WSEAS Transactions on Mathematics
Print ISSN: 1109-2769, E-ISSN: 2224-2880
Volume 23, 2024
Solving Nonlinear Volterra Integral Equations by Mohanad Decomposition Method
Authors: ,
Abstract: In this research article, we introduce the Mohanad transform-decomposition method, which is a new analytical approach. The basic characteristics and facts of the proposed method are presented and analyzed. This new method is a simple method that combines the Mohanad transform with the decomposition method. This new approach is utilized to handle nonlinear integro-differential equations, the results obtained from this method are expressed in the form of an infinite series that converges rapidly to the exact ones. The maximum absolute error is computed for the proposed examples, and some figures are presented to show the accuracy of the obtained results. All the numerical results and computations in this study are gained by using Mathematica software.
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Keywords: Integral transform, Mohanad transform, Adomian Decomposition method, Error analysis, Convolution theory, Integral equations, Nonlinear problems
Pages: 176-183
DOI: 10.37394/23206.2024.23.21