Numerical Solution of Linear Volterra Integral Equation of the Second Kind with Delay Using Lagrange Polynomials

Authors

  • Iman A. Dhari Department of Mathematics, College of Science for Women, University of Baghdad, Baghdad, Iraq https://orcid.org/0009-0002-9785-205X
  • Muna M. Mustafa Department of Mathematics, College of Science for Women, University of Baghdad, Baghdad, Iraq

DOI:

https://doi.org/10.24996/ijs.2024.65.3.30

Keywords:

Delay Integral Equation, Lagrange Polynomial, Linear, Second Kind, Volterra Integral Equation.

Abstract

     In this study, the linear Volterra integral problem of the second kind will be treated with delay using a Lagrange polynomial. The Volterra integral problem is solved numerically using the chosen technique to obtain the best approximation. Additionally, the test examples are provided to demonstrate, through comparison with other methods' outcomes, the great degree of accuracy of the approximative solutions. Moreover, To verify the accuracy of the calculations that is used in these test examples, the absolute error is used to compare it to the exact solution. For this method, the program is written by MATLAB R2018a language.

Downloads

Published

2024-03-29

Issue

Section

Mathematics

How to Cite

Numerical Solution of Linear Volterra Integral Equation of the Second Kind with Delay Using Lagrange Polynomials. (2024). Iraqi Journal of Science, 65(3), 1541-1547. https://doi.org/10.24996/ijs.2024.65.3.30

Similar Articles

1-10 of 493

You may also start an advanced similarity search for this article.