Parameter-Robust Numerical Scheme for Time-Dependent Singularly Perturbed Reaction–Diffusion Problem with Large Delay
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Publication:4639193
DOI10.1080/01630563.2016.1277742zbMath1448.65090OpenAlexW2618607800MaRDI QIDQ4639193
Publication date: 3 May 2018
Published in: Numerical Functional Analysis and Optimization (Search for Journal in Brave)
Full work available at URL: https://doi.org/10.1080/01630563.2016.1277742
singular perturbationfinite difference schemeinterior layerdifferential-difference equationsconvection-diffusion parabolic problemfitted mesh
Singular perturbations in context of PDEs (35B25) Initial-boundary value problems for second-order parabolic equations (35K20) 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) Mesh generation, refinement, and adaptive methods for the numerical solution of initial value and initial-boundary value problems involving PDEs (65M50) Singular parabolic equations (35K67)
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UNIFORMLY CONVERGENT NUMERICAL METHOD FOR SINGULARLY PERTURBED DELAY PARABOLIC DIFFERENTIAL EQUATIONS ARISING IN COMPUTATIONAL NEUROSCIENCE ⋮ Parameter-uniform numerical scheme for singularly perturbed delay parabolic reaction diffusion equations with integral boundary condition ⋮ \(\varepsilon \)-uniform numerical technique for the class of time dependent singularly perturbed parabolic problems with state dependent retarded argument arising from generalised Stein's model of neuronal variability ⋮ Unnamed Item ⋮ Numerical treatment on parabolic singularly perturbed differential difference equation via fitted operator scheme ⋮ A parameter-uniform numerical scheme for solving singularly perturbed parabolic reaction-diffusion problems with delay in the spatial variable ⋮ Parameter uniform fitted mesh finite difference scheme for elliptical singularly perturbed problems with mixed shifts in two dimensions ⋮ Accelerated parameter-uniform numerical method for singularly perturbed parabolic convection-diffusion problems with a large negative shift and integral boundary condition ⋮ Analysis of a higher order uniformly convergent method for singularly perturbed parabolic delay problems ⋮ A uniformly convergent difference method for singularly perturbed parabolic partial differential equations with large delay and integral boundary condition ⋮ Uniform difference method for singularly pertubated delay Sobolev problems ⋮ Parameter-uniform numerical treatment of singularly perturbed initial-boundary value problems with large delay ⋮ A high order robust numerical scheme for the generalized Stein's model of neuronal variability ⋮ Higher order uniformly convergent numerical algorithm for time-dependent singularly perturbed differential-difference equations
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