EventsThe 1st International Online Conference on Mathematics and Applications
Published
with-doi10.3390/IOCMA2023-14384 (registering DOI)
This submission belongs to the session S12. Computational Mathematics of the event The 1st International Online Conference on Mathematics and Applications
Published date
28 Apr, 2023
Academic Editor
author-avatarJuan Torregrosa
Citation
Giriraj Methi, Rupal Aggarwal, A new efficient numerical approach for delay differential equations, in Proceedings of The 1st International Online Conference on Mathematics and Applications, 1 May–15 May 2023, MDPI: Basel, Switzerland, doi: 10.3390/IOCMA2023-14384
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A new efficient numerical approach for delay differential equations

1. Department of Mathematics & Statistics, Manipal University Jaipur, Rajasthan, India
Abstract

In this paper, different types of nonlinear delay differential equations are solved using the hybrid technique of the differential transform and the Bell polynomial. The obtained results are compared to those obtained previously. The nonlinear terms involved in delay differential equations are handled efficiently with the help of Bell polynomials. The presented technique has been tested on four concrete problems. Different types of errors, such as absolute and maximal, are computed to show the effectiveness and reliability of the method.

Keywords
Delay differential equations
Differential transform
Bell polynomial
Convergence
Errors
Manuscript
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