Numerical Solutions of Mixed Integro-Differential Equations by Least-Squares Method and Laguerre Polynomial

  • Hameeda Oda Al-Humedi Mathematics Department, Education College for Pure Sciences, Basrah University, Basrah, Iraq
  • Ahsan Fayez Shoushan Mathematics Department, Education College for Pure Sciences, Basrah University, Basrah, Iraq
Keywords: mixed integro-differential equations, Laguerre polynomial, least-squares method


The main objective of this article is to present a new technique for solving integro-differential equations (IDEs) subject to mixed conditions, based on the least-squares method (LSM) and Laguerre polynomial. To explain the effect of the proposed procedure will be discussed three examples of the first, second and three-order linear mixed IDEs. The numerical results used to demonstrate the validity and applicability of comparisons of this method with the exact solution shown that the competence and accuracy of the present method.


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How to Cite
Al-Humedi, H. O., & Shoushan, A. F. (2021). Numerical Solutions of Mixed Integro-Differential Equations by Least-Squares Method and Laguerre Polynomial. Earthline Journal of Mathematical Sciences, 6(2), 309-323.