Numerical Solution of Linear Integral and Integro-Differential Equations Using Boubakar Collocation Method

  • A. O. Adesanya Department of Mathematics, Modibbo Adama University of Technology, Yola, Adamawa State, Nigeria
  • Y. A. Yahaya Department of Mathematics, Federal University of Technology, Minna, Niger State, Nigeria
  • B. Ahmed Department of Mathematics, Federal University of Technology, Minna, Niger State, Nigeria
  • R. O. Onsachi Department of Mathematics, Modibbo Adama University of Technology, Yola, Adamawa State, Nigeria
Keywords: Integral equations, Fredholm-Volterra integro-differential equations, Collocation method, Boubakar polynomial

Abstract

This paper discusses a new collocation method based on Boubakar approximating polynomial for the solution of first order linear integral and integro-differential equations with initial condition. The integro-differential equations is converted into integral equations and later transformed to system of linear equations using standard collocation method. The linear equation is then solved using matrix inversion method. Three examples are given, numerical solutions show that the method is efficient in handling problems under consideration.

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Published
2020-01-30
How to Cite
Adesanya, A. O., Yahaya, Y. A., Ahmed, B., & Onsachi , R. O. (2020). Numerical Solution of Linear Integral and Integro-Differential Equations Using Boubakar Collocation Method. International Journal of Mathematical Analysis and Optimization: Theory and Applications, 2019(2), 592 - 598. Retrieved from http://jsrd.unilag.edu.ng/index.php/ijmao/article/view/566
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Articles