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Articles

Vol. 1 No. 2 (2025): Volume 1 Issue 2 2025

Application of the Boubakar collocation method to the numerical solution of integral and integralo-differential equations with linear parameters

  • Yahaya, Y. A
  • Ahmed, B
Submitted
July 5, 2026
Published
2025-05-15

Abstract

In order to solve first-order linear integral and integro-differential equations with starting conditions, this
work presents a novel collocation approach that is based on Boubakar approximation polynomial. After
transforming the integro-differential equations into integral equations, the usual collocation technique is
used to turn them into a system of linear equations. After that, the matrix inversion approach is used to solve
the linear equation. The approach is shown to be efficient in addressing the issues under investigation using
numerical solutions in three cases.