The discrete (noncontinuous) and the continuous (non-discrete) Laplace transforms are effective tools to solve linear difference equations and differential equations (ordinary or partial) with constant coefficients, respectively. The present work applies the continuous (non-discrete) Laplace transform on a system of linear partial differential equations (PDEs) describing a solar collector. The analytic solution is determined in explicit form in terms of some entire special functions. Numerical calculations are accomplished and illustrated through graphs and tables.

non-discrete Laplace transform, analytic solution, solar energy.

Received: November 12, 2022; Revised: December 10, 2022; Accepted: December 24, 2022; Published: December 30, 2022

How to cite this article: Hind K. Al-Jeaid, Application of the continuous (non-discrete) Laplace transform for solving a mathematical model in solar energy, Advances and Applications in Discrete Mathematics 36 (2023), 69-84. http://dx.doi.org/10.17654/0974165823005

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

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