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Topics in Integral and Integro-Differential Equations

Theory and Applications

  • Book
  • © 2021

Overview

Editors:
  1. Harendra Singh

    1. Department of Mathematics, Post Graduate College, Ghazipur, India

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    You can also search for this editor in PubMed   Google Scholar

  2. Hemen Dutta

    1. Department of Mathematics, Gauhati University, Guwahati, India

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    You can also search for this editor in PubMed   Google Scholar

  3. Marcelo M. Cavalcanti

    1. Departamento de Matemática, Universidade Estadual de Maringá, Maringá, Brazil

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    You can also search for this editor in PubMed   Google Scholar

  • Highlights recent research in integral and integro-differential equations and their applications in various areas of science and engineering
  • Discusses theory, methods, and applications related to various types of integral and integro-differential equations
  • Presents new and advanced methods for solving integral and integro-differential equations

Part of the book series: Studies in Systems, Decision and Control (SSDC, volume 340)

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Table of contents (9 chapters)

  1. Front Matter

    Pages i-ix
    Download chapter PDF

  2. Wavelet-Galerkin Method for Second-Order Integro-differential Equations on Product Domains

    • Dana Černá, Václav Finěk
    Pages 1-40

  3. Analysis and Spectral Element Solution of Nonlinear Integral Equations of Hammerstein Type

    • Juarez S. Azevedo, Saulo P. Oliveira, Suzete M. Afonso, Mariana P. G. da Silva
    Pages 41-62

  4. Approximate Methods for Solving Hypersingular Integral Equations

    • Ilya Boykov
    Pages 63-101

  5. Solutions of Integral Equations by Reproducing Kernel Hilbert Space Method

    • Ali Akgül
    Pages 103-124

  6. Restricted Global Convergence Domains for Integral Equations of the Fredholm-Hammerstein Type

    • J. A. Ezquerro, M. A. Hernández-Verón
    Pages 125-148

  7. Boundary Integral Equation Formulation for Fractional Order Theory of Thermo-Viscoelasticity

    • M. A. Elhagary
    Pages 149-168

  8. Spectral Methods for Solving Integro-differential Equations and Bibiliometric Analysis

    • Sedigheh Sabermahani, Yadollah Ordokhani, Parisa Rahimkhani
    Pages 169-214

  9. An Efficient Numerical Algorithm to Solve Volterra Integral Equation of Second Kind

    • Ram K. Pandey, Harendra Singh
    Pages 215-228

  10. An Integral Equation Method for Wave Scattering by a Pair of Horizontal Porous Plates

    • Sanjib Naskar, Souvik Kundu, R. Gayen
    Pages 229-255
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Keywords

About this book

This book includes different topics associated with integral and integro-differential equations and their relevance and significance in various scientific areas of study and research. Integral and integro-differential equations are capable of modelling many situations from science and engineering. Readers should find several useful and advanced methods for solving various types of integral and integro-differential equations in this book. The book is useful for graduate students, Ph.D. students, researchers and educators interested in mathematical modelling, applied mathematics, applied sciences, engineering, etc. 

Key Features

•                      New and advanced methods for solving integral and integro-differential equations

•                      Contains comparison of various methods for accuracy

•                      Demonstrates the applicability of integral and integro-differential equations in other scientific areas

•                      Examines qualitative as well as quantitative properties of solutions of various types of integral and integro-differential equations

Editors and Affiliations

  • Department of Mathematics, Post Graduate College, Ghazipur, India

    Harendra Singh

  • Department of Mathematics, Gauhati University, Guwahati, India

    Hemen Dutta

  • Departamento de Matemática, Universidade Estadual de Maringá, Maringá, Brazil

    Marcelo M. Cavalcanti

Bibliographic Information

  • Book Title: Topics in Integral and Integro-Differential Equations

  • Book Subtitle: Theory and Applications

  • Editors: Harendra Singh, Hemen Dutta, Marcelo M. Cavalcanti

  • Series Title: Studies in Systems, Decision and Control

  • DOI: https://doi.org/10.1007/978-3-030-65509-9

  • Publisher: Springer Cham

  • eBook Packages: Intelligent Technologies and Robotics, Intelligent Technologies and Robotics (R0)

  • Copyright Information: The Editor(s) (if applicable) and The Author(s), under exclusive license to Springer Nature Switzerland AG 2021

  • Hardcover ISBN: 978-3-030-65508-2Published: 16 March 2021

  • Softcover ISBN: 978-3-030-65511-2Published: 17 March 2022

  • eBook ISBN: 978-3-030-65509-9Published: 15 March 2021

  • Series ISSN: 2198-4182

  • Series E-ISSN: 2198-4190

  • Edition Number: 1

  • Number of Pages: IX, 255

  • Number of Illustrations: 23 b/w illustrations, 33 illustrations in colour

  • Topics: Computational Intelligence

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