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Parametrization to Improve the Solution Accuracy of Problems Involving the Bi-Dimensional Dirac Delta in the Forcing Function

Authors :
Francisco A. Godínez
Enrique Chicurel-Uziel
Source :
Journal of Applied Mathematics and Physics. :1168-1177
Publication Year :
2015
Publisher :
Scientific Research Publishing, Inc., 2015.

Abstract

The representation of the Dirac delta, obtained by differentiating the parametric equation of the unit step with a riser, is used to solve two examples referring to problems of a different physical nature, each with the product of two deltas as a forcing function. Each problem was solved by an entirely different procedure. In comparison with non-parametric solutions, the present solutions are both more accurate and truer representations of the physics involved.

Details

ISSN :
23274379 and 23274352
Database :
OpenAIRE
Journal :
Journal of Applied Mathematics and Physics
Accession number :
edsair.doi...........1df6b92c6bb6bfc0f8b8d20744753848
Full Text :
https://doi.org/10.4236/jamp.2015.39144