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Numerical solution of second order IVP by fuzzy transform method | ||
| International Journal of Nonlinear Analysis and Applications | ||
| مقاله 12، دوره 12، شماره 1، مرداد 2021، صفحه 143-156 اصل مقاله (136.06 K) | ||
| نوع مقاله: Research Paper | ||
| شناسه دیجیتال (DOI): 10.22075/ijnaa.2020.21716.2289 | ||
| نویسندگان | ||
| Mostafa Ghobadi1؛ Mashallah Matinfar1؛ Tofigh Allahviranloo* 2 | ||
| 1Department of Mathematics, Science of Mathematics Faculty, University of Mazandaran, Babolsar, Iran. | ||
| 2Faculty of engineering and natural sciences, Bahcesehir university, Istanbul, Turkey. | ||
| تاریخ دریافت: 12 آبان 1399، تاریخ بازنگری: 15 آذر 1399، تاریخ پذیرش: 22 آذر 1399 | ||
| چکیده | ||
| In this paper, we employed fuzzy transforms to present a new method for solving the problem through second-order fuzzy initial value. The advantage of the fuzzy transform method is that, unlike other methods (e.g. high-order fuzzy Taylor series), it does not require any higher-order derivative calculation, thus reducing computational cost. In two examples, the results of the newly proposed method were examined against several conventional methods, indicating the more desirable performance of the new method. | ||
| کلیدواژهها | ||
| Differential equations؛ Second order initial value problem (IVP)؛ Fuzzy transform method | ||
| مراجع | ||
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