High-order time-stepping methods for two-dimensional Riesz fractional nonlinear reaction-diffusion equations

DOI10.1016/j.camwa.2020.03.010zbMath1446.65083OpenAlexW3019673454MaRDI QIDQ2192548

Muhammad Irfan Yousuf, Khaled M. Furati, Abdul Q. M. Khaliq

Publication date: 17 August 2020

Published in: Computers \& Mathematics with Applications (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/j.camwa.2020.03.010

zbMATH Keywords

anomalous diffusionFisher's equationAllen-Cahn equationfractional diffusionenzyme kinetics equation

Mathematics Subject Classification ID

PDEs in connection with biology, chemistry and other natural sciences (35Q92) Kinetics in biochemical problems (pharmacokinetics, enzyme kinetics, etc.) (92C45) 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) Multistep, Runge-Kutta and extrapolation methods for ordinary differential equations (65L06) PDEs in connection with mechanics of deformable solids (35Q74)

Related Items (3)

Fourth-order alternating direction implicit difference scheme to simulate the space-time Riesz tempered fractional diffusion equation ⋮ Numerical solution of multidimensional time‐space fractional differential equations of distributed order with Riesz derivative ⋮ A hybrid fourth order time stepping method for space distributed order nonlinear reaction-diffusion equations

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