Numerical solution for fractional model of telegraph equation by using q-HATM
Provides an analytical technique for solving fractional telegraph equations, but the contribution is incremental as it applies an existing method to a known problem.
The paper applies the q-homotopy analysis transform method (q-HATM) to solve fractional telegraph equations, demonstrating rapid convergence to exact solutions in a short domain.
The pivotal aim of the present work is to demonstrate an efficient analytical technique, called q-homotopy analysis transform method (q-HATM) in order to analyse a fractional model of telegraph equations. Numerical examples are illustrated to examine the efficiency of the proposed technique. The numerical solutions are obtained in the form of a series solution. The proposed method manipulates and controls the series solution, which rapidly converges to the exact solution in a short admissible domain in an efficient manner.