A fitted mesh cubic spline in tension method for singularly perturbed problems with two parameters
DOI10.1155/2022/5410754zbMath1486.65120OpenAlexW4226051535MaRDI QIDQ2119865
Gemechis File Duressa, Tariku Birabasa Mekonnen
Publication date: 30 March 2022
Published in: International Journal of Mathematics and Mathematical Sciences (Search for Journal in Brave)
Full work available at URL: https://doi.org/10.1155/2022/5410754
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) Error bounds for initial value and initial-boundary value problems involving PDEs (65M15) Mesh generation, refinement, and adaptive methods for the numerical solution of initial value and initial-boundary value problems involving PDEs (65M50)
Related Items (1)
Cites Work
- Unnamed Item
- Unnamed Item
- A singularly perturbed problem with two parameters on a Bakhvalov-type mesh
- Collocation method using artificial viscosity for solving stiff singularly perturbed turning point problem having twin boundary layers
- A uniformly convergent quadratic B-spline collocation method for singularly perturbed parabolic partial differential equations with two small parameters
- Uniformly convergent difference schemes for singularly perturbed parabolic diffusion-convection problems without turning points
- An efficient robust numerical method for singularly perturbed Burgers' equation
- A numerical method for solving boundary and interior layers dominated parabolic problems with discontinuous convection coefficient and source terms
- Numerical approximations to a singularly perturbed convection-diffusion problem with a discontinuous initial condition
- PARAMETER-UNIFORM FINITE ELEMENT METHOD FOR TWO-PARAMETER SINGULARLY PERTURBED PARABOLIC REACTION-DIFFUSION PROBLEMS
- Analysis of Some Difference Approximations for a Singular Perturbation Problem Without Turning Points
- A variable-mesh approximation method for singularly perturbed boundary-value problems using cubic spline in tension
- Numerical Solution of Partial Differential Equations
- Robust Finite Difference Method for Singularly Perturbed Two-Parameter Parabolic Convection-Diffusion Problems
- A parameter-uniform higher order finite difference scheme for singularly perturbed time-dependent parabolic problem with two small parameters
- A parameter-uniform method for singularly perturbed turning point problems exhibiting interior or twin boundary layers
- Computational method for singularly perturbed two-parameter parabolic convection-diffusion problems
- Computational results and analysis for a class of linear and nonlinear singularly perturbed convection delay problems on Shishkin mesh
- A robust fitted numerical method for singularly perturbed turning point problems whose solution exhibits an interior layer
- A robust layer adapted difference method for singularly perturbed two-parameter parabolic problems
- Parameter-uniform finite difference schemes for singularly perturbed parabolic diffusion-convection-reaction problems
This page was built for publication: A fitted mesh cubic spline in tension method for singularly perturbed problems with two parameters
