Derakhshan, M. H.Kumar, PushpendraSalahshour, Soheil2024-05-252024-05-2520242195-268X2195-269810.1007/s40435-024-01408-52-s2.0-85187494091https://doi.org/10.1007/s40435-024-01408-5https://hdl.handle.net/20.500.14517/1195Kumar, Pushpendra/0000-0002-7755-2837In this paper, a high-order and fast numerical method based on the space-time spectral scheme is obtained for solving the space-time fractional telegraph equation. In the proposed method, for discretization of temporal and spatial variables, we consider two cases. We use the Legendre functions for discretization in time. To obtain the full discrete numerical approach, we use a Fourier-like orthogonal function. The convergence and stability analysis for the presented numerical approach is studied and analyzed. Some numerical examples are given for the effectiveness of the numerical approach.eninfo:eu-repo/semantics/closedAccessSpectral schemeDistributed-order fractional operatorLegendre functionStability and convergenceArticleQ2WOS:0011809362000010