پیوندهای مفید
آمار
| تعداد نشریات | 31 |
| تعداد شمارهها | 461 |
| تعداد مقالات | 4,056 |
| تعداد مشاهده مقاله | 6,807,305 |
| تعداد دریافت فایل اصل مقاله | 4,550,312 |
A weighted algorithm to solve the conformable time fractional reaction-diffusion-convection problem | ||
| Journal of Hyperstructures | ||
| دوره 7، شماره 2، اسفند 2018، صفحه 135-148 اصل مقاله (827.17 K) | ||
| نوع مقاله: Research Paper | ||
| شناسه دیجیتال (DOI): 10.22098/jhs.2018.2697 | ||
| نویسنده | ||
| A. Mohammadpour* | ||
| Department of Mathematics, Babol branch, Islamic Azad University, Babol, Iran. | ||
| چکیده | ||
| A simple algorithm is applied in this paper to solve the conformable time fractional reaction-diffusion-convection problem (CTFRDCP) with varriable coefficients. The aim of applying this algorithm is to overcome the inability of the differential transform method to solve such problems. The differential transform method is implemented twice. Once with initial condition, again with boundary conditions. A convex combination of two solutions is considered as solution of the problem. | ||
| کلیدواژهها | ||
| Time fractional heat conduction problem؛ Fractional differential transform method | ||
| مراجع | ||
|
[1] Y.Z. Povstenko, Fractional heat conduction equation and associated thermal stress, J. Therm. Stresses, 28 (2005) 83-102. [2] D. Sierociuk, A. Dzielinski, G. Sarwas, I. Petras, I. Podlubny, T. Skovranek, Modelling heat transfer in heterogeneous media using fractional calculus, Philos.Trans. R. Soc. A, 371 (2013) 1-10. [3] Y. Zhou, Basic Theory of Fractional Differential Equations, World Scientic, 2014. [4] F. Mainardi, Y. Luchko, G. Pagnini, The fundamental solution of the space-time fractional diffusion equation, Fract. Calc. Appl. Anal., 4 (2) (2001) 153-192. [5] P. Zhuang, F. Liu, Implicit difference approximation for the time fractional dif-fusion equation, J. Appl. Math. Comput., 22 (3) (2006) 87-99. [6] S. Momani, Z. Odibat, Numerical solutions of the space-time fractional advec-tiondispersion equation, Numer. Methods Partial Differ. Equ., 24 (6) (2008)1416-1429. [7] A. Taghavi, A. Babaei, A. Mohammadpour, A coupled method for solving a class of time fractional convection-diffusion equations with variable coefficients, Comp. Math. Modeling, 28 (1) (2017). [8] A. babaei, A new accurate approach to solve the Cauchy problem of the Kolmogorov-PetrovskiiPiskunov equations, Int. J. App. Comp. Math., (2017) 1-14. [9] A. babaei, A. Mohammadpour, Solving an inverse heat conduction problem by reduced differential transform method, New Trends in Mathematical Sciences, 3 (3) (2015) 65-70. [10] J. K. Zhou, Differential transform and its applications for electrical circuits, Huazhong University Press, Wuhan, China, 1986. [11] C.K. Chen, S.H. Ho, Solving partial dierential equations by two-dimesional dier-ential transform method, Appl. Math. and Comput., 106 (1999) 171-179. [12] Y. Keskin, G. Oturanc, Reduced Differential Transform Method for partial dif-ferential equations, Inter. Jour. Nonl. Scie. Num. Simu., 6 (10) (2009) 741-749. [13] T. Abdeljawad, On conformable fractional calculus, J. Comput. Appl. Math., 279 (2015) 57-66. [14] R. Khalil, M. Al Horani, A. Yousef, M. Sababheh, A new definition of fractional derivative, J. Comput. Appl. Math. 264 (2014) 65-70. [15] Shidfar, A., Garshasbi, M., A weighted algorithm based on Adomian decomposi-tion method for solving an special class of evolution equations, Commun. Nonlinear Sci. Numer. Simulat., 14 (2009) 1146-1151. | ||
|
آمار تعداد مشاهده مقاله: 163 تعداد دریافت فایل اصل مقاله: 196 |
||