Open AccessApplications of Laplace Transform in science and technology
Author(s) -
Ashok S Kokane,
Balaji Raghunath Wadkar
Publication year - 2021
Publication title -
journal of physics. conference series
Language(s) - English
Resource type - Journals
SCImago Journal Rank - 0.21
H-Index - 85
eISSN - 1742-6596
pISSN - 1742-6588
DOI - 10.1088/1742-6596/1913/1/012127
Subject(s) - laplace transform , laplace transform applied to differential equations , bessel function , two sided laplace transform , mellin transform , inverse laplace transform , green's function for the three variable laplace equation , laplace's equation , mathematics , differential equation , function (biology) , simple (philosophy) , mathematical analysis , calculus (dental) , fourier transform , fractional fourier transform , fourier analysis , philosophy , epistemology , evolutionary biology , biology , medicine , dentistry
In the present paper, we discussed applications of Laplace Transform to solve the equations that occur in mathematical modeling of various engineering problems like simple electric circuit, in analysis and modeling of Mechanical system, in population growth, in conduction of heat equation (with example), in Bessel’s function and in economics. We interpreted a relation between beta and gamma function and applications to simultaneous differential equations with suitable example using Laplace Transform Method.