On the optimally convergent splines difference scheme for one-dimensional reaction-diffusion problem
DOI10.1016/0307-904X(94)90308-5zbMath0808.65082OpenAlexW2046261590MaRDI QIDQ1337237
Publication date: 22 March 1995
Published in: Applied Mathematical Modelling (Search for Journal in Brave)
Full work available at URL: https://doi.org/10.1016/0307-904x(94)90308-5
numerical experimentsdifference schemeexponential splinessecond-order optimal convergenceselfadjoint perturbation problems
Numerical solution of boundary value problems involving ordinary differential equations (65L10) Linear boundary value problems for ordinary differential equations (34B05) Singular perturbations for ordinary differential equations (34E15) Finite difference and finite volume methods for ordinary differential equations (65L12)
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Cites Work
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- Singularly perturbed finite element methods
- Uniform and optimal schemes for stiff initial-value problems
- A uniformly accurate spline collocation method for a singular perturbation problem
- A difference method for non-self-adjoint singular perturbation problem of second order
- A Uniformly Accurate Finite-Element Method for a Singularly Perturbed One-Dimensional Reaction-Diffusion Problem
- Sufficient Conditions for Uniform Convergence of a Class of Difference Schemes for a Singularly Perturbed Problem
- Sufficient Conditions for the Uniform Convergence of a Difference Scheme for a Singularly Perturbed Turning Point Problem
- An Analysis of a Uniformly Accurate Difference Method for a Singular Perturbation Problem
- Numerical aspects of singular perturbation problems
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