The goal of this research paper is to present a new hybrid method based on Laplace transform and optimal homotopy asymptotic method (LT-OHAM) for solving partial differential equations. In particular, we focus our attention to a number of standard partial differential equations (wave and heat), and present in detail our hybrid method for obtaining their solutions. Numerical experiments are considered to confirm the validity of this method. Comparisons are made with exact solutions. The results are in good agreement with the exact results.

Laplace transform, wave equation, heat equation, optimal homotopy asymptotic method

Received: August 26, 2024; Revised: September 23, 2024; Accepted: October 15, 2024; Published: November 30, 2024

How to cite this article: Mohammad Almousa, Rula Shraideh, Qutebah Ali Almomani, Mustafa Husam Alomari, Aymen Mohammed Salem Batiha, Sharaf Aldeen Omar Albteiha and Ahmad Esmaeel Ahmad Athamnah, The combined Laplace transform and optimal homotopy asymptotic method for solving wave and heat equations, JP Journal of Heat and Mass Transfer 37(6) (2024), 739-758. https://doi.org/10.17654/0973576324047

This Open Access Article is Licensed under Creative Commons Attribution 4.0 International License

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