SINGULAR INTEGRAL EQUATIONS

Aggarwal, Dr. Sudhanshu; Singh, Dr. Harendra

/ ISBN 13: 9798743711529

Published by Independently published, 2021

In. Seller Inventory # ria9798743711529_new

Synopsis:

Many interesting problems of engineering, mechanics, statistics, physics, elasticity, potential theory, plasticity, fluid dynamics, population dynamics, and aero dynamics can be solved by defining in terms of singular integral equations. Singular integral equations have very unusual properties.This book is to explore the basic concepts of singular integral equation (Abel’s integral equation, generalized Abel’s integral equation, weakly singular (Abel’s type) integral equation of second kind and weakly singular (generalized Abel’s type) integral equation of second kind in a simple, systematic and easy-to-understand manner. The present book is divided into five chapters.Chapter 1 contains the definition and examples of integral equation, Volterra integral equation, Fredholm integral equation, singular integral equation with Laplace and inverse Laplace transforms. Chapter 2 deals the solution of Abel’s integral equation using Laplace transforms with numerical problems. Chapter 3 discusses the solution of generalized Abel’s integral equation using Laplace transforms with numerical problems. Chapter 4 discusses the solution of weakly singular (Abel’s type) integral equation of second kind using Laplace transforms with numerical problems.Chapter 5 discusses the solution of weakly singular (generalized Abel’s type) integral equation of second kind using Laplace transforms with numerical problems.

Bibliographic Details

Title: SINGULAR INTEGRAL EQUATIONS
Publisher: Independently published
Publication Date: 2021
Binding: Soft cover
Condition: New