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The numerical solution of the nonlinear system of stiff differential equations by the modified matrix-exponential method | ||
| International Journal of Nonlinear Analysis and Applications | ||
| مقاله 464، دوره 15، شماره 4، تیر 2024، صفحه 339-347 اصل مقاله (482.96 K) | ||
| نوع مقاله: Research Paper | ||
| شناسه دیجیتال (DOI): 10.22075/ijnaa.2023.30796.4496 | ||
| نویسندگان | ||
| Mohammad Fattahi* ؛ Mashallah Matinfar | ||
| Department of Mathematics, Science of Mathematics Faculty, University of Mazandaran, Babolsar, Iran | ||
| تاریخ دریافت: 05 اسفند 1401، تاریخ بازنگری: 10 خرداد 1402، تاریخ پذیرش: 21 خرداد 1402 | ||
| چکیده | ||
| In this paper, the modified matrix exponential (MME) method under zero-order hold (ZOH) assumption, is applied to solve systems of stiff ordinary differential equations. Some examples are given to illustrate the accuracy and effectiveness of the method. We compare our results with results obtained by matrix exponential (ME) method and by the Matlab ode23 solver. | ||
| کلیدواژه‌ها | ||
| Modified matrix exponential؛ Matrix exponential؛ Abel equation of the second kind؛ Nonlinear differential equations؛ Jacobian matrix | ||
| مراجع | ||
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