(R2113) A Numerical Method for Solving Linear First-Order Volterra Integro-Differential Equations with Integral Boundary Condition

Authors

Zelal Temel, Van Yuzuncu Yil University
Musa Cakir, Van Yuzuncu Yil University

Abstract

We investigate an efficient numerical method for the linear first-order Volterra integro-differential equations with integral boundary condition. To solve this problem, boundaries are determined for its derivative and the solution. The numerical solutions of the problem are modeled over a uniform mesh using the composite right-side rectangle concept for the integral component and the implicit difference rules for the differential component. Next, the stability and convergence of the numerical approach are discussed. The numerical experiments are presented confirming the accuracy of the proposed scheme.

Recommended Citation

Temel, Zelal and Cakir, Musa (2024). (R2113) A Numerical Method for Solving Linear First-Order Volterra Integro-Differential Equations with Integral Boundary Condition, Applications and Applied Mathematics: An International Journal (AAM), Vol. 19, Iss. 2, Article 10.
Available at: https://digitalcommons.pvamu.edu/aam/vol19/iss2/10