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

Applied Mathematics and Computation

Volumn 129, Issue 2-3, 2002, Pages 345-373

  Valarmathi, S ^a   Ramanujam, N ^a  

^a BHARATHIDASAN UNIVERSITY   (India)

Author keywords

Asymptotic approximation; Boundary layer; Exponentially fitted finite difference scheme; Non self adjoint boundary value problem; Singular perturbation; Third order differential equation

Indexed keywords

BOUNDARY CONDITIONS; BOUNDARY LAYERS; BOUNDARY VALUE PROBLEMS; FINITE DIFFERENCE METHOD; LINEAR EQUATIONS; LINEARIZATION; ORDINARY DIFFERENTIAL EQUATIONS; PERTURBATION TECHNIQUES;

SINGULAR PERTURBATION;

PROBLEM SOLVING;

EID: 0037054968     PISSN: 00963003     EISSN: None     Source Type: Journal    
DOI: 10.1016/S0096-3003(01)00044-3     Document Type: Article

References (32)

1. Difference approximations for singular perturbation of systems of ordinary differential equations
2. Sufficient conditions for uniform convergence of a class of difference schemes for singular perturbation problems
3. Differential inequalities of higher order and the asymptotic solution of the nonlinear boundary value problems
4. The asymptotic solution of a class of third-order boundary value problem arising in the theory of thin film flow
5. Further examples of the boundary value technique in singular perturbation problems
6. Singular perturbations of boundary value problems for a class of third order nonlinear ordinary differential equations
7. A computational method for solving singular perturbation problems
8. A numerical method for singular perturbation problems arising in chemical reactor theory
9. A computational method for solving singularly perturbed turning point problems exhibiting twin boundary layers
10. Singularly perturbed higher order boundary value problems
11. Numerical treatment of singularly perturbed two-point boundary value problems
12. Approximate methods for the numerical solution of singular perturbation problems
13. Perturbation problems via deviating arguments
14. Über das vorligen der Eigen schaft von monotoner Art bei fortschreitend bez nur als ganzes losbarem sustemen
15. Singular perturbation problems for systems of differential equations of parabolic type
16. The uniform stability of singularly perturbed discrete and continuous boundary value problems
17. Graded mesh difference schemes for singularly perturbed two-point boundary value problems
18. Finite element methods for singularly perturbed higher order elliptic twopoint boundary value problems II: Convection-diffusion type
19. Finite element methods for singularly perturbed higher order elliptic twopoint boundary value problems I: Reaction-diffusion type
20. Locking in finite element approximation of long thin extensible beams
21. A Uniformly convergent discretization method for a fourth order singular perturbation problem
22. Singular perturbation problems for systems of PDEs of elliptic type
23. A boundary value technic for singular perturbation problems