Novel methods for solving linear and nonlinear integral equations

✍ Scribed by Saha Ray, Santanu; Sahu, Prakash Kumar

• Publisher: Chapman and Hall/CRC
• Year: 2019
• Tongue: English
• Leaves: 265
• Category: Library

✦ Synopsis

This book deals with the numerical solution of integral equations based on approximation of functions and the authors apply wavelet approximation to the unknown function of integral equations. The book's goal is to categorize the selected methods and assess their accuracy and efficiency.

Abstract: This book deals with the numerical solution of integral equations based on approximation of functions and the authors apply wavelet approximation to the unknown function of integral equations. The book's goal is to categorize the selected methods and assess their accuracy and efficiency

✦ Table of Contents

Content: Preliminary concepts --
Numerical methods and function approximation --
Numerical solutions of Fredholm integral equations by B-spline wavelet method --
Numerical solutions of nonlinear Fredholm integral equations system by polynomial approximation and orthogonal functions --
Numerical solutions of Hammerstein integral equations arising in chemical phenomena --
Numerical solution of system of Volterra integro-differential equations --
Numerical solutions of Volterra integro-differential equation form of Lane-Emden type differential equations --
Application of Legendre spectral collocation method for solving integro-differential equations --
Numerical solutions of fuzzy integral equations --
Numerical solutions of fractional integro-differential equations.

✦ Subjects

Integral equations;Numerical solutions;Wavelets (Mathematics)