Version 1
: Received: 3 March 2021 / Approved: 4 March 2021 / Online: 4 March 2021 (09:20:22 CET)
How to cite:
Hamoud, A.; Ghadle, K. A Comparative Study of VIM and ADM for Solving Volterra-Fredholm Integro-Differential Equations. Preprints2021, 2021030148. https://doi.org/10.20944/preprints202103.0148.v1
Hamoud, A.; Ghadle, K. A Comparative Study of VIM and ADM for Solving Volterra-Fredholm Integro-Differential Equations. Preprints 2021, 2021030148. https://doi.org/10.20944/preprints202103.0148.v1
Hamoud, A.; Ghadle, K. A Comparative Study of VIM and ADM for Solving Volterra-Fredholm Integro-Differential Equations. Preprints2021, 2021030148. https://doi.org/10.20944/preprints202103.0148.v1
APA Style
Hamoud, A., & Ghadle, K. (2021). A Comparative Study of VIM and ADM for Solving Volterra-Fredholm Integro-Differential Equations. Preprints. https://doi.org/10.20944/preprints202103.0148.v1
Chicago/Turabian Style
Hamoud, A. and Kirtiwant Ghadle. 2021 "A Comparative Study of VIM and ADM for Solving Volterra-Fredholm Integro-Differential Equations" Preprints. https://doi.org/10.20944/preprints202103.0148.v1
Abstract
In this article, we present a comparative study between the Adomian Decomposition Method (ADM) and Variational Iteration Method (VIM). The study outlines the significant features of the two methods, for solving nonlinear Volterra-Fredholm integro-differential equations. From the computational viewpoint, the VIM is more efficient, convenient and easy to use. Moreover, we proved the existence and uniqueness results and convergence of the solution. Finally, an example is included to demonstrate the validity and applicability of the proposed techniques.
Computer Science and Mathematics, Algebra and Number Theory
Copyright:
This is an open access article distributed under the Creative Commons Attribution License which permits unrestricted use, distribution, and reproduction in any medium, provided the original work is properly cited.
