TY - JOUR
ID - 4503
TI - THE NUMERICAL SOLUTION OF THE BAGLEY-TORVIK EQUATION BY EXPONENTIAL INTEGRATORS
JO - Scientia Iranica
JA - SCI
LA - en
SN - 1026-3098
AU - ESMAEILI, SHAHROKH
AD - Department of Applied Mathematics, University of Kurdistan, P.O. Box 416, Sanandaj, Iran
Y1 - 2017
PY - 2017
VL - 24
IS - 6
SP - 2941
EP - 2951
KW - fractional derivatives
KW - fractional differential equations
KW - Bagley-Torvik equation
KW - Mittag-Leffler function
KW - exponential integrators
DO - 10.24200/sci.2017.4503
N2 - This paper presents a family of computational schemes for the solution of the Bagley-Torvik equation. The schemes are based on the reformulation of the original problem into a system of fractional differential equations of order 1/2. Then, suitable exponential integrators are devised to solve the resulting system accurately. The attainable order of convergence of exponential integrators for solving the fractional problem is studied. Theoretical ndings are validated by means of some numerical examples. The advantages of the proposed method are illustrated by comparing several of the existing methods
UR - https://scientiairanica.sharif.edu/article_4503.html
L1 - https://scientiairanica.sharif.edu/article_4503_0c141d0bd1ae1bd6a6815d26cc7eeaeb.pdf
ER -