An efficient uniformly convergent numerical scheme for singularly perturbed semilinear parabolic problems with large delay in time
From MaRDI portal
Publication:2089210
DOI10.1007/s12190-021-01633-7zbMath1496.65126OpenAlexW3200921232MaRDI QIDQ2089210
L. Govindrao, S. Priyadarshana, Jugal Mohapatra
Publication date: 6 October 2022
Published in: Journal of Applied Mathematics and Computing (Search for Journal in Brave)
Full work available at URL: https://doi.org/10.1007/s12190-021-01633-7
time delaysingular perturbationuniform convergencequasilinearization techniquesemilinear parabolic problem
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) Semilinear parabolic equations (35K58)
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Cites Work
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- A review on singularly perturbed differential equations with turning points and interior layers
- A uniformly convergent method for a singularly perturbed semilinear reaction-diffusion problem with discontinuous data
- Numerical methods for time-dependent convection-diffusion equations
- A finite element domain decomposition approximation for a semilinear parabolic singularly perturbed differential equation
- Uniformly convergent hybrid numerical scheme for singularly perturbed delay parabolic convection-diffusion problems on shishkin mesh
- Numerical analysis of singularly perturbed delay differential equations with layer behavior
- Uniformly convergent numerical method for singularly perturbed two parameter time delay parabolic problem
- A fourth-order numerical scheme for singularly perturbed delay parabolic problem arising in population dynamics
- Finite difference scheme for singularly perturbed reaction diffusion problem of partial delay differential equation with nonlocal boundary condition
- A higher order numerical scheme for singularly perturbed parabolic turning point problems exhibiting twin boundary layers
- A new stable finite difference scheme and its convergence for time-delayed singularly perturbed parabolic PDEs
- A robust numerical method for a two-parameter singularly perturbed time delay parabolic problem
- An efficient and uniformly convergent scheme for one-dimensional parabolic singularly perturbed semilinear systems of reaction-diffusion type
- Novel numerical scheme for singularly perturbed time delay convection-diffusion equation
- A new numerical method for singularly perturbed turning point problems with two boundary layers based on reproducing kernel method
- Uniform difference method for a parameterized singular perturbation problem
- Second-order linear parabolic equations with a small parameter
- Robust numerical method for singularly perturbed semilinear parabolic differential difference equations
- Pointwise error estimates for a singularly perturbed time-dependent semilinear reaction-diffusion problem
- Difference Methods for Singular Perturbation Problems
- Analysis of Some Difference Approximations for a Singular Perturbation Problem Without Turning Points
- Second-order parameter-uniform finite difference scheme for singularly perturbed parabolic problem with a boundary turning point
- A robust numerical approach for singularly perturbed time delayed parabolic partial differential equations
- A parameter‐uniform scheme for the parabolic singularly perturbed problem with a delay in time