A Numerical Method for the Solution of Linear Volterra Integral Equations

Authors

  • Ganiyu Ajileye Department of Mathematics and Statistics, Federal University Wukari, Taraba State, Nigeria. Author
  • Aduroja Ojo Olamiposi Department of Mathematics, University of Ilesa, Ilesa, Osun State, Nigeria. Author
  • Grace I. Amakoromo Department of Mathematics and Statistics, Federal University Wukari, Taraba State, Nigeria. Author
  • Adewole M. Ajileye Department of Mathematics and Statistics, Federal University Wukari, Taraba State, Nigeria. Author

DOI:

https://doi.org/10.62054/ijdm/0101.04

Abstract

The goal of this paper is to present a numerical method for solving the Volterra integral equations using the collocation approximation method with a power series polynomial. The modeled problem is converted into an algebraic equation system and solved using the standard collocation points. After establishing the approach's uniqueness and convergence, numerical examples were used to evaluate its effectiveness. The results show that the method outperforms others.

Approximate solution, Integral equations, Polynomial power series, Volterra

 

References

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Published

2024-03-20

Data Availability Statement

None

How to Cite

A Numerical Method for the Solution of Linear Volterra Integral Equations. (2024). International Journal of Development Mathematics (IJDM), 1(1). https://doi.org/10.62054/ijdm/0101.04