Singular Integral Equations

Harendra Singh

ISBN 13: 9798743711529

Edité par Independently Published Apr 2021, 2021

A propos de cet article

Neuware.

N° de réf. du vendeur 9798743711529

Détails bibliographiques

• Titre: Singular Integral Equations
• Éditeur: Independently Published Apr 2021
• Date de parution: 2021
• Langue: anglais
• ISBN à 13 chiffres: 9798743711529
• Reliure: Taschenbuch
• État de l'article: Neu
• Dimensions: 280 L x 216 H x 4 P (en millimètres) 280 millimètres de largeur par 216 millimètres de hauteur par 4 millimètres de profondeur
• Poids: 181 grammes

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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.