQ115602972MaRDI QIDQ2173334

Khaled M. Furati, Abdul Q. M. Khaliq, Harish P. Bhatt

Publication date: 22 April 2020

Published in: Numerical Algorithms (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/s11075-019-00729-3

zbMATH Keywords

Gray-Scott modelexponential time differencingBrusselator systemimproved matrix transfer techniquepartial fraction splitting techniquespace-fractional reaction-diffusion systems

Mathematics Subject Classification ID

Reaction-diffusion equations (35K57) 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) Chemically reacting flows (80A32) Error bounds for initial value and initial-boundary value problems involving PDEs (65M15) Direct numerical methods for linear systems and matrix inversion (65F05) Fractional partial differential equations (35R11) PDEs in connection with classical thermodynamics and heat transfer (35Q79)

Related Items

General linear and spectral Galerkin methods for the nonlinear two-sided space distributed-order diffusion equation, Implicit Runge-Kutta and spectral Galerkin methods for the two-dimensional nonlinear Riesz space fractional diffusion equation, Implicit Runge-Kutta and spectral Galerkin methods for the two-dimensional nonlinear Riesz space distributed-order diffusion equation, Predictor-corrector schemes for nonlinear space-fractional parabolic PDEs with time-dependent boundary conditions

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