A parameter uniform scheme for delay parabolic singularly perturbed turning point problem
DOI10.1007/s12591-021-00577-5OpenAlexW3181723321WikidataQ115376380 ScholiaQ115376380MaRDI QIDQ6124266
Publication date: 27 March 2024
Published in: Differential Equations and Dynamical Systems (Search for Journal in Brave)
Full work available at URL: https://doi.org/10.1007/s12591-021-00577-5
Shishkin meshturning pointupwind schemetwin boundary layersdelay parabolic singular perturbed problem
Asymptotic behavior of solutions to PDEs (35B40) 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) Mesh generation, refinement, and adaptive methods for boundary value problems involving PDEs (65N50) Error bounds for initial value and initial-boundary value problems involving PDEs (65M15) Finite difference methods for boundary value problems involving PDEs (65N06) Solutions to PDEs in closed form (35C05) PDEs on time scales (35R07)
Cites Work
- Unnamed Item
- Numerical solution of singularly perturbed convection-diffusion-reaction problems with two small parameters
- Comparison of a priori and a posteriori meshes for singularly perturbed nonlinear parameterized problems
- Delay differential equations: with applications in population dynamics
- Asymptotic solution of a singularly perturbed set of functional-differential equations of Riccati type encountered in optimal control theory
- Parameter uniform numerical method for singularly perturbed turning point problems exhibiting boundary layers.
- Uniformly convergent hybrid numerical scheme for singularly perturbed delay parabolic convection-diffusion problems on shishkin mesh
- Theory and applications of partial functional differential equations
- Convergence analysis of weighted difference approximations on piecewise uniform grids to a class of singularly perturbed functional differential equations
- A moving mesh refinement based optimal accurate uniformly convergent computational method for a parabolic system of boundary layer originated reaction-diffusion problems with arbitrary small diffusion terms
- A parameter-uniform numerical scheme for the parabolic singularly perturbed initial boundary value problems with large time delay
- A parameter-robust finite difference method for singularly perturbed delay parabolic partial differential equations
- A numerical method for solving boundary and interior layers dominated parabolic problems with discontinuous convection coefficient and source terms
- An a posteriori based convergence analysis for a nonlinear singularly perturbed system of delay differential equations on an adaptive mesh
- Fitted Numerical Methods For Singular Perturbation Problems
- Robust Numerical Methods for Singularly Perturbed Differential Equations
- Second-order uniformly convergent numerical method for singularly perturbed delay parabolic partial differential equations
- ε-Uniformly convergent numerical scheme for singularly perturbed delay parabolic partial differential equations
- Robust numerical schemes for singularly perturbed delay parabolic convection-diffusion problems with degenerate coefficient
- A higher order difference method for singularly perturbed parabolic partial differential equations
- A parameter‐uniform scheme for singularly perturbed partial differential equations with a time lag
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