TY - JOUR
ID - 16102
TI - A numerical approximation for the solution of a time-fractional telegraph equation by the moving least squares approach
JO - Computational Methods for Differential Equations
JA - CMDE
LA - en
SN - 2345-3982
AU - Hajinezhad, Haniye
AU - Soheili, Ali R.
AD - Department of Mathematics, Payame Noor University, Tehran, Iran.
AD - Department of Applied Mathematics, Faculty of Mathematical Sciences, Ferdowsi University of Mashhad, Mashhad, Iran.
Y1 - 2023
PY - 2023
VL - 11
IS - 4
SP - 716
EP - 726
KW - Time-Fractional Telegraph Equation
KW - Moving least squares method
KW - Stability
KW - Convergence
DO - 10.22034/cmde.2023.55070.2286
N2 - This paper focuses on the numerical solution of the time-fractional telegraph equation in Caputo sense with $1 < \beta < 2$. The time-fractional telegraph equation models neutron transport inside the core of a nuclear reactor. The proposed numerical solution consists of two stages. First, the time-discretized scheme of this equation is obtained by the Crank-Nicolson method. The stability and convergence of results from the semi-discretized scheme are presented. In the second stage, the numerical approximation of the unknown function at specific points is achieved through the collocation method using the moving least square method. The numerical experiments analyze the impact of some parameters of the proposed method.
UR - https://cmde.tabrizu.ac.ir/article_16102.html
L1 - https://cmde.tabrizu.ac.ir/article_16102_2ee8e45582c982ffdc5c8403a898f19e.pdf
ER -