Khadeejah James Audu2025-05-012023-08-28Audu, K. J. (2023). Computational Algorithm for Volterra Integral Solutions via Variational. Iterative Method. A Paper presented at International Conference on Mathematical Sciences and Optimization (AMSO), University of Lagos, Lagos State, Nigeria, 28th August – 2nd September, 2023.http://repository.futminna.edu.ng:4000/handle/123456789/1516A conference PaperThe Volterra Integral Equations (VIE) are a class of mathematical equations that find applications in various fields, including physics, engineering, and biology. Solving VIEs analytically is often challenging, and researchers have turned to numerical methods for obtaining approximate solutions. In this research, we propose a computational algorithm based on the Variational Iterative Method (VIM) to efficiently and accurately solve VIEs. By incorporating this method into the computational algorithm, we aim to improve the accuracy and convergence rate of the solutions. The performance of our algorithm was evaluated through extensive numerical experiments on various types of VIEs. The results demonstrate the effectiveness of the VIM approach in terms of accuracy, convergence rate, and computational efficiency. In conclusion, the proposed computational algorithm based on VIM presents a valuable contribution to the field of solving VIEs. It offers an efficient and accurate approach for obtaining approximate solutions, enabling researchers and practitioners to tackle complex problems that rely on VIEs. The algorithm's versatility and robustness make it a promising tool for a wide range of applications, including physics, engineering, and biology.enVolterra integral equationsComputational algorithmVariation iterative methodNumerical solutionsConvergencePresentation