پیوندهای مفید
آمار
| تعداد نشریات | 21 |
| تعداد شمارهها | 685 |
| تعداد مقالات | 9,958 |
| تعداد مشاهده مقاله | 70,843,548 |
| تعداد دریافت فایل اصل مقاله | 62,336,115 |
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 | ||
|
[1] S. Abbasbandy and T. Allahviranloo, Numerical solutions of fuzzy differential equations by Taylor method, Computational Methods in Applied Mathematics. 2 (2002) 113-124. [2] T. Allahviranloo, N.A. Kiani, and M. Barkhordari, Toward the existence and the uniqueness of solutions of second order fuzzy differential equations, Inf. Sci. 179 (2009) 1207-1215. [3] T. Allahviranloo, N. Ahmady, and E. Ahmady, Numerical solution of fuzzy differential equations by predictor-corrector method, Inf. Sci. 177 (2007) 1633-1647. [4] T. Allahviranloo, M. Shafiee, and Y. Nejatbakhsh, A note on fuzzy differential equations and the extension principle, Inf. Sci. 179 (2009) 2049-2051. [5] M. Friedman, M. Ma, and A. Kandel, Numerical solutions of fuzzy differential and integral equations, In Fuzzy Modeling and Dynamics, Fuzzy Sets Syst. 106.1 (1999) 35-48. [6] A. Kandel and WJ. Byatt, Fuzzy differential equations, Proceedings of the International Conference on Cybernetics and Society, 1978, pp. 1213-1216. [7] A. Khastan, I. Perfilieva, and Z. Alijani, A new fuzzy approximation method to Cauchy problems by fuzzy transform, Fuzzy Sets Syst. 288 (2016) 75-95. [8] J. Y. Park, Y. C. Kwun, and J. U. Jeong, Existence of solutions of fuzzy integral equations in Banach spaces, Fuzzy Sets and Syst. 72(3) (1995) 373-378. [9] S. Pederson and M. Sambandham, Numerical solution to hybrid fuzzy systems, Math Comput. Model. 45 (2007) 1133-1144. [10] M.L. Puri and D. Ralescu, Fuzzy random variables, J. Math. Anal. Appl. 114 (1986) 409-422. [11] M.L. Puri and D. Ralescu, Differential for fuzzy function, J. Math. Anal. Appl. 91 (1983) 552-558. [12] I. Perfilieva, M. Dankova, and B. Bede, Towards a higher degree F-transform, Fuzzy Sets Syst. 180 (2011) 3-19. [13] F. Rabiei, F. Ismail, A. Ahmadian, and S. Salahshour, Numerical Solution of Second-Order Fuzzy Differential Equation Using Improved Runge-Kutta Nystrom Method, Mathematical Problems in Engineering 2013 (2013) 1-11. | ||
|
آمار تعداد مشاهده مقاله: 16,268 تعداد دریافت فایل اصل مقاله: 9,713 |
||