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Full-Text Articles in Other Mathematics
Laplace, Finite Fourier Sine And Cosine, Transformations, Jan Eugene Wynn
Laplace, Finite Fourier Sine And Cosine, Transformations, Jan Eugene Wynn
All Graduate Plan B and other Reports, Spring 1920 to Spring 2023
The Laplace and finite Fourier sine transforms can be used to solve certain boundary value problems. Also the Laplace transform is a useful took in solving some integral and integrodifferential equations. This report is composed of transform solutions of seventeen such applied problems, while the author's first report is focused towards the theoretical aspect of these transforms.
Several different types of problems are solved in this report. Among these are Bessel's classical differential equation of index n, two electrical circuit problems, a beam problem, a vibrating string problem, a heat flow problem, and a temperature gradient problem.
One of the …
The Solution Of Boundary Value Problems By Use Of The Laplace Transformation As Compared With Classical Methods, Dan W. Stoddard
The Solution Of Boundary Value Problems By Use Of The Laplace Transformation As Compared With Classical Methods, Dan W. Stoddard
All Graduate Theses and Dissertations, Spring 1920 to Summer 2023
The purpose of this paper is to present a study of different methods of solving certain boundary value problems. In particular it will be concerned with solutions by classical methods and by operational methods. Of the various operational methods that may be considered, the Laplace transformation appears to be the best(1) and will be used in this paper.
In the 1951 Encyclopedia Americana Annual is this report on the activities in applied mathematics for the previous year:
Progress was made on the general problem of finding the eigenvalues of matrices and systems of differential equations. Considerable effort was also …