TITLE:
Parametrization to Improve the Solution Accuracy of Problems Involving the Bi-Dimensional Dirac Delta in the Forcing Function
AUTHORS:
Enrique J. Chicurel-Uziel, Francisco A. Godínez
KEYWORDS:
Dirac Delta, Partial Differential Equations, Parametric Representation
JOURNAL NAME:
Journal of Applied Mathematics and Physics,
Vol.3 No.9,
September
23,
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.