A robust study via semi-analytical approach for fractional telegraph equation

The present study uses iterative Shehu Transform Adomian Decomposition Method to tackle fractional Telegraph equation in 1D, 2D, and 3D, respectively. These equations are particularly notable in field of material science and a few other related fields. A graphical compatibility of approx. and exact results is used to test the efficacy and validity of proposed technique. 2D and 3D graphs are provided to show a compatible technique of approximate-exact findings. Without any linearization or discretization, iterative Shehu ADM methodology offers a reliable and efficient way to provide approximations and accurate solutions that are error-free. The theoretical and numerical convergence aspects are also validated in this study. It is noticed that on increasing number of grid points, the L∞ error norm got reduced which is a valid claim for numerical convergence.