Computational Methods For Solving System Of Volterra Integral Equation PDF Download

Are you looking for read ebook online? Search for your book and save it on your Kindle device, PC, phones or tablets. Download Computational Methods For Solving System Of Volterra Integral Equation PDF full book. Access full book title Computational Methods For Solving System Of Volterra Integral Equation.

Computational Methods for Solving System of Volterra Integral Equation

Computational Methods for Solving System of Volterra Integral Equation
Author: Rostam K. Saeed
Publisher: LAP Lambert Academic Publishing
Total Pages: 164
Release: 2011-04
Genre:
ISBN: 9783844330755
GET BOOK

Download Computational Methods for Solving System of Volterra Integral Equation Book in PDF, ePub and Kindle

In this work the existence and uniqueness theorem for single linear Volterra integral equation has been generalized to a system of linear Volterra integral equation of the second kind. Depending on Banach fixed point theorem, some new results have been proved.Also, a Taylor series expansion has been considered to solve a system of linear Volterra integral equations of the second kind and a system of linear Volterra integro-differential equations of the second kind.In addition, three different types of iterative methods have been formulated to solve above systems. Furthermore, we derive a new iterative method named by "modified successive approximation method" to solve above systems. By this modification a faster rate of convergence for the successive method is established. Also, we proved a new theorem about the existence, uniqueness and convergence of this method. Two different kinds of weighted residual methods have been applied to treat the above systems. Moreover, the spectral method has been modified and applied for solving the above systems.

Computational Methods for Linear Integral Equations

Computational Methods for Linear Integral Equations
Author: Prem Kythe
Publisher: Springer Science & Business Media
Total Pages: 525
Release: 2011-06-28
Genre: Mathematics
ISBN: 1461201012
GET BOOK

Download Computational Methods for Linear Integral Equations Book in PDF, ePub and Kindle

This book presents numerical methods and computational aspects for linear integral equations. Such equations occur in various areas of applied mathematics, physics, and engineering. The material covered in this book, though not exhaustive, offers useful techniques for solving a variety of problems. Historical information cover ing the nineteenth and twentieth centuries is available in fragments in Kantorovich and Krylov (1958), Anselone (1964), Mikhlin (1967), Lonseth (1977), Atkinson (1976), Baker (1978), Kondo (1991), and Brunner (1997). Integral equations are encountered in a variety of applications in many fields including continuum mechanics, potential theory, geophysics, electricity and mag netism, kinetic theory of gases, hereditary phenomena in physics and biology, renewal theory, quantum mechanics, radiation, optimization, optimal control sys tems, communication theory, mathematical economics, population genetics, queue ing theory, and medicine. Most of the boundary value problems involving differ ential equations can be converted into problems in integral equations, but there are certain problems which can be formulated only in terms of integral equations. A computational approach to the solution of integral equations is, therefore, an essential branch of scientific inquiry.

Computational Methods for Integral Equations

Computational Methods for Integral Equations
Author: L. M. Delves
Publisher: CUP Archive
Total Pages: 392
Release: 1985
Genre: Mathematics
ISBN: 9780521357968
GET BOOK

Download Computational Methods for Integral Equations Book in PDF, ePub and Kindle

This textbook provides a readable account of techniques for numerical solutions.

Analytical and Numerical Methods for Volterra Equations

Analytical and Numerical Methods for Volterra Equations
Author: Peter Linz
Publisher: SIAM
Total Pages: 240
Release: 1985-01-01
Genre: Mathematics
ISBN: 9781611970852
GET BOOK

Download Analytical and Numerical Methods for Volterra Equations Book in PDF, ePub and Kindle

Presents an aspect of activity in integral equations methods for the solution of Volterra equations for those who need to solve real-world problems. Since there are few known analytical methods leading to closed-form solutions, the emphasis is on numerical techniques. The major points of the analytical methods used to study the properties of the solution are presented in the first part of the book. These techniques are important for gaining insight into the qualitative behavior of the solutions and for designing effective numerical methods. The second part of the book is devoted entirely to numerical methods. The author has chosen the simplest possible setting for the discussion, the space of real functions of real variables. The text is supplemented by examples and exercises.

The Numerical Solution of Volterra Equations

The Numerical Solution of Volterra Equations
Author: Hermann Brunner
Publisher: North Holland
Total Pages: 608
Release: 1986
Genre: Mathematics
ISBN:
GET BOOK

Download The Numerical Solution of Volterra Equations Book in PDF, ePub and Kindle

This monograph presents the theory and modern numerical analysis of Volterra integral and integro-differential equations, including equations with weakly singular kernels. While the research worker will find an up-to-date account of recent developments of numerical methods for such equations, including an extensive bibliography, the authors have tried to make the book accessible to the non-specialist possessing only a limited knowledge of numerical analysis. After an introduction to the theory of Volterra equations and to numerical integration, the book covers linear methods and Runge-Kutta methods, collocation methods based on polynomial spline functions, stability of numerical methods, and it surveys computer programs for Volterra integral and integro-differential equations.

Integral Equations on Time Scales

Integral Equations on Time Scales
Author: Svetlin G. Georgiev
Publisher: Springer
Total Pages: 403
Release: 2016-10-30
Genre: Mathematics
ISBN: 9462392285
GET BOOK

Download Integral Equations on Time Scales Book in PDF, ePub and Kindle

This book offers the reader an overview of recent developments of integral equations on time scales. It also contains elegant analytical and numerical methods. This book is primarily intended for senior undergraduate students and beginning graduate students of engineering and science courses. The students in mathematical and physical sciences will find many sections of direct relevance. The book contains nine chapters and each chapter is pedagogically organized. This book is specially designed for those who wish to understand integral equations on time scales without having extensive mathematical background.

A Course on Integral Equations with Numerical Analysis

A Course on Integral Equations with Numerical Analysis
Author: Tofigh Allahviranloo
Publisher: Springer Nature
Total Pages: 222
Release: 2021-10-30
Genre: Technology & Engineering
ISBN: 3030853500
GET BOOK

Download A Course on Integral Equations with Numerical Analysis Book in PDF, ePub and Kindle

This book suggests that the numerical analysis subjects’ matter are the important tools of the book topic, because numerical errors and methods have important roles in solving integral equations. Therefore, all needed topics including a brief description of interpolation are explained in the book. The integral equations have many applications in the engineering, medical, and economic sciences, so the present book contains new and useful materials about interval computations including interval interpolations that are going to be used in interval integral equations. The concepts of integral equations are going to be discussed in two directions, analytical concepts, and numerical solutions which both are necessary for these kinds of dynamic systems. The differences between this book with the others are a full discussion of error topics and also using interval interpolations concepts to obtain interval integral equations. All researchers and students in the field of mathematical, computer, and also engineering sciences can benefit the subjects of the book.

Solution Methods for Integral Equations

Solution Methods for Integral Equations
Author: M. A. Goldberg
Publisher: Springer Science & Business Media
Total Pages: 351
Release: 2013-11-21
Genre: Science
ISBN: 1475714661
GET BOOK

Download Solution Methods for Integral Equations Book in PDF, ePub and Kindle

Linear and Nonlinear Integral Equations

Linear and Nonlinear Integral Equations
Author: Abdul-Majid Wazwaz
Publisher: Springer Science & Business Media
Total Pages: 639
Release: 2011-11-24
Genre: Mathematics
ISBN: 3642214495
GET BOOK

Download Linear and Nonlinear Integral Equations Book in PDF, ePub and Kindle

Linear and Nonlinear Integral Equations: Methods and Applications is a self-contained book divided into two parts. Part I offers a comprehensive and systematic treatment of linear integral equations of the first and second kinds. The text brings together newly developed methods to reinforce and complement the existing procedures for solving linear integral equations. The Volterra integral and integro-differential equations, the Fredholm integral and integro-differential equations, the Volterra-Fredholm integral equations, singular and weakly singular integral equations, and systems of these equations, are handled in this part by using many different computational schemes. Selected worked-through examples and exercises will guide readers through the text. Part II provides an extensive exposition on the nonlinear integral equations and their varied applications, presenting in an accessible manner a systematic treatment of ill-posed Fredholm problems, bifurcation points, and singular points. Selected applications are also investigated by using the powerful Padé approximants. This book is intended for scholars and researchers in the fields of physics, applied mathematics and engineering. It can also be used as a text for advanced undergraduate and graduate students in applied mathematics, science and engineering, and related fields. Dr. Abdul-Majid Wazwaz is a Professor of Mathematics at Saint Xavier University in Chicago, Illinois, USA.