#### Authors:

Inderdeep Singh,Umesh Kumari,#### DOI NO:

https://doi.org/10.26782/jmcms.spl.11/2024.05.00002#### Keywords:

Telegraph equation,Homotopy Perturbation method,Elzaki transform,numerical problems,#### Abstract

*This study investigates the solution of complex mathematical problems of two-dimensional and three-dimensional telegraph equations. To solve these equations, we use a comprehensive approach that combines the Elzaki transform and the homotopy perturbation method (HPM) and provides a systematic and efficient means of obtaining exact solutions to these problems. Our methodology is rigorously tested in both 2 and 3 dimensions, demonstrating its effectiveness.*

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