2018/08/03 by Muhammad Yaseen, Muhammad Abbas, Yaseen, Muhammad +1
Mathematics · #Differential Equations and Numerical Methods #FOS: Mathematics #Fractional Differential Equations Solutions #Iterative Methods for Nonlinear Equations #Numerical Analysis (math.NA)
paper · pdf · doi:10.48550/arxiv.1808.01158
openalex publication_date 2018/08/03 · openalex created_date 2025/10/10 · openalex updated_date 2026/07/28
In this paper, an efficient numerical technique for the time-fractional\ntelegraph equation is proposed. The aim of this paper is to use a relatively\nnew type of B-spline called the cubic trigonometric B-splines for the proposed\nscheme. This technique is based on finite difference formulation for the Caputo\ntime-fractional derivative and cubic trigonometric B-splines based technique\nfor the derivatives in space. A stability analysis of the scheme is set up to\naffirm that the errors do not amplify. Computational experiments are carried\nout in addition to verify the theoretical analysis. Numerical results are\ncompared with some existing techniques and it is concluded that the present\nscheme is more accurate and effective.\n