An exponentially fitted method for singularly perturbed ordinary differential equations with turning points and parabolic problems

DOI10.1016/j.amc.2004.04.030zbMath1070.65089OpenAlexW2154559609MaRDI QIDQ1780515

Juan I. Ramos

Publication date: 13 June 2005

Published in: Applied Mathematics and Computation (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/j.amc.2004.04.030

zbMATH Keywords

convergencecomparison of methodssingular perturbationnumerical examplesfinite difference schemesemidiscretizationturning pointsparabolic equationsadvection-reaction-diffusion equationsexponential fitting

Mathematics Subject Classification ID

Singular perturbations in context of PDEs (35B25) Stability and convergence of numerical methods for initial value and initial-boundary value problems involving PDEs (65M12) Stability and convergence of numerical methods for ordinary differential equations (65L20) Numerical solution of boundary value problems involving ordinary differential equations (65L10) Initial value problems for second-order parabolic equations (35K15) Method of lines for initial value and initial-boundary value problems involving PDEs (65M20) Linear boundary value problems for ordinary differential equations (34B05) Singular perturbations for ordinary differential equations (34E15)

Related Items (6)

Exponential methods for singularly perturbed ordinary differential-difference equations ⋮ A brief survey on numerical methods for solving singularly perturbed problems ⋮ A review on singularly perturbed differential equations with turning points and interior layers ⋮ An exponentially fitted method for solving Burgers' equation ⋮ Exponentially-fitted methods on layer-adapted meshes ⋮ Equivalence of \(C^0\) and \(C^1\) methods for ODE's

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