An Analytic Solution for Riccati Matrix Delay Differential Equation using Coupled Homotopy-Adomian Approach

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Khalid Hammood AL-Jizani
https://orcid.org/0000-0002-8521-2090
Jawad Kadhim K. Al-Delfi
https://orcid.org/0000-0001-5612-9063

Abstract

An efficient modification and a novel technique combining the homotopy concept with  Adomian decomposition method (ADM) to obtain an accurate analytical solution for Riccati matrix delay differential equation (RMDDE) is introduced  in this paper  . Both methods are very efficient and effective. The whole integral part of ADM is used instead of the integral part of homotopy technique. The major feature in current technique gives us a large convergence region of iterative approximate solutions .The results acquired by this technique give better approximations for a larger region as well as previously. Finally, the results conducted via suggesting an efficient and easy technique, and may be addressed to other non-linear problems.

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AL-Jizani KH, Al-Delfi JKK. An Analytic Solution for Riccati Matrix Delay Differential Equation using Coupled Homotopy-Adomian Approach. Baghdad Sci.J [Internet]. 2022 Aug. 1 [cited 2022 Nov. 29];19(4):0800. Available from: https://bsj.uobaghdad.edu.iq/index.php/BSJ/article/view/5752
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