A robust numerical approach for singularly perturbed time delayed parabolic partial differential equations

DOI10.1007/s10598-012-9122-5zbMath1253.65126OpenAlexW1979750502MaRDI QIDQ5894791

Manju Sharma, Aditya Kaushik

Publication date: 12 December 2012

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

Full work available at URL: https://doi.org/10.1007/s10598-012-9122-5

Mathematics Subject Classification ID

Finite difference methods for initial value and initial-boundary value problems involving PDEs (65M06)

Related Items (17)

Robust numerical schemes for singularly perturbed delay parabolic convection-diffusion problems with degenerate coefficient ⋮ A higher order uniformly convergent method for singularly perturbed delay parabolic partial differential equations ⋮ A high order robust numerical scheme for singularly perturbed delay parabolic convection diffusion problems ⋮ Analysis of Difference Approximations to Delay Pseudo-Parabolic Equations ⋮ A parameter‐uniform scheme for the parabolic singularly perturbed problem with a delay in time ⋮ An improved time accurate numerical estimation for singularly perturbed semilinear parabolic differential equations with small space shifts and a large time lag ⋮ A higher order compact numerical approach for singularly perturbed parabolic problem with retarded term ⋮ A REPRODUCING KERNEL METHOD FOR SOLVING SINGULARLY PERTURBED DELAY PARABOLIC PARTIAL DIFFERENTIAL EQUATIONS ⋮ 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 ⋮ Robust numerical schemes for time delayed singularly perturbed parabolic problems with discontinuous convection and source terms ⋮ Analytic approximation to delayed convection dominated systems through transforms ⋮ Parameter-Robust Numerical Scheme for Time-Dependent Singularly Perturbed Reaction–Diffusion Problem with Large Delay ⋮ Parameter uniform numerical scheme for time dependent singularly perturbed convection-diffusion-reaction problems with general shift arguments ⋮ An adaptive difference scheme for parabolic delay differential equation with discontinuous coefficients and interior layers ⋮ Shishkin mesh based septic Hermite interpolation algorithm for time-dependent singularly perturbed convection-diffusion models ⋮ An efficient uniformly convergent numerical scheme for singularly perturbed semilinear parabolic problems with large delay in time

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