Comparison among several numerical methods for solving Volterra-Fredholm integro-differential equations

Authors

  • M.K. Shahoodh Ministry of Education, Ramadi Directorate of Education, Al-idrisi Secondary School for Girls, Baghdad, Iraq.

DOI:

https://doi.org/10.15282/daam.v3i1.6568

Keywords:

Initial conditions, Mixed integro-differential equations , Boubaker polynomials method, Laguerre Polynomials method, Touchard polynomials method

Abstract

The Volterra-Fredholm integro-differential equations (VFIDEs) are complicated to solve analyticlly. In many cases, they required to obtain the approximate solutions. Therefore, the numerical methods are used to introduce approximate solutions for this types of equations. In this paper, we studied the comparison among several numerical methods for solving special orders of such types of equations. The comparison showed that, these numerical methods are acceptable and reliable numerical techniques VFIDEs of the second kind.

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Published

2022-03-31