TY  - JOUR
TI  - Laplace transform collocation method for telegraph equations defined by Caputo derivative
AB  - The purpose of this paper is to find approximate solutions to the fractional telegraph differential equation (FTDE) using Laplace transform collocation method (LTCM). The equation is defined by Caputo fractional derivative. A new form of the trial function from the original equation is presented and unknown coefficients in the trial function are computed by using LTCM. Two different initial-boundary value problems are considered as the test problems and approximate solutions are compared with analytical solutions. Numerical results are presented by graphs and tables. From the obtained results, we observe that the method is accurate, effective, and useful.
AU  - MODANLI, Mahmut
AU  - KOKSAL, Mehmet Emir
DO  - 10.53391/mmnsa.2022.014
PY  - 2022
JO  - Mathematical Modelling and Numerical Simulation with Applications
VL  - 2
IS  - 3
SN  - 2791-8564
SP  - 177
EP  - 186
DB  - TRDizin
UR  - http://search/yayin/detay/1129474
ER  -