SINGULAR INTEGRAL EQUATIONS - Softcover

Aggarwal, Dr. Sudhanshu; Singh, Dr. Harendra

Softcover

ISBN 13: 9798743711529

Publisher: Independently published, 2021

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.

Edition details

• Publisher: Independently published
• Publication date: 2021
• ISBN 13: 9798743711529
• Binding: Paperback
• Language: English
• Number of pages: 67