Continuous and numerical analysis of a boundary shock problem

DOI10.1017/S000497270001786XzbMath0678.65062OpenAlexW2119742203MaRDI QIDQ3834966

Relja Vulanović

Publication date: 1989

Published in: Bulletin of the Australian Mathematical Society (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1017/s000497270001786x

zbMATH Keywords

numerical exampleuniform convergencefinite-difference methodpointwise convergenceshock layerboundary shock problemquasilinear singularly perturbed boundary value problem

Mathematics Subject Classification ID

Nonlinear boundary value problems for ordinary differential equations (34B15) Numerical solution of boundary value problems involving ordinary differential equations (65L10) Singular perturbations for ordinary differential equations (34E15) Mesh generation, refinement, and adaptive methods for ordinary differential equations (65L50)

Related Items (5)

Parameter-uniform numerical methods for some linear and nonlinear singularly perturbed convection diffusion boundary turning point problems ⋮ A numerical method for stationary shock problems with monotonic solutions ⋮ Numerical solution of quasilinear attractive turning point problems ⋮ Uniformly convergent finite difference methods for singularly perturbed problems with turning points ⋮ A higher-order method for stationary shock problems

Cites Work

• On the extrapolation for a singularly perturbed boundary value problem
• On a difference scheme of exponential type for a nonlinear singular perturbation problem
• Nonlinear singular perturbation phenomena: theory and applications
• Analysis of Difference Schemes for a Stationary Shock Problem
• Monotone Difference Schemes for Singular Perturbation Problems

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