A Semi-Analytical Method for Nonlinear System of Delay Differential Equation via Modified He’s Polynomial

In this work, a simple technique based on the combination of sumudu transform and variational iteration method via Modified He’s polynomial is introduced to solve systems of non-linear delay differential equations. The introduced technique is simpler and shorter in its computational procedures and time than the other methods. In addition, the modified He’s polynomial takes care of the nonlinear terms and hence, making the method less stressful in terms of computations. Also, this technique reduces the complexity of calculating Lagrange’s multiplier values which need more computational procedures and time. These advantages make it reliable and its efficiency is demonstrated with numerical examples.

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Publication Details

Journal
Journal of Multidisciplinary Science MIKAILALSYS
Published
2025-04-07
DOI
https://doi.org/10.58578/mikailalsys.v3i2.5319
Primary Topic
Numerical methods for differential equations
Type
article
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article

A Semi-Analytical Method for Nonlinear System of Delay Differential Equation via Modified He’s Polynomial

A. G. Madaki, Aminu Barde, Yohanna Nehemiah, Michael Cornelius
Journal of Multidisciplinary Science MIKAILALSYS
Numerical methods for differential equations
article

A Semi-Analytical Method for Nonlinear System of Delay Differential Equation via Modified He’s Polynomial

A. G. Madaki, Aminu Barde, Yohanna Nehemiah, Michael Cornelius
article en

Abstract

In this work, a simple technique based on the combination of sumudu transform and variational iteration method via Modified He’s polynomial is introduced to solve systems of non-linear delay differential equations. The introduced technique is simpler and shorter in its computational procedures and time than the other methods. In addition, the modified He’s polynomial takes care of the nonlinear terms and hence, making the method less stressful in terms of computations. Also, this technique reduces the complexity of calculating Lagrange’s multiplier values which need more computational procedures and time. These advantages make it reliable and its efficiency is demonstrated with numerical examples.

Journal of Multidisciplinary Science MIKAILALSYSVol. 3(2)
Abubakar Tafawa Balewa University (NG), Gombe State University (NG)
Openalex Percentile: Top 90%
Numerical methods for differential equations
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