Boundary Value Problems for Second-Order Finite Difference Equations and Systems - read free eBook in online reader or directly download on the web page. Select files or add your book in reader. Download and read online ebook Boundary Value Problems for Second-Order Finite Difference Equations and Systems write by Johnny Henderson. This book was released on 2023-01-30. Boundary Value Problems for Second-Order Finite Difference Equations and Systems available in PDF, EPUB and Kindle. This is an indispensable reference for those mathematicians that conduct research activity in applications of fixed-point theory to boundary value problems for nonlinear difference equations. Coverage includes second-order finite difference equations and systems of second-order finite difference equations subject to diverse multi-point boundary conditions, and various methods to study the existence of positive solutions for these problems.
Numerical Solutions of Boundary Value Problems for Ordinary Differential Equations
Numerical Solutions of Boundary Value Problems for Ordinary Differential Equations - read free eBook in online reader or directly download on the web page. Select files or add your book in reader. Download and read online ebook Numerical Solutions of Boundary Value Problems for Ordinary Differential Equations write by A.K. Aziz. This book was released on 2014-05-10. Numerical Solutions of Boundary Value Problems for Ordinary Differential Equations available in PDF, EPUB and Kindle. 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.
Compact Finite Difference Schemes for Mixed Initial-boundary Value Problems
Compact Finite Difference Schemes for Mixed Initial-boundary Value Problems - read free eBook in online reader or directly download on the web page. Select files or add your book in reader. Download and read online ebook Compact Finite Difference Schemes for Mixed Initial-boundary Value Problems write by Richard B. Philips. This book was released on 1981. Compact Finite Difference Schemes for Mixed Initial-boundary Value Problems available in PDF, EPUB and Kindle. "This paper discusses a class of compact second order accurate finite difference equations for mixed initial-boundary value problems for hyperbolic and convective-diffusion equations. Convergence is proved by means of an energy argument and both types of equations are solved by similar algorithms. For hyperbolic equations an extension of the Lax-Wendroff method is described which incorporates dissipative boundary conditions. Upwind-downwind differencing techniques arise as the formal hyperbolic limit of the convective-diffusion equation. Finally, a finite difference 'chain-rule' transforms the schemes from rectangular to quadrilateral subdomains" -- abstract.
Finite Difference Methods for Ordinary and Partial Differential Equations
Finite Difference Methods for Ordinary and Partial Differential Equations - read free eBook in online reader or directly download on the web page. Select files or add your book in reader. Download and read online ebook Finite Difference Methods for Ordinary and Partial Differential Equations write by Randall J. LeVeque. This book was released on 2007-01-01. Finite Difference Methods for Ordinary and Partial Differential Equations available in PDF, EPUB and Kindle. This book introduces finite difference methods for both ordinary differential equations (ODEs) and partial differential equations (PDEs) and discusses the similarities and differences between algorithm design and stability analysis for different types of equations. A unified view of stability theory for ODEs and PDEs is presented, and the interplay between ODE and PDE analysis is stressed. The text emphasizes standard classical methods, but several newer approaches also are introduced and are described in the context of simple motivating examples.
Introduction To Numerical Computation, An (Second Edition)
Introduction To Numerical Computation, An (Second Edition) - read free eBook in online reader or directly download on the web page. Select files or add your book in reader. Download and read online ebook Introduction To Numerical Computation, An (Second Edition) write by Wen Shen. This book was released on 2019-08-28. Introduction To Numerical Computation, An (Second Edition) available in PDF, EPUB and Kindle. This book serves as a set of lecture notes for a senior undergraduate level course on the introduction to numerical computation, which was developed through 4 semesters of teaching the course over 10 years. The book requires minimum background knowledge from the students, including only a three-semester of calculus, and a bit on matrices.The book covers many of the introductory topics for a first course in numerical computation, which fits in the short time frame of a semester course. Topics range from polynomial approximations and interpolation, to numerical methods for ODEs and PDEs. Emphasis was made more on algorithm development, basic mathematical ideas behind the algorithms, and the implementation in Matlab.The book is supplemented by two sets of videos, available through the author's YouTube channel. Homework problem sets are provided for each chapter, and complete answer sets are available for instructors upon request.The second edition contains a set of selected advanced topics, written in a self-contained manner, suitable for self-learning or as additional material for an honored version of the course. Videos are also available for these added topics.
