Journal of Engineering and Applied Sciences

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Deriving the General Laplace Inversion Formula using Complex Integration Results and its Applications in Solving Partial Differential Equations

Maan A. Rasheed and Mustafa A. Sabri
Page: 3455-3462 | Received 21 Sep 2022, Published online: 21 Sep 2022

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Abstract

This study is concerned with Laplace transform and its applications to partial differential equations. We derive the general Laplace inversion formula using some complex analysis results. Furthermore, we apply this formula to find the formal solution of a heat conduction problem which is heat equation with Neumann boundary conditions. We conclude that Laplace transforms with the inversion formula provide a potent technique for solving partial differential equations.

How to cite this article:

Maan A. Rasheed and Mustafa A. Sabri. Deriving the General Laplace Inversion Formula using Complex Integration Results and its Applications in Solving Partial Differential Equations.
DOI: https://doi.org/10.36478/jeasci.2019.3455.3462
URL: https://www.makhillpublications.co/view-article/1816-949x/jeasci.2019.3455.3462