Study of fractional telegraph equation via Shehu homotopy perturbation method

Abstract

Abstract The iterative Shehu transform homotopy perturbation method (HPM) is used in the present research to address fractional telegraph equations in different dimensions, respectively. Considered equations particularly stand out in the field of material science and certain other significant fields. A graphic comparison of estimated and actual results is used to assess the validity and efficacy of the suggested technique. Graphs show a match of approximate to exact findings. Without any linearization or discretization, the iterative Shehu HPM offers a reliable and efficient way to deliver approximations and accurate outcomes that is also error-free. The development of numerical regimes based on discretization is difficult and expensive computationally. Additionally, discretization error is produced as a result of discretization in purely numerical regimes. The present regime has produced robust results and is time-efficient. Also, no discretization error was produced.