M. H. Hamdan, D. C. Roach, "Puiseux and Taylor Series of the Einstein Functions and Their Role in the Solution of Inhomogeneous Airy’s Equation," WSEAS Transactions on Mathematics, vol. 21, pp. 395-402, 2022, DOI:10.37394/23206.2022.21.47
M. H. Hamdan, D. C. Roach. Puiseux and Taylor Series of the Einstein Functions and Their Role in the Solution of Inhomogeneous Airy’s Equation.
WSEAS Transactions on Mathematics. 2022;21:395-402. 10.37394/23206.2022.21.47
WSEAS Transactions on Mathematics
Print ISSN: 1109-2769, E-ISSN: 2224-2880
Volume 21, 2022
Puiseux and Taylor Series of the Einstein Functions and Their Role in the Solution of Inhomogeneous Airy’s Equation
Authors: ,
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.
Pages: 395-402 WSEAS Transactions on Mathematics, ISSN / E-ISSN: 1109-2769 / 2224-2880, Volume 21, 2022, Art. #47 DOI: 10.37394/23206.2022.21.47
×
Citation Tools