Department of Mathematics, College of Science, University of Basrah, Basrah, Iraq.
10.22034/cmde.2025.66790.3154
Abstract
In the present research, a quartic B-spline method is used for the solution of time-fractional telegraph equations. In the rst step the Caputo fractional derivative is applied to the time-fractional telegraph equation combined with nite di erence for time discretization, which reduces the problem to algebraic equations, which are solved. Finally, the numerical method proposed is demonstrated to be stable without any conditions by using the Fourier method. The error norms L2 and L1 are calculated in order to test accuracy. The two tested examples exhibited the obtained results that the method is an effective numerical scheme to solve fractional equations.
Taha, B. A. and Nashmi, F. K. (2026). Quartic B-spline method for solving time fractional telegraph equation. Computational Methods for Differential Equations, (), -. doi: 10.22034/cmde.2025.66790.3154
MLA
Taha, B. A., and Nashmi, F. K.. "Quartic B-spline method for solving time fractional telegraph equation", Computational Methods for Differential Equations, , , 2026, -. doi: 10.22034/cmde.2025.66790.3154
HARVARD
Taha, B. A., Nashmi, F. K. (2026). 'Quartic B-spline method for solving time fractional telegraph equation', Computational Methods for Differential Equations, (), pp. -. doi: 10.22034/cmde.2025.66790.3154
CHICAGO
B. A. Taha and F. K. Nashmi, "Quartic B-spline method for solving time fractional telegraph equation," Computational Methods for Differential Equations, (2026): -, doi: 10.22034/cmde.2025.66790.3154
VANCOUVER
Taha, B. A., Nashmi, F. K. Quartic B-spline method for solving time fractional telegraph equation. Computational Methods for Differential Equations, 2026; (): -. doi: 10.22034/cmde.2025.66790.3154
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