In this work, we formulate two new four-point explicit group iterative schemes namely fractional explicit group (FEG) and fractional explicit de-coupled group (FEDG) iterative schemes in solving two-dimensional second-order time-fractional hyperbolic telegraph differential equation subject to specific initial and Dirichlet boundary conditions. Both explicit group numerical iterative schemes derived from the combination of standard and rotated (skewed) five-point Crank-Nicolson finite difference approximations. The results, derived from the conducted numerical experimentations, show that FEDG method has significantly least computational efforts in terms of execution of CPU-timings when compared with other iterative schemes in this paper.
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