Solving nonlinear integro-differential equations using numerical method

The aim of this paper is to establish conditions for the existence and uniqueness of the solution of a nonlinear integro-differential equation. Moreover, it is to propose a quadrature method in order to find an approximate solution and establish the convergence of the method. We conclude by providing the algorithm and some numerical simulation to confirm our theoretical results © This work is licensed under a Creative Commons Attribution 4.0 International License

Authors
Ramdani N.E.1 , Pinelas S. 2
Publisher
TUBITAK
Number of issue
Special Issue
Language
English
Pages
675-687
Status
Published
Volume
46
Year
2022
Organizations
  • 1 Department of Civil Engineering, Faculty of Technology, University Saad Dahlab, Blida, Algeria
  • 2 Peoples’ Friendship University of Russia (RUDN University), Moscow, Russian Federation
Keywords
Backward difference; Existence and uniqueness; Gauss–kronrod; Nonlinear integro-differential equation; Quadrature method
Date of creation
06.07.2022
Date of change
06.07.2022
Short link
https://repository.rudn.ru/en/records/article/record/84258/
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