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

Authors

Khalid Hammood AL-Jizani, Department of Mathematics, College of Science, Mustansiriyah University, Baghdad, Iraq.Follow
Jawad Kadhim K. Al-Delfi, Department of Mathematics, College of Science, Mustansiriyah University, Baghdad, Iraq.Follow

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.

Keywords

ADM, Homotopy analysis method, RMDDE

Article Type

Article

How to Cite this Article

AL-Jizani, Khalid Hammood and Al-Delfi, Jawad Kadhim K. (2022) "An Analytic Solution for Riccati Matrix Delay Differential Equation using Coupled Homotopy-Adomian Approach," Baghdad Science Journal: Vol. 19: Iss. 4, Article 8.
DOI: https://doi.org/10.21123/bsj.2022.19.4.0800