Comparing the Solution of the Equations of Integral Volterra by the Method of Adomian Decomposition and Method of Series Solution and Method of Successive Approximations Numerically
DOI:
https://doi.org/10.29304/jqcsm.2026.18.22634Keywords:
Keywords: The Second Kind of Nonlinear Volterra Integral Equations, The Method of Adomian Decomposition (ADM)., The Method of Series Solution (SSM). And The Method of Successive Approximations (SAM).Abstract
In this article, we try three a numerical techniques to solve nonlinear Volterra crucial equations of the second type, that is primarily based on the use of The Method of Series Solution (SSM), The Method of Adomian Decomposition (ADM) and The Method of Successive Approximations approach (SAM). They are very beneficial to obtain the solutions. We additionally show list a few numerical examples to reveal the effectiveness of the numerical methods. Our studies highlights the significance of the numerical techniques as these strategies are quick convergence of solutions. Furthermore, our evaluation led us to the willpower that any imperative equations may be solved by using those techniques without problems and all of the techniques led us about at one factor.
The results obtained through strategies had been compared with the other solution. Hence, ADM is observed to be a terrific device for the answer of Volterra necessary equations and additionally minimizes the volume of calculations.
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Copyright (c) 2026 Dheyaa Hamid Hatif
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