Numerical Solution of Integral Equation by using New Modified Adomian Decomposition Method and Newton Raphson Methods 
Najmuddin Ahmad1, Balmukund Singh2
1Dr. Najmuddin Ahmad*, Department of Mathematics, Integral University, Lucknow (U.P) India.
2Balmukund Singh, Research Scholar, Department of Mathematics, Integral University, Lucknow (U.P) India.
Manuscript received on May 24, 2021. | Revised Manuscript received on May 30, 2021. | Manuscript published on June 30, 2021. | PP: 5-11 | Volume-10, Issue-8, June 2021 | Retrieval Number: 100.1/ijitee.H90690610821 | DOI: 10.35940/ijitee.H9069.0610821
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© The Authors. Blue Eyes Intelligence Engineering and Sciences Publication (BEIESP). This is an open access article under the CC BY-NC-ND license (http://creativecommons.org/licenses/by-nc-nd/4.0/)
Abstract: In this paper, we discuss the numerical solution of Adomian decomposition method and Taylor’s expansion method in Volterra linear integral equation. And we apply modified Adomian decomposition method and Newton Raphson method in Volterra nonlinear integral equation with the help of example and estimated an error in MATLAB 13 versions.
Keywords: Adomian Decomposition Method, Newton Raphson Method, Volterra Integral Equation, Taylor Expansion Methods.