Abstract
A new method based on the Touchard polynomials (TPs) was presented for the numerical solution of the linear Fredholm integro-differential equation (FIDE) of the first order and second kind with condition. The derivative and integration of the (TPs) were simply obtained. The convergence analysis of the presented method was given and the applicability was proved by some numerical examples. The results obtained in this method are compared with other known results.
Keywords
Fredholm equation, Integro-differential equation, Integral equation, Touchard polynomial, Numerical solution
Article Type
Article
How to Cite this Article
Abdullah, Jalil Talab
(2021)
"Numerical Solution for Linear Fredholm Integro-Differential Equation Using Touchard Polynomials,"
Baghdad Science Journal: Vol. 18:
Iss.
2, Article 14.
DOI: https://doi.org/10.21123/bsj.2021.18.2.0330
