SINGULAR INTEGRAL EQUATIONS AND LAPLACE-CARSON TRANSFORMS

by Sudhanshu Aggarwal, Dr. Sanjay Kumar

Singular integral equations can be used for solving many interesting problems of engineering, mechanics, statistics, physics, elasticity, potential theory, plasticity, fluid dynamics, population dynamics, and aero dynamics. Singular integral equations have very unusual properties.This book is to explore the basic concepts of singular integral equation and Laplace-Carson transforms 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-Carson and inverse Laplace-Carson transforms. Chapter 2 deals the solution of Abel’s integral equation using Laplace-Carson transform with numerical problems. Chapter 3 discusses the solution of generalized Abel’s integral equation using Laplace-Carson transform with numerical problems. Chapter 4 discusses the solution of weakly singular (Abel’s type) integral equation of second kind using Laplace-Carson transform with numerical problems.Chapter 5 discusses the solution of weakly singular (generalized Abel’s type) integral equation of second kind using Laplace-Carson transform with numerical problems.

100 pages, Paperback

Published May 17, 2021