Higher order global solution and normalized flux for singularly perturbed reaction-diffusion problems
DOI10.1016/J.AMC.2010.03.036zbMath1211.65098OpenAlexW2080705574MaRDI QIDQ979301
Rajesh K. Bawa, Carmelo Clavero
Publication date: 25 June 2010
Published in: Applied Mathematics and Computation (Search for Journal in Brave)
Full work available at URL: https://doi.org/10.1016/j.amc.2010.03.036
convergencenumerical examplesfinite difference schemeShishkin meshreaction-diffusion equationnormalized fluxsingularly perturbationpiecewise cubic interpolants
Nonlinear boundary value problems for ordinary differential equations (34B15) Stability and convergence of numerical methods for ordinary differential equations (65L20) Numerical solution of boundary value problems involving ordinary differential equations (65L10) Singular perturbations for ordinary differential equations (34E15) Finite difference and finite volume methods for ordinary differential equations (65L12) Mesh generation, refinement, and adaptive methods for ordinary differential equations (65L50) Numerical solution of singularly perturbed problems involving ordinary differential equations (65L11)
Related Items (3)
Cites Work
- Global convergence method for singularly perturbed boundary value problems
- A practical guide to splines
- A uniformly accurate spline collocation method for a normalized flux.
- Spline techniques for the numerical solution of singular perturbation problems
- Robust Numerical Methods for Singularly Perturbed Differential Equations
- A robust second-order numerical method for global solution and global normalized flux of singularly perturbed self-adjoint boundary-value problems
- On modelling of semilinear singularly perturbed reaction-diffusion problem
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