The Numerical Solutions of FIEs of the Second Kind of Degenerated Type Using Bownd's Methods

Authors

  • Atefa J. Saleh Department of Mathematics, College of Basic Education, Mustansiriyah University, Baghdad, Iraq

DOI:

https://doi.org/10.26713/jims.v13i1.1533

Keywords:

Runge-Kutta method, Fredholm Equations, single-step equation, Adomian's decomposition method, Degenerated type equation.

Abstract

In this work, we consider the numerical solutions of some types of Fredholm integro-differential equations (FIDEs). Namely, Bownd's, successive, Adomian's and the improved methods are used to solve linear Fredholm integro-differential equations (FIDEs). In addition, some numerical examples are given to show the efficiency and accuracy of the proposed methods. The numerical results show that using the improved methods is the best technique to solve such types of problems.

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References

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Published

2021-03-31
CITATION

How to Cite

Saleh, A. J. (2021). The Numerical Solutions of FIEs of the Second Kind of Degenerated Type Using Bownd’s Methods. Journal of Informatics and Mathematical Sciences, 13(1), 9–24. https://doi.org/10.26713/jims.v13i1.1533

Issue

Vol. 13 No. 1 (2021)

Section

Research Articles

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