A Robust Numerical Method for Solving Linear Delay Differential Equations

Ibrahim M.D.¹ , Okai J.O.² , Michael Cornelius³

Section:Research Paper, Product Type: Journal-Paper
Vol.11 , Issue.6 , pp.86-90, Dec-2024

Online published on Dec 31, 2024

Copyright © Ibrahim M.D., Okai J.O., Michael Cornelius . 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.
 

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Abstract :
This study introduces the Modified New Iterative Method (MNIM) for solving linear delay differential equations (LDDEs) and enhancing accuracy with a post-treatment iterative technique. Key concepts, including LDDEs and El-Kalla polynomials, are outlined. MNIM`s validity is confirmed through test cases, showing precise approximations with minimal error. The method proves efficient and reliable.

Key-Words / Index Term :
Linear delay differential equations, El-Kalla polynomials, Adomian polynomials

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