APPLICATION OF THE VARIATIONAL ITERATION METHOD TO FOURTH ORDER VOLTERRA INTEGRO-DIFFERENTIAL EQUATIONS
DOI:
https://doi.org/10.33003/fjs-2026-1007-5065Keywords:
Variational Iteration Method (VIM), Volterra Integro-Differential Equation (VIDE), Fourth-Order Differential Equation, Numerical SolutionAbstract
This paper shows the application of Variational Iteration Method (VIM) to fourth-order Volterra Integro-Differential Equations (VIDEs). The method was used to obtain approximate analytical solutions to the considered problems, and the obtained results were compared with the corresponding exact solutions in order to examine the accuracy and efficiency of the technique. The variational iteration correction functional was constructed using appropriate Lagrange multipliers, leading to rapidly convergent successive approximations. Numerical computations were carried out for selected examples with the aid of Maple software, and the results obtained from VIM showed excellent agreement with the exact solutions. The errors revealed extremely small absolute errors of order , demonstrating the high level of precision and convergence of the method. Also, graphical comparisons indicated that the VIM solutions almost completely overlap with the exact solutions throughout the interval considered, confirming the reliability and stability of the approach.
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Copyright (c) 2026 Ayodeji David Kolade, Taiye John ALABI, Omolola Felicia Ajayi
This work is licensed under a Creative Commons Attribution 4.0 International License.
