SOLVING VOLTERRA-FREDHOLM INTEGRAL EQUATIONS BY QUADRATIC SPLINE FUNCTION

  • Sarfraz Hassan Salim Department of Mathematics, College of Science, Salahaddin University-Erbil, Iraq
  • Rostam Karim Saeed Department of Mathematics, College of Science, Salahaddin University-Erbil, Iraq
  • Karwan Hama Faraj Jwamer Department of Mathematics, College of Science, Salahaddin University-Erbil, Iraq
Keywords: Volterra Integral Equation, Fredholm Integral Equation, 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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Published
2022-12-02
How to Cite
Salim, S., Saeed, R., & Faraj Jwamer, K. (2022). SOLVING VOLTERRA-FREDHOLM INTEGRAL EQUATIONS BY QUADRATIC SPLINE FUNCTION. 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
Section
Math Articles