A Combination of the Orthogonal Polynomials with Least – Squares Method for Solving High-Orders Fredholm-Volterra Integro-Differential Equations

  • ahsan altaher basrah university
  • Hameeda Oda Al-Humedi
Keywords: Fredholm-Volterra Integro-Differential equations, Chebyshev and Legendre polynomials

Abstract

This study introduced new technique which is based on a combination of the least-squares technique (LST) with Chebyshev and Legendre polynomials for finding the approximate solutions of higher-order linear Fredholm-Volterra integro-differential equations (FVIDEs) subject to the mixed conditions. Two examples of second and third-order linear FVIDEs are considered to illustrate the proposed method, the numerical results are comprised to demonstrate the validity and applicability of this technique, and comparisons with the exact solution are made. These results have shown that the competence and accuracy of the present technique.

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Published
2020-11-30
How to Cite
altaher, ahsan, & Hameeda Oda Al-Humedi. (2020). A Combination of the Orthogonal Polynomials with Least – Squares Method for Solving High-Orders Fredholm-Volterra Integro-Differential Equations. Al-Qadisiyah Journal of Pure Science, 26(1), Math 20-38. https://doi.org/10.29350/qjps.2021.26.1.1207
Section
Mathematics