Numerical Solution of Systems of Integro Differential Equations Using Polynomial Collocation Method

  • B. A. Binta Department of Mathematics, Adamawa State Polytechnic, Yola, Nigeria.
  • M. R. Odekunle Department of Mathematics, Modibbo Adama University Yola, Nigeria.
  • D. Umar Department of Mathematics, Modibbo Adama University Yola, Nigeria
  • H. U. Waniyos Department of Statistics, Adamawa State Polytechnic, Yola, Nigeria.
Keywords: Integro Differential Equation, Matrix, Mixed Condition, Polynomial Collocation

Abstract

This paper deals with the development of a new numerical scheme to solve systems of linear integro differential equation under mixed conditions. The new method adopted the use of standard collocation points to transform the state equations into linear algebraic equations. These equations are then solved using MATLAB programming through the matrix inversion technique to obtain the unknowns. The convergence of the method is established and numerical examples are solved and compared with existing results to confirm the efficiency of the new method.

Published
2023-11-04
How to Cite
Binta, B. A., Odekunle, M. R., Umar, D., & Waniyos, H. U. (2023). Numerical Solution of Systems of Integro Differential Equations Using Polynomial Collocation Method. International Journal of Mathematical Sciences and Optimization: Theory and Applications, 9(2), 44 - 52. Retrieved from http://ijmso.unilag.edu.ng/article/view/1963
Issue
Vol 9 No 2 (2023)
Section
Articles

Copyright (c) 2023 B. A. Binta, M. R. Odekunle, D. Umar, H. U. Waniyos

Creative Commons License

This work is licensed under a Creative Commons Attribution 4.0 International License.

This is an Open Access article distributed under the terms of the Creative Commons Attribution 4.0 International License, which permits unrestricted use, distribution, adaptation, and reproduction in any medium, provided that the original work is properly cited.