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Numerical-Analytic Methods in the Theory of Boundary-Value Problems Samoilenko A M

Numerical-Analytic Methods in the Theory of Boundary-Value Problems

Samoilenko A M

Published May 10th 2014
ISBN : 9781299610231
ebook
467 pages
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 About the Book 

This book contains the main results of the authors investigations on the development and application of numerical-analytic methods for ordinary nonlinear boundary value problems (BVPs). The methods under consideration provide an opportunity to solveMoreThis book contains the main results of the authors investigations on the development and application of numerical-analytic methods for ordinary nonlinear boundary value problems (BVPs). The methods under consideration provide an opportunity to solve the two important problems of the BVP theory namely, to establish existence theorems and to build approximation solutions. They can be used to investigate a wide variety of BVPs.The Appendix, written in collaboration with S I Trofimchuk, discusses the connection of the new method with the classical Cesari, Cesari Hale and Lyapunov Schmidt methods.Contents: Numerical-Analytic Method of Successive Approximations for Two-Point Boundary-Value ProblemsModification of the Numerical-Analytic Method for Two-Point Boundary-Value ProblemsNumerical-Analytic Method for Boundary-Value Problems with Parameters in Boundary ConditionsCollocation Method for Boundary-Value Problems with ImpulsesThe Theory of the Numerical-Analytic Method: Achievements and New Trends of DevelopmentReadership: Researchers on differential equations.