A linearly implicit predicator-corrector method for reaction-diffusion equations

DOI10.1016/S0898-1221(99)00299-0zbMath0973.65080MaRDI QIDQ1975708

David A. Voss, Abdul Q. M. Khaliq

Publication date: 15 July 2001

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

zbMATH Keywords

stabilitynumerical resultsRunge-Kutta methodsreaction-diffusion equationspopulation ecologybiochemistry\(\theta\) methodsimplicit predictor-corrector scheme

Mathematics Subject Classification ID

Reaction-diffusion equations (35K57) Biochemistry, molecular biology (92C40) 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) Ecology (92D40) Multistep, Runge-Kutta and extrapolation methods for ordinary differential equations (65L06) Method of lines for initial value and initial-boundary value problems involving PDEs (65M20)

Related Items (7)

A real distinct poles rational approximation of generalized Mittag-Leffler functions and their inverses: applications to fractional calculus ⋮ Implicit-explicit predictor-corrector schemes for nonlinear parabolic differential equations ⋮ Linearly implicit methods for nonlinear PDEs with linear dispersion and dissipation ⋮ An efficient split-step method for distributed-order space-fractional reaction-diffusion equations with time-dependent boundary conditions ⋮ Fourth-order time stepping methods with matrix transfer technique for space-fractional reaction-diffusion equations ⋮ A split-step predictor-corrector method for space-fractional reaction-diffusion equations with nonhomogeneous boundary conditions ⋮ Robust spectral method for numerical valuation of european options under Merton's jump‐diffusion model

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