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A Course on Integral Equations with Numerical Analysis

Advanced Numerical Analysis

  • Book
  • © 2022

Overview

  • Presents a comprehensive treatment of on Integral Equations with Numerical Analysis
  • Focuses on numerical integration and integral equations which are useful for all engineering sciences
  • Explains theoretical and numerical aspects of solving integral equations

Part of the book series: Mathematical Engineering (MATHENGIN)

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  • 1 Citation

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About this book

This book suggests that the numerical analysis subjects’ matter are the important tools of the book topic, because numerical errors and methods have important roles in solving integral equations. Therefore, all needed topics including a brief description of interpolation are explained in the book. The integral equations have many applications in the engineering, medical, and economic sciences, so the present book contains new and useful materials about interval computations including interval interpolations that are going to be used in interval integral equations.

The concepts of integral equations are going to be discussed in two directions, analytical concepts, and numerical solutions which both are necessary for these kinds of dynamic systems. The differences between this book with the others are a full discussion of error topics and also using interval interpolations concepts to obtain interval integral equations. All researchers and students in the field of mathematical, computer, and also engineering sciences can benefit the subjects of the book.


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Table of contents (7 chapters)

Authors and Affiliations

  • Faculty of Engineering and Natural Sciences, Bahcesehir University, Istanbul, Turkey

    Tofigh Allahviranloo, Armin Esfandiari

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Bibliographic Information

  • Book Title: A Course on Integral Equations with Numerical Analysis

  • Book Subtitle: Advanced Numerical Analysis

  • Authors: Tofigh Allahviranloo, Armin Esfandiari

  • Series Title: Mathematical Engineering

  • DOI: https://doi.org/10.1007/978-3-030-85350-1

  • Publisher: Springer Cham

  • eBook Packages: Engineering, Engineering (R0)

  • Copyright Information: The Editor(s) (if applicable) and The Author(s), under exclusive license to Springer Nature Switzerland AG 2022

  • Hardcover ISBN: 978-3-030-85349-5Published: 31 October 2021

  • Softcover ISBN: 978-3-030-85352-5Published: 01 November 2022

  • eBook ISBN: 978-3-030-85350-1Published: 30 October 2021

  • Series ISSN: 2192-4732

  • Series E-ISSN: 2192-4740

  • Edition Number: 1

  • Number of Pages: X, 214

  • Number of Illustrations: 3 b/w illustrations

  • Topics: Engineering Mathematics, Computational Science and Engineering

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