Novel Methods for Solving Linear and Nonlinear Integral Equations

1. Auflage 2018
ISBN: 978-1-138-36274-1
Verlag: CRC Press

Buch, Englisch, 264 Seiten, Format (B × H): 156 mm x 234 mm, Gewicht: 549 g

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.

Autoren/Hrsg.

Ray, Santanu Saha

Sahu, Prakash Kumar

Fachgebiete

• Mathematik | Informatik Mathematik Mathematische Analysis Differentialrechnungen und -gleichungen
• Mathematik | Informatik Mathematik Mathematik Allgemein Zahlensysteme
• Mathematik | Informatik Mathematik Numerik und Wissenschaftliches Rechnen Angewandte Mathematik, Mathematische Modelle

Inhaltsverzeichnis

Preface. Authors. Acknowledgement. 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 phenomenon. Numerical solution of system of Volterra integro-differential equations. Numerical solutions of Volterra integro-di erential equation form of Lane-Emden type differential equations. Application of Legendre Spectral Collocation Method for solving integro-di erential equations. Numerical solutions of fuzzy integral equations. Numerical solutions of fractional integro-di erential equations. Bibliography. Index.

Über Autor(innen)

Santanu Saha Ray, Prakash Kumar Sahu