IJAM: Volume 38, No. 4 (2025)

DOI: 10.12732/ijam.v38i4.4

ON SOLVING VOLTERRA
INTEGRO-DIFFERENTIAL EQUATION
USING NEW MODIFIED ADOMIAN
DECOMPOSITION METHOD

 

Asiya Ansari1, Najmuddin Ahmad2,*, Ali Hasan Ali3,4,5

 

1Department of Mathematics and Computer Science
Babu Banarasi Das University, Lucknow - 226028, INDIA
2Department of Mathematics & Statistics
Integral University, Lucknow - 226026, INDIA
3Department of Mathematics
College of Education for Pure Sciences
University of Basrah, Basrah - 61001, IRAQ
4Technical Engineering College
Al-Ayen University, Dhi Qar - 64001, IRAQ
5Department of Business Management
Al-imam University College, Balad - 34011, IRAQ

 

Abstract. A novel and reliable semi-analytical method to solving Volterra integro-differential equations is presented in this study. A new modified Adomian Decomposition Method is described in this paper. By presenting some examples and plotting the error function and comparison between the exact and approximate solutions, we show the ability, simplicity, and effectiveness of this method.

 

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How to cite this paper?
DOI: 10.12732/ijam.v38i4.4
Source: International Journal of Applied Mathematics
ISSN printed version: 1311-1728
ISSN on-line version: 1314-8060
Year: 2025
Volume: 38
Issue: 4

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