Discrete spline solution of singularly perturbed problem with two small parameters on a Shishkin-type mesh
DOI10.1007/s10598-018-9416-3zbMath1397.65112OpenAlexW2805076274MaRDI QIDQ1787673
Marnix van Daele, Waheed K. Zahra
Publication date: 5 October 2018
Published in: Computational Mathematics and Modeling (Search for Journal in Brave)
Full work available at URL: https://doi.org/10.1007/s10598-018-9416-3
convergence analysissingular perturbation problemtwo small parametersdiscrete splineshishkin meshconvection-diffusion-reaction-problems
Stability and convergence of numerical methods for ordinary differential equations (65L20) Numerical solution of boundary value problems involving ordinary differential equations (65L10) Mesh generation, refinement, and adaptive methods for ordinary differential equations (65L50) Numerical solution of singularly perturbed problems involving ordinary differential equations (65L11)
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Cites Work
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- Approximation of singularly perturbed reaction-diffusion problems by quadratic \(C ^1\)-splines
- B-spline collocation method for two-parameter singularly perturbed convection-diffusion boundary value problems
- Exponential B-spline collocation method for self-adjoint singularly perturbed boundary value problems
- High order parameter-robust numerical method for singularly perturbed reaction-diffusion problems
- Layer-adapted meshes for reaction-convection-diffusion problems
- Discrete cubic spline introduction
- Uniform pointwise convergence for a singularly perturbed problem using arc-length equidistribution.
- Discrete spline methods for solving two point fractional Bagley-Torvik equation
- Local behaviour of the deficient discrete cubic spline interpolator
- An adaptive mesh strategy for singularly perturbed convection diffusion problems
- B-spline collocation method for nonlinear singularly-perturbed two-point boundary-value problems
- A Parameter-uniform Method for Two Parameters Singularly Perturbed Boundary Value Problems via Asymptotic Expansion
- Discrete cubic spline method for second-order boundary value problems
- Non-polynomial sextic spline solution of singularly perturbed boundary-value problems
- Discrete cubic spline interpolation
- The Sdfem for a Convection-diffusion Problem with Two Small Parameters
- Discrete Splines via Mathematical Programming
- Best Summation Formulae and Discrete Splines
- A uniformly convergent difference scheme on a modified Shishkin mesh for the singularly perturbed reaction-diffusion boundary value problem
