Numerical solution of reaction-diffusion systems of \(\lambda\)-\(\omega\) type by trigonometrically fitted methods

DOI10.1016/j.cam.2015.08.012zbMath1327.65180OpenAlexW1187508361MaRDI QIDQ893143

Raffaele D'Ambrosio, Beatrice Paternoster

Publication date: 13 November 2015

Published in: Journal of Computational and Applied Mathematics (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/j.cam.2015.08.012

zbMATH Keywords

finite differencesnumerical experimentreaction-diffusion equationssemi-discretizationexponential fittingtrigonometric fitting\(\lambda\)-\(\omega\) systemsperiodic plane wave solutions

Mathematics Subject Classification ID

Reaction-diffusion equations (35K57) Finite difference methods for initial value and initial-boundary value problems involving PDEs (65M06) Method of lines for initial value and initial-boundary value problems involving PDEs (65M20)

Related Items (14)

Adapted numerical methods for advection-reaction-diffusion problems generating periodic wavefronts ⋮ Numerical solution of time fractional diffusion systems ⋮ Jacobian-dependent vs Jacobian-free discretizations for nonlinear differential problems ⋮ Exponentially fitted two-step peer methods for oscillatory problems ⋮ Solving time-fractional reaction-diffusion systems through a tensor-based parallel algorithm ⋮ Adapted numerical modelling of the Belousov-Zhabotinsky reaction ⋮ Multivalue collocation methods free from order reduction ⋮ A new matrix method for solving two-dimensional time-dependent diffusion equations with Dirichlet boundary conditions ⋮ High order exponentially fitted methods for Volterra integral equations with periodic solution ⋮ Multivalue mixed collocation methods ⋮ Optimal explicit Runge-Kutta methods for compressible Navier-Stokes equations ⋮ Collocation methods for Volterra integral and integro-differential equations: a review ⋮ Adapted explicit two-step peer methods ⋮ Parameter estimation in IMEX-trigonometrically fitted methods for the numerical solution of reaction-diffusion problems

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