Solving Fractional Telegraph Equation via Yang Decomposition Method
Year: 2024
Type: article
Abstract: In this study, we introduced a novel scheme to attain approximate and closed-form solutions of fractional telegraph equations, which belong to the most consequential amplitude equations in physics. The Yang transforms (YT) and the Adomian decomposition method (ADM) is combined in the proposed method. We call it the Yang Adomian decomposition method (YDM). Some examples are given to illustrate the accuracy of the numerical results by YDM. As a result, YDM demonstrates that it is a useful and simple mathematical tool for getting approximate and exact analytical solutions to linear-nonlinear fractional telegraph equations (FTEs) of the given kind. The convergence and absolute error analysis of the series solutions is also offered.
Authors: Salem Abdulwahed, Haleh Tajadodi
Institutions: Thi Qar University, University of Sistan and Baluchestan
Language: English
Subfield: Modeling and Simulation
Field: Mathematics
Domain: Physical Sciences
Open Access status: hybrid
OpenAlex ID: W4404892775