8 edition of Singularly perturbed boundary-value problems found in the catalog.
Includes bibliographical references (p. -230) and index.
|Statement||Luminița Barbu and Gheorghe Moroșanu.|
|Series||International series of numerical mathematics -- v. 156|
|LC Classifications||QA379 .B368 2007|
|The Physical Object|
|Pagination||xiii, 230,  p. :|
|Number of Pages||230|
|ISBN 10||3764383313, 3764383305|
|ISBN 10||9783764383305, 9783764383312|
This paper deals with a numerical method with fitted operator difference method for twin (dual) boundary layers singularly perturbed boundary value problems. In this method, Numerov method is extended to the given second order problem having derivative of first : S. Rakmaiah, K. Phaneendra. Many problems in science and technology can be modeled by boundary value problems for singularly perturbed differential equations. Singularly perturbed problems arise for example in the modeling of fluid flow at high Reynolds numbers, water quality problems in river networks, convective heat transport problems with large Peclet numbers, drift diffusion equations of semiconductor device Cited by: 5.
Singularly perturbed boundary value problems arise in many physical phenomena like uid dynamics, aerodynamic ows, magneto-hydrodynamic ows, di usion reactions etc. These problems often have solutions with at least one \boundary layer". A \boundary layer" generally refers to the edge of a physical region where a rapid transition in the structure. In this paper, we study the numerical solution of singular singularly perturbed third-order boundary value problems (BVPs) by using Quartic B-spline method. An efficient algorithm is presented here to solve the approximate solution of the given problem. To understand our method, we introduce the Quartic B-spline basis function in the form of at the different knots.
In this paper, we consider few numerical methods for singularly perturbed boundary value problems developed by numerous researchers between to A Summary of the result of some recent methods is presented and this leads to conclusion and recommendations regarding methods to use on singular perturbation problem. 37) A class of initial boundary value problems for the singularly perturbed semilinear elliptic equations with nonlocal boundary conditions are considered. 38) In that way, Blair remains a historic center-left statesman, singularly representative of contemporary liberal interventionism, its .
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In this chapter we present some singularly perturbed, hyperbolic, initial-boundary value problems which will be investigated in detail in the next chapters of Part II. Singularly Perturbed Coupled Boundary Value Problems.
Front Matter. Pages Get this from a library. Singularly perturbed boundary-value problems. [Luminița Barbu; Gheorghe Moroșanu] -- This book offers a detailed asymptotic analysis of some important classes of singularly perturbed boundary value problems which are mathematical models for various phenomena in.
Singularly Perturbed Boundary-Value Problems. Authors: Barbu, Luminita, Morosanu, Gheorghe *immediately available upon purchase as print book shipments may be delayed due to the COVID crisis.
ebook access is temporary and does not include ownership of the ebook. Only valid for books with an ebook version. Singularly Perturbed Boundary-Value Problems Luminiţa Barbu, Gheorghe Moroşanu (auth.) This book offers a detailed asymptotic analysis of some important classes of singularly perturbed boundary value problems which are mathematical models for various phenomena in biology, chemistry, and engineering.
"The book offers a detailed asymptotic analysis of some- important classes of singularly perturbed boundary value problems which are mathematical models for various phenomena in biology chemistry, and engineering." "The book covers mostly original results by the authors.
It is designed for researchers and graduate students."--Jacket. Buy Singularly Perturbed Boundary-Value Problems (International Series of Numerical Mathematics) on FREE SHIPPING on qualified orders Singularly Perturbed Boundary-Value Problems (International Series of Numerical Mathematics): Luminita Barbu, Gheorghe Morosanu: : BooksCited by: 1.
: Asymptotic Theory of Elliptic Boundary Value Problems in Singularly Perturbed Domains: Volume I (Operator Theory: Advances and Applications) (): Maz'ya, Vladimir, Nazarov, Serguei, Plamenevskij, Boris: Books. O’Malley R.E. () Singularly Perturbed Boundary Value Problems.
In: Singular Perturbation Methods for Ordinary Differential Equations. Applied Mathematical Sciences, vol Author: Robert E. O’Malley. T1 - SINGULARLY PERTURBED BOUNDARY VALUE PROBLEM MODELLING A SEMICONDUCTOR DEVICE. AU - Markowich, Peter A.
AU - Ringhofer, C. PY - /1/1. Y1 - /1/1. N2 - The authors consider the static, one-dimensional modelling of a semiconductor device (namely the pn-junction) when a bias is by: For the first time in the mathematical literature this two-volume work introduces a unified and general approach to the asymptotic analysis of elliptic boundary value problems in singularly perturbed domains.
While the first volume is devoted to perturbations of the boundary near isolated singular. This paper continues the authors’ study of boundary-value problems for singularly perturbed linear second-order differential-difference equations with small shifts.
This study was initiated in the companion paper [SIAM J. Appl. Math., 54 (), pp. –].Cited by: () Singularly perturbed boundary value problems for semi-linear retarded differential equations with nonlinear boundary conditions.
Applied Mathematics and Mechanics() Singularly perturbed nonlinear boundary value problem for a kind of Volterra type functional differential by: Keywords: Singular perturbation problems, Two-point boundary-value problems, Boundary layer, Initial-value methods.
1 Introduction Singularly perturbed boundary value problems (SPBVPs) are common in applied sciences and engineering. They often occur in, for example, ﬂuid dynamics, quantum mechanics, chemical reactions, electrical networks, etc.
Request PDF | Asymptotic Theory of Elliptic Boundary Value Problems in Singularly Perturbed Domains | The purpose of the present chapter is twofold. On the one hand, we formulate and prove. Asymptotic Theory of Elliptic Boundary Value Problems in Singularly Perturbed Domains: Volume I Vladimir Maz’ya, Serguei Nazarov, Boris A.
Plamenevskij (auth.) For the first time in the mathematical literature this two-volume work introduces a unified and general approach to the asymptotic analysis of elliptic boundary value problems in. Loghamani G.B., Ahmadinia cal solution of singularly perturbed boundary value problems based on optimal control strategy Acta Appl.
Math., (), pp. Google ScholarCited by: 5. Singular perturbation theory is a rich and ongoing area of exploration for mathematicians, physicists, and other researchers. The methods used to tackle problems in this field are many. The more basic of these include the method of matched asymptotic expansions and WKB approximation for spatial problems, and in time, the Poincaré–Lindstedt.
singularly perturbed boundary value problems, International Journal of Computer Mathematics, Vol. 89, pp.] for fourth-order singularly perturbed boundary value problem with a boundary layer at the left of the underlying interval.
Using this technique, a Cited by: 2. of second order singularly perturbed boundary value problem with numerical experiments have been discussed in . A new approach has been deﬁned to solve second order singularly perturbed boundary value problem in which the innerandouterregionof theproblemisconsideredastwo pointboundarylayer correction and initial value problem respectively.
Singularly Perturbed Linear Boundary Value Problems* M. KATHIRKAMANAYAGAN Department of Mathematics and Statistics, University of Jaffna, Jqffna, Srilanka AND G. S. LADDE Department of Mathematics, The University of Texas at Arlington, Arlington, Texas Submitted by V.
Lukshmikanthom Received J Manoj Kumar, Hradyesh Kumar Mishra, Peetam Singh, A boundary value approach for a class of linear singularly perturbed boundary value problems, Advances in Engineering Software ; Fazhan Geng, A novel method for solving a class of singularly perturbed boundary value problems based on reproducing kernel by: 8.Abstract.
This dissertation concerns the study of certain singularly perturbed boundary value problems. In the first part of this dissertation (Chapters 2 and 3), a singularly perturbed nonlinear system of differential equations are considered over a compact interval, subject to general boundary conditions that allow the coupling of the boundary values at the different endpoints.