Laplace Transform

Sever Angel Popescu and Marilena Jianu
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Sever Angel Popescu: Technical University of Civil Engineering of Bucharest, Department of Mathematics and Computer Science
Marilena Jianu: Technical University of Civil Engineering of Bucharest, Department of Mathematics and Computer Science

Chapter Chapter 6 in Advanced Mathematics for Engineers and Physicists, 2022, pp 305-358 from Springer

Abstract: Abstract In this chapter we present another important mathematical tool—the Laplace transform. As the Fourier transform, the Laplace transform simplifies the solution of linear differential equations by transforming them into algebraic equations. It is also applied for solving partial differential equations—in Chap. 7 we use the Laplace transform for the solution of the finite vibrating string equation. By using the Heaviside step function or the Dirac delta function, the Laplace transform can be applied in problems where the free term has some discontinuities or represents short impulses.

Date: 2022
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DOI: 10.1007/978-3-031-21502-5_6

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