TY - JOUR
ID - 9947
TI - Numerical solution of fractional Riesz space telegraph equation
JO - Computational Methods for Differential Equations
JA - CMDE
LA - en
SN - 2345-3982
AU - Javidi, Mohammad
AU - Ahmadian Asl, Malek
AU - Dastmalci Saei, Farhad
AU - Mahmoudi, Yaghoub
AD - Faculty of Mathematical Sciences,
University of Tabriz, Tabriz, Iran.
AD - Departement of Mathematics,
Islamic Azad University Tabriz Branch, Tabriz, Iran.
Y1 - 2021
PY - 2021
VL - 9
IS - 1
SP - 187
EP - 210
KW - Fractional telegraph equation
KW - Polynomial approximation
KW - Riemann-Liouville fractional derivative
KW - Riesz fractional equation
KW - Discretization
DO - 10.22034/cmde.2019.33771.1551
N2 - In this paper, a numerical method based on polynomial approximation is presented for the Riesz fractional telegraph equation. First, a system of fractional differential equations are obtained from the telegraph equation with respect to the time variable by using the method of lines. Then a new numerical algorithm, as well as its modification for solving fractional differential equations (FDEs) based on the polynomial interpolation, is proposed. The algorithms are designed to estimate to linear fractional systems. The convergence order and stability of the fractional order algorithms are proved. At the end three examples with known exact solutions are chosen. Numerical results show that accuracy of present scheme is of order O(∆t 2 ).
UR - https://cmde.tabrizu.ac.ir/article_9947.html
L1 - https://cmde.tabrizu.ac.ir/article_9947_6fee74e3c4230465d2608652cf25aa1b.pdf
ER -