# SOLVING VOLTERRA-FREDHOLM INTEGRAL EQUATIONS BY QUADRATIC SPLINE FUNCTION

### Abstract

Using the quadratic spline function, this paper finds the numerical solution of mixed Volterra-Fredholm integral equations of the second kind. The proposed method is based on employing the quadratic spline function of the unknown function at an arbitrary point and using the integration method to turn the Volterra-Fredholm integral equation into a system of linear equations with respect to the unknown function. An approximate solution can be easily established by solving the given system. This is accomplished with the help of a computer program that runs on Python 3.9..

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*Journal of Al-Qadisiyah for Computer Science and Mathematics*,

*14*(4), Math Page 10-19. https://doi.org/10.29304/jqcm.2022.14.4.1092

Copyright (c) 2022 Sarfraz Hassan Salim, Rostam Karim Saeed, Karwan Hama Faraj Jwamer

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