Journal ArticleDOI
Method of reduction of order for solving singularly perturbed two-point boundary value problems
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TLDR
A method of reduction of order is proposed for solving singularly perturbed two-point boundary value problems with a boundary layer at one end point and several linear and non-linear singular perturbation problems have been solved.About:
This article is published in Applied Mathematics and Computation.The article was published on 2003-03-01. It has received 34 citations till now. The article focuses on the topics: Boundary value problem & Method of matched asymptotic expansions.read more
Citations
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Journal ArticleDOI
Autonomous and non-autonomous attractors for differential equations with delays
TL;DR: In this article, the existence of global attractors is established for different situations: with and without uniqueness, and for both autonomous and non-autonomous cases, using the classical notion of attractor and the recently new concept of pullback one, respectively.
Journal ArticleDOI
On the Galerkin and collocation methods for two-point boundary value problems using sinc bases
A. Mohsen,Mohamed El-Gamel +1 more
TL;DR: This study shows that the collocation method performs better than the Galerkin method for the cases considered, and uses sinc basis functions for solving linear and nonlinear second-order two-point boundary value problems.
Journal ArticleDOI
A collection of computational techniques for solving singular boundary-value problems
Manoj Kumar,Neelima Singh +1 more
TL;DR: This paper contains summary of linear, non-linear second-order two-point singular boundary-value problems (BVPs), two- point singularly perturbed BVPs in ordinary differential equations and singularly elliptic B VPs in partial differential equations.
Journal ArticleDOI
Permanence, oscillation and attractivity of the discrete hematopoiesis model with variable coefficients
Elena Braverman,Samir H. Saker +1 more
TL;DR: In this article, the existence of a positive periodic solution is proven and sufficient conditions for the attractivity of this solution are obtained, and Oscillation and nonoscillation about the positive periodic solutions are considered.
Journal ArticleDOI
Dynamics of species in a model with two predators and one prey
Ta Viet Ton,Nguyen Trong Hieu +1 more
TL;DR: In this article, a predator-prey model with one prey and two predators with Beddington-DeAngelis functional responses was studied, and sufficient conditions for the permanence and extinction of species were established.
References
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Book
Perturbation Methods
Ali H. Nayfeh,Vimal Singh +1 more
TL;DR: This website becomes a very available place to look for countless perturbation methods sources and sources about the books from countries in the world are provided.
Book
Advanced mathematical methods for scientists and engineers
Carl M. Bender,Steven A. Orszag +1 more
TL;DR: A self-contained presentation of the methods of asymptotics and perturbation theory, methods useful for obtaining approximate analytical solutions to differential and difference equations is given in this paper.
Book
Perturbation Methods in Applied Mathematics
TL;DR: In this paper, limit process expansions applied to Ordinary Differential Equations (ODE) are applied to partial differential equations (PDE) in the context of Fluid Mechanics.
Journal ArticleDOI
Asymptotic and numerical analysis of singular perturbation problems: A survey
Mohan K. Kadalbajoo,Y. N. Reddy +1 more
TL;DR: A brief survey of the asymptotic and numerical analysis of singular perturbation problems is given in this paper, with an eye toward the goal of developing general methods to solve such problems.