A computational method are solving boundary value problems for third-order singularly perturbed ordinary differential equations

DOI10.1016/S0096-3003(01)00044-3zbMath1025.65045MaRDI QIDQ1855701

S. Valarmathi, N. Ramanujam

Publication date: 28 January 2003

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

zbMATH Keywords

numerical examplesingular perturbationNewton's methodasymptotic expansionparallel computingboundary layertwo-point boundary value problemsquasi-linearizationthird-order ordinary differential equationexponentially fitted finite difference schemenon-self-adjoint BVP

Mathematics Subject Classification ID

Nonlinear boundary value problems for ordinary differential equations (34B15) Parallel numerical computation (65Y05) Numerical solution of boundary value problems involving ordinary differential equations (65L10) Linear boundary value problems for ordinary differential equations (34B05) Singular perturbations for ordinary differential equations (34E15) Finite difference and finite volume methods for ordinary differential equations (65L12)

Related Items (21)

An asymptotic numerical method for singularly perturbed third-order ordinary differential equations with a weak interior layer ⋮ A rational spectral collocation method for third-order singularly perturbed problems ⋮ Existence and numerical method for nonlinear third-order boundary value problem in the reproducing kernel space ⋮ A brief survey on numerical methods for solving singularly perturbed problems ⋮ An asymptotic numerical method for singularly perturbed third-order ordinary differential equations of convection-diffusion type. ⋮ A novel fixed point iteration method for the solution of third order boundary value problems ⋮ Uniformly convergent difference schemes for a singularly perturbed third order boundary value problem ⋮ Approximation of derivative in a system of singularly perturbed convection-diffusion equations ⋮ Spectral methods for some singularly perturbed third order ordinary differential equations ⋮ A robust numerical approach for singularly perturbed third order boundary value problem on layer adapted meshes ⋮ A computational method for solving third-order singularly perturbed boundary-value problems ⋮ A recent survey on computational techniques for solving singularly perturbed boundary value problems ⋮ A boundary value technique for boundary value problems for singularly perturbed fourth-order ordinary differential equations ⋮ The existence and asymptotic estimates of solutions for a third-order nonlinear singularly perturbed boundary value problem ⋮ An asymptotic finite element method for singularly perturbed third and fourth order ordinary differential equations with discontinuous source term ⋮ Fitted Finite Difference Method for Third Order Singularly Perturbed Delay Differential Equations of Convection Diffusion Type ⋮ Approximation of derivative in a system of singularly perturbed convection-diffusion equations ⋮ An asymptotic numerical fitted mesh method for singularly perturbed third order ordinary differential equations of reaction-diffusion type ⋮ Asymptotic numerical methods for singularly perturbed fourth order ordinary differential equations of convection-diffusion type ⋮ Computational methods for solving two-parameter singularly perturbed boundary value problems for second-order ordinary differential equations ⋮ Unnamed Item

Cites Work

• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Numerical treatment of singularly perturbed two point boundary value problems
• Approximate method for the numerical solution of singular perturbation problems
• Numerical solution of singular perturbation problems via deviating arguments
• Die gleichmäßige Stabilität singulär gestörter diskreter und kontinuierlicher Randwertprobleme
• Uniform and optimal schemes for stiff initial-value problems
• Further examples of the boundary value technique in singular perturbation problems
• Singular perturbation problems for systems of partial differential equations of elliptic type
• A boundary value technique for singular perturbation problems
• Singular perturbation methods for ordinary differential equations
• Difference approximations for singular perturbations of systems of ordinary differential equations
• A computational method for solving singularly perturbed turning point problems exhibiting twin boundary layers
• A numerical method for singular perturbation problems arising in chemical reactor theory
• Singularly perturbed higher order boundary value problems
• A computational method for solving singular perturbation problems
• Singular perturbations of boundary value problems for a class of third order nonlinear ordinary differential equations
• The Asymptotic Solution of a Class of Third-Order Boundary Value Problems Arising in the Theory of Thin Film Flows
• Graded-Mesh Difference Schemes for Singularly Perturbed Two-Point Boundary Value Problems
• Differential Inequalities of Higher Order and the Asymptotic Solution of Nonlinear Boundary Value Problems
• Asymptotic Characterization of Solutions of a Boundary Value Problem Arising in Fluid Mechanics
• Locking in finite-element approximations to long thin extensible beams
• Finite-element methods for singularly perturbed high-order elliptic two-point boundary value problems. I: reaction-diffusion-type problems
• Finite-element methods for singularly perturbed high-order elliptic two-point boundary value problems. II: convection-diffusion-type problems

This page was built for publication: A computational method are solving boundary value problems for third-order singularly perturbed ordinary differential equations