Computational study for a class of time-dependent singularly perturbed parabolic partial differential equation through tension spline

DOI10.1007/s40314-020-01278-5zbMath1463.65227OpenAlexW3047092813WikidataQ114219341 ScholiaQ114219341MaRDI QIDQ2204156

P. Murali Mohan Kumar, A. S. V. Ravi Kanth

Publication date: 15 October 2020

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

Full work available at URL: https://doi.org/10.1007/s40314-020-01278-5

zbMATH Keywords

Shishkin meshsingular perturbation problemsnonlinear differential-difference equationtension spline

Mathematics Subject Classification ID

Numerical computation using splines (65D07) Singular perturbations in context of PDEs (35B25) Initial-boundary value problems for second-order parabolic equations (35K20) Maximum principles in context of PDEs (35B50) 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) A priori estimates in context of PDEs (35B45) PDEs on time scales (35R07)

Related Items (7)

Trigonometric B-spline based ε-uniform scheme for singularly perturbed problems with Robin boundary conditions ⋮ A higher order compact numerical approach for singularly perturbed parabolic problem with retarded term ⋮ A uniformly convergent defect correction method for parabolic singular perturbation problems with a large delay ⋮ Uniformly convergent finite difference methods for singularly perturbed parabolic partial differential equations with mixed shifts ⋮ Unnamed Item ⋮ Shishkin mesh based septic Hermite interpolation algorithm for time-dependent singularly perturbed convection-diffusion models ⋮ A uniformly convergent numerical scheme for two parameters singularly perturbed parabolic convection-diffusion problems with a large temporal lag

Cites Work

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• A domain decomposition method for solving singularly perturbed parabolic reaction‐diffusion problems with time delay
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