Numerical treatment of singularly perturbed two point boundary value problems exhibiting boundary layers

DOI10.1016/j.cnsns.2011.01.001zbMath1222.65068OpenAlexW1993829678MaRDI QIDQ635087

Basem S. Attili

Publication date: 19 August 2011

Published in: Communications in Nonlinear Science and Numerical Simulation (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/j.cnsns.2011.01.001

zbMATH Keywords

singular perturbationnumerical examplesPadé approximationnonlinearboundary layerstwo point boundary value problemsboundary value method

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) Numerical solution of singularly perturbed problems involving ordinary differential equations (65L11)

Related Items

Absolutely stable difference scheme for a general class of singular perturbation problems ⋮ A higher order accurate numerical method for singularly perturbed two point boundary value problems ⋮ A domain decomposition method of Schwarz waveform relaxation type for singularly perturbed nonlinear parabolic problems ⋮ Nonautonomous Hamiltonian quantum systems, operator equations, and representations of the Bender-Dunne Weyl-ordered basis under time-dependent canonical transformations ⋮ An efficient method for solving non-linear singularly perturbed two points boundary-value problems of fractional order ⋮ On the Hopf (double Hopf) bifurcations and transitions of two-layer western boundary currents ⋮ On the stability and dynamic transitions of the nanofluid layer heated from below ⋮ A novel operational matrix method for solving singularly perturbed boundary value problems of fractional multi-order ⋮ A Numerical Approach for Solving Nonlinear Singularly Perturbed Boundary Value Problem Arising in Control Theory ⋮ Unnamed Item ⋮ Higher order accurate approximations on equidistributed meshes for boundary layer originated mixed type reaction diffusion systems with multiple scale nature ⋮ An efficient approach for solving stiff nonlinear boundary value problems ⋮ A Second-Order Difference Scheme for a Singularly Perturbed Reaction-Diffusion Problem ⋮ A hybrid method for singularly perturbed convection-diffusion equation

Cites Work

• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Parameter-uniformly convergent exponential spline difference scheme for singularly perturbed semilinear reaction-diffusion problems
• Asymptotic analysis and domain decomposition for a singularly perturbed reaction--convection--diffusion system with shock--interior layer interactions
• Numerical treatment for singularly perturbed nonlinear differential difference equations with negative shift
• Parameter uniform numerical method for singularly perturbed turning point problems exhibiting boundary layers.
• Bifurcation set and distribution of limit cycles for a class of cubic Hamiltonian system with higher-order perturbed terms
• Canard solutions of two-dimensional singularly perturbed systems
• A numerical algorithm for some singularly perturbed boundary value problems
• A Priori Estimates and Analysis of a Numerical Method for a Turning Point Problem
• Robust Numerical Methods for Singularly Perturbed Differential Equations
• A boundary value method for a class of nonlinear singular perturbation problems
• Initial value methods for the primary two point boundary value problems in modeling viscoelastic flows

This page was built for publication: Numerical treatment of singularly perturbed two point boundary value problems exhibiting boundary layers