Solving reaction-diffusion problems with explicit Runge-Kutta exponential methods without order reduction

DOI10.1051/M2AN/2024011zbMATH Open1546.65068MaRDI QIDQ6593968

M. J. Moreta, Begoña Cano

Publication date: 27 August 2024

Published in: European Series in Applied and Industrial Mathematics (ESAIM): Mathematical Modelling and Numerical Analysis (Search for Journal in Brave)

zbMATH Keywords

exponential Runge-Kutta methodsnonlinear reaction-diffusion problemsavoiding order reduction in time

Mathematics Subject Classification ID

Maximum principles in context of PDEs (35B50) Finite element, Rayleigh-Ritz and Galerkin methods for boundary value problems involving PDEs (65N30) 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) Iterative numerical methods for linear systems (65F10) Finite element, Rayleigh-Ritz and Galerkin methods for initial value and initial-boundary value problems involving PDEs (65M60) Multistep, Runge-Kutta and extrapolation methods for ordinary differential equations (65L06) Finite difference methods for boundary value problems involving PDEs (65N06) Method of lines for initial value and initial-boundary value problems involving PDEs (65M20) Numerical methods for stiff equations (65L04)

Cites Work

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