High Order Two Point Boundary Value Problems
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High Order Two Point Boundary Value Problems
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Author : Samaher M. Yasein
language : en
Publisher: LAP Lambert Academic Publishing
Release Date : 2014-02
High Order Two Point Boundary Value Problems written by Samaher M. Yasein and has been published by LAP Lambert Academic Publishing this book supported file pdf, txt, epub, kindle and other format this book has been release on 2014-02 with categories.
The aim of this book is to present method for solving higher order non - linear two point boundary value problems for ordinary differential equations of the different kinds of the boundary conditions, we propose semi-analytic technique using repeated interpolation to construct polynomial solution. Also, we discussion the existence and uniqueness of solutions. Many examples are presented to demonstrate the applicability, accuracy and efficiency of the methods on one hand and to confirm the convergence on the other hand.
Boundary Value Problems From Higher Order Differential Equations
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Author : Ravi P Agarwal
language : en
Publisher: World Scientific
Release Date : 1986-07-01
Boundary Value Problems From Higher Order Differential Equations written by Ravi P Agarwal and has been published by World Scientific this book supported file pdf, txt, epub, kindle and other format this book has been release on 1986-07-01 with Mathematics categories.
Contents: Some ExamplesLinear ProblemsGreen's FunctionMethod of Complementary FunctionsMethod of AdjointsMethod of ChasingSecond Order EquationsError Estimates in Polynomial InterpolationExistence and UniquenessPicard's and Approximate Picard's MethodQuasilinearization and Approximate QuasilinearizationBest Possible Results: Weight Function TechniqueBest Possible Results: Shooting MethodsMonotone Convergence and Further ExistenceUniqueness Implies ExistenceCompactness Condition and Generalized SolutionsUniqueness Implies UniquenessBoundary Value FunctionsTopological MethodsBest Possible Results: Control Theory MethodsMatching MethodsMaximal SolutionsMaximum PrincipleInfinite Interval ProblemsEquations with Deviating Arguments Readership: Graduate students, numerical analysts as well as researchers who are studying open problems. Keywords:Boundary Value Problems;Ordinary Differential Equations;Green's Function;Quasilinearization;Shooting Methods;Maximal Solutions;Infinite Interval Problems
A High Order Projection Method For Nonlinear Two Point Boundary Value Problems
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Author : Thomas Ramsey Lucas
language : en
Publisher:
Release Date : 1972
A High Order Projection Method For Nonlinear Two Point Boundary Value Problems written by Thomas Ramsey Lucas and has been published by this book supported file pdf, txt, epub, kindle and other format this book has been release on 1972 with Nonlinear boundary value problems categories.
Numerical Solutions Of Boundary Value Problems For Ordinary Differential Equations
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Author : A.K. Aziz
language : en
Publisher: Academic Press
Release Date : 2014-05-10
Numerical Solutions Of Boundary Value Problems For Ordinary Differential Equations written by A.K. Aziz and has been published by Academic Press this book supported file pdf, txt, epub, kindle and other format this book has been release on 2014-05-10 with Mathematics categories.
Numerical Solutions of Boundary Value Problems for Ordinary Differential Equations covers the proceedings of the 1974 Symposium by the same title, held at the University of Maryland, Baltimore Country Campus. This symposium aims to bring together a number of numerical analysis involved in research in both theoretical and practical aspects of this field. This text is organized into three parts encompassing 15 chapters. Part I reviews the initial and boundary value problems. Part II explores a large number of important results of both theoretical and practical nature of the field, including discussions of the smooth and local interpolant with small K-th derivative, the occurrence and solution of boundary value reaction systems, the posteriori error estimates, and boundary problem solvers for first order systems based on deferred corrections. Part III highlights the practical applications of the boundary value problems, specifically a high-order finite-difference method for the solution of two-point boundary-value problems on a uniform mesh. This book will prove useful to mathematicians, engineers, and physicists.
Higher Order Boundary Value Problems On Unbounded Domains Types Of Solutions Functional Problems And Applications
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Author : Minhos Feliz Manuel
language : en
Publisher: World Scientific
Release Date : 2017-08-23
Higher Order Boundary Value Problems On Unbounded Domains Types Of Solutions Functional Problems And Applications written by Minhos Feliz Manuel and has been published by World Scientific this book supported file pdf, txt, epub, kindle and other format this book has been release on 2017-08-23 with Mathematics categories.
This volume provides a comprehensive overview on different types of higher order boundary value problems defined on the half-line or on the real line (Sturm–Liouville and Lidstone types, impulsive, functional and problems defined by Hammerstein integral equations). It also includes classical and new methods and techniques to deal with the lack of compactness of the related operators. The reader will find a selection of original and recent results in this field, conditions to obtain solutions with particular qualitative properties, such as homoclinic and heteroclinic solutions and its relation with the solutions of Lidstone problems on all the real line. Each chapter contains applications to real phenomena, to classical equations or problems, with a common denominator: they are defined on unbounded intervals and the existing results in the literature are scarce or proven only numerically in discrete cases. The last part features some higher order functional problems, which generalize the classical two-point or multi-point boundary conditions, to more comprehensive data where an overall behavior of the unknown functions and their derivatives is involved. Contents: Boundary Value Problems on the Half-Line: Third-Order Boundary Value ProblemsGeneral nth-Order ProblemsImpulsive Problems on the Half-Line with Infinite Impulse MomentsHomoclinic Solutions and Lidstone Problems: Homoclinic Solutions for Second-Order ProblemsHomoclinic Solutions to Fourth-Order ProblemsLidstone Boundary Value ProblemsHeteroclinic Solutions and Hammerstein Equations: Heteroclinic Solutions for Semi-Linear Problems (i)Heteroclinic Solutions for Semi-Linear Problems (ii)Heteroclinic Solutions for Semi-Linear Problems (iii)Hammerstein Integral Equations with Sign-Changing KernelsFunctional Boundary Value Problems: Second-Order Functional ProblemsThird-Order Functional Problemsϕ-Laplacian Equations with Functional Boundary Conditions Readership: Graduate students and researchers interested in nonlinear analysis. Keywords: Boundary Value Problems in Unbounded Domains;Impulsive Problems with Infinite Impulses;Homoclinic Solutions;Lidstone Problems on the Real Line;Heteroclinic Solutions for Hammerstein Equations;Functional ProblemsReview: Key Features: Presents higher order boundary value and impulsive problems on unbounded domainsElucidates homoclinic and heteroclinic solutions without growth, sign or periodicity assumptions on the nonlinearity, and their relation with Lidstone problems and Hammerstein equations on the real lineExplains clearly the semi-linear and higher order functional problems where the boundary conditions can include nonlocal data and global variation on the unknown functions, such as multi-point, integral, maximum and/or minimum arguments
Numerical Solution Of Two Point Boundary Value Problems
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Author : Herbert B. Keller
language : en
Publisher: SIAM
Release Date : 1976-01-01
Numerical Solution Of Two Point Boundary Value Problems written by Herbert B. Keller and has been published by SIAM this book supported file pdf, txt, epub, kindle and other format this book has been release on 1976-01-01 with Mathematics categories.
Lectures on a unified theory of and practical procedures for the numerical solution of very general classes of linear and nonlinear two point boundary-value problems.
A Two Point Boundary Value Problem For Higher Order Functional Differentail Equation
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Author : Ana Maria Tameru
language : en
Publisher:
Release Date : 2002
A Two Point Boundary Value Problem For Higher Order Functional Differentail Equation written by Ana Maria Tameru and has been published by this book supported file pdf, txt, epub, kindle and other format this book has been release on 2002 with Boundary value problems categories.
Numerical Methods For Two Point Boundary Value Problems
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Author : Herbert Bishop Keller
language : en
Publisher:
Release Date : 1968
Numerical Methods For Two Point Boundary Value Problems written by Herbert Bishop Keller and has been published by this book supported file pdf, txt, epub, kindle and other format this book has been release on 1968 with Boundary value problems categories.
Numerical Methods And Matrix Splittings For Higher Order Two Point Boundary Value Problems
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Author : Suchitra Gupta
language : en
Publisher:
Release Date : 1985
Numerical Methods And Matrix Splittings For Higher Order Two Point Boundary Value Problems written by Suchitra Gupta and has been published by this book supported file pdf, txt, epub, kindle and other format this book has been release on 1985 with Boundary value problems categories.
Multi Point Boundary Value Problems
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Author : Mariam M. Hilal
language : en
Publisher: LAP Lambert Academic Publishing
Release Date : 2012
Multi Point Boundary Value Problems written by Mariam M. Hilal and has been published by LAP Lambert Academic Publishing this book supported file pdf, txt, epub, kindle and other format this book has been release on 2012 with categories.
This book proposes a semi-analytic technique to solve high-order non-linear multipoint boundary value problem for ordinary differential equation with non-local boundary conditions. The algorithm based on the two-point osculatory interpolation, essentially this is a generalization of interpolation using Taylor polynomials. The idea is to approximate a function y by a polynomial P in which values of y and any number of its derivatives at given points are fitted by the corresponding function values and derivatives of P. Illustrative examples are provided to demonstrate the efficiency, accuracy and simplicity of the proposed method in solving this type of boundary value problems, where the suggested solution is compared with the exact solution and the solution of iterative method, shooting method, uniform Haar wavelets and homotopy perturbation method (HPM). Also, we introduce some general observations about control of a residual and we proposed a new formula developed to estimate the error help reduce the accounts process and show the results are improved. The other aim of this book is to develop the existing MATLAB BVP ODE solver bvp4c and bvp6c into accurate solver.