A fitted numerical method for singularly perturbed parabolic reaction-diffusion problems

DOI10.1007/s40314-013-0033-7zbMath1277.35032OpenAlexW2027785655MaRDI QIDQ382453

Justin B. Munyakazi, Kailash C. Patidar

Publication date: 19 November 2013

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

Full work available at URL: http://hdl.handle.net/10566/3389

zbMATH Keywords

uniform convergencefitted operator finite difference methods

Mathematics Subject Classification ID

Singular perturbations in context of PDEs (35B25) Reaction-diffusion equations (35K57) Maximum principles in context of PDEs (35B50) Finite difference methods for initial value and initial-boundary value problems involving PDEs (65M06) Theoretical approximation in context of PDEs (35A35) Error bounds for initial value and initial-boundary value problems involving PDEs (65M15)

Related Items (11)

A robust numerical scheme for singularly perturbed parabolic reaction-diffusion problems via the method of lines ⋮ Accelerated fitted operator finite difference method for singularly perturbed parabolic reaction-diffusion problems ⋮ The stability and convergence analysis for singularly perturbed Sobolev problems with Robin type boundary condition ⋮ A robust higher-order fitted mesh numerical method for solving singularly perturbed parabolic reaction-diffusion problems ⋮ Parameter uniform numerical scheme for time dependent singularly perturbed convection-diffusion-reaction problems with general shift arguments ⋮ Unnamed Item ⋮ Unnamed Item ⋮ A Cartesian grid based tailored finite point method for reaction-diffusion equation on complex domains ⋮ Nonstandard finite difference methods: recent trends and further developments ⋮ Fitted mesh method for singularly perturbed parabolic problems with an interior layer ⋮ A higher order difference method for singularly perturbed parabolic partial differential equations

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