On numerical solution of a mildly nonlinear turning point problem

DOI10.1051/m2an/1990240607651zbMath0716.65075OpenAlexW2583269982MaRDI QIDQ3203952

Relja Vulanović

Publication date: 1990

Published in: ESAIM: Mathematical Modelling and Numerical Analysis (Search for Journal in Brave)

Full work available at URL: https://eudml.org/doc/193615

zbMATH Keywords

stabilityconvergencenumerical resultsfinite difference schemegrid generationturning pointmildly nonlinear singularly perturbed boundary value problem

Mathematics Subject Classification ID

Nonlinear boundary value problems for ordinary differential equations (34B15) Bifurcation theory for ordinary differential equations (34C23) 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)

Related Items (7)

Trigonometric quinticB-spline collocation method for singularly perturbed turning point boundary value problems ⋮ A parameter-uniform method for singularly perturbed turning point problems exhibiting interior or twin boundary layers ⋮ A note on a mildly nonlinear turning point problem ⋮ A uniform numerical method for quasilinear singular perturbation problem with a turning point ⋮ A review on singularly perturbed differential equations with turning points and interior layers ⋮ Numerical solution of quasilinear attractive turning point problems ⋮ A computational method for solving singularly perturbed turning point problems exhibiting twin boundary layers

Cites Work

• A uniform numerical method for quasilinear singular perturbation problems without turning points
• Numerical Methods for Stiff Two-Point Boundary Value Problems
• A High-Order Method for Stiff Boundary Value Problems with Turning Points
• Analysis of Some Difference Approximations for a Singular Perturbation Problem Without Turning Points
• Nonlinear Singular Perturbation Problems and One Sided Difference Schemes
• Monotone Difference Schemes for Singular Perturbation Problems
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