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

Enrique J. Chicurel-Uziel; Francisco A. Godínez

doi:10.4236/jamp.2015.39144

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Journal of Applied Mathematics and Physics > Vol.3 No.9, September 2015

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

Enrique J. Chicurel-Uziel, Francisco A. Godínez

Instituto de Ingeniería, Universidad Nacional Autónoma de México, México D.F., México.

DOI: 10.4236/jamp.2015.39144 PDF HTML XML 3,197 Downloads 3,469 Views Citations

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.

Keywords

Dirac Delta, Partial Differential Equations, Parametric Representation

Share and Cite:

Chicurel-Uziel, E. and Godínez, F. (2015) Parametrization to Improve the Solution Accuracy of Problems Involving the Bi-Dimensional Dirac Delta in the Forcing Function. Journal of Applied Mathematics and Physics, 3, 1168-1177. doi: 10.4236/jamp.2015.39144.

Conflicts of Interest

The authors declare no conflicts of interest.

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