Puiseux and Taylor Series of the Einstein Functions and Their Role in the Solution of Inhomogeneous Airy’s Equation-Reference-Cited by-同舟云学术

Puiseux and Taylor Series of the Einstein Functions and Their Role in the Solution of Inhomogeneous Airy’s Equation

Published:2022-06-15 Issue: Volume:21 Page:395-402
ISSN:2224-2880
Container-title:WSEAS TRANSACTIONS ON MATHEMATICS
language:en
Short-container-title:

Author:

Hamdan M. H.¹,Roach D. C.²

Affiliation:

1. Department of Mathematics and Statistics University of New Brunswick 100 Tucker Park Road, Saint John, N.B., E2L 4L5 CANADA

2. Department of Engineering University of New Brunswick 100 Tucker Park Road, Saint John, N.B., E2L 4L5 CANADA

Abstract

The Einstein functions in generalized Puiseux and Taylor series are used as forcing functions in Airy’s inhomogeneous equation, and particular and general solutions are obtained. Comparison are made with solutions obtained using the Nield-Kuznetsov functions’ approach. For each of the Einstein’s functions, the standard Nield-Kuznetsov function of the second kind is expressed in terms of Bessel functions. Computations and graphs in this work were produced using Wolfram Alpha.

Publisher

World Scientific and Engineering Academy and Society (WSEAS)

Subject

General Mathematics

Reference12 articles.

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5. Airy, G.B., On the Intensity of Light in the Neighbourhood of a Caustic, Trans. Cambridge Phil. Soc., Vol. 6, 1838, pp. 379- 401.