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Solution of Riccati matrix differential equation using new approach of variational iteration method | ||
| International Journal of Nonlinear Analysis and Applications | ||
| دوره 12، شماره 2، بهمن 2021، صفحه 1633-1640 اصل مقاله (217.03 K) | ||
| نوع مقاله: Research Paper | ||
| شناسه دیجیتال (DOI): 10.22075/ijnaa.2021.5292 | ||
| نویسندگان | ||
| Fadhel S Fadhel* 1؛ Huda Omran Altaie2 | ||
| 1Department of Mathematics and Computer Applications, College of Science, Al-Nahrain University, Iraq. | ||
| 2Department of Mathematics, College of Education For Pure Scineces, Ibn Al-Haitham, University of Baghdad, Iraq. | ||
| تاریخ دریافت: 21 فروردین 1400، تاریخ بازنگری: 31 اردیبهشت 1400، تاریخ پذیرش: 27 خرداد 1400 | ||
| چکیده | ||
| To obtain the approximate solution to Riccati matrix differential equations, a new variational iteration approach was proposed, which is suggested to improve the accuracy and increase the convergence rate of the approximate solutons to the exact solution. This technique was found to give very accurate results in a few number of iterations. In this paper, the modified approaches were derived to give modified solutions of proposed and used and the convergence analysis to the exact solution of the derived sequence of approximate solutions is also stated and proved. Two examples were also solved, which shows the reliability and applicability of the proposed approach. | ||
| کلیدواژه‌ها | ||
| Riccati matrix differential equation؛ Variational iteration method؛ Differential equation؛ He's method؛ Exact solution؛ Approximate solutions. | ||
| مراجع | ||
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