On The Nield-Koznetsov Integral Function and Its Application to Airys Inhomogeneous Boundary Value Problem

Authors

  • S.M. Alzahrani University of New Brunswick, P.O. Box 5050, Saint John, New Brunswick, CANADA E2L 4L5
  • M.S. Abu Zaytoon University of New Brunswick, P.O. Box 5050, Saint John, New Brunswick, CANADA E2L 4L5
  • T.L. Alderson University of New Brunswick, P.O. Box 5050, Saint John, New Brunswick, CANADA E2L 4L5
  • I. Gadoura University of New Brunswick, P.O. Box 5050, Saint John, New Brunswick, CANADA E2L 4L5
  • M.H. Hamdan University of New Brunswick, P.O. Box 5050, Saint John, New Brunswick, CANADA E2L 4L5

DOI:

https://doi.org/10.24297/jap.v11i5.370

Keywords:

Nield-Kuznetsov Function., Airys Boundary Value Problem

Abstract

In this work, we provide a solution to a two-point boundary value problem that involves an inhomogeneous Airys differential equation with a variable forcing function. The solution is expressed in terms of the recently introduced Nield-Koznetsov integral function, Ni(x), and another conveniently defined integral function, Ki(x). The resulting expressions involving these integral functions are then evaluated using asymptotic and ascending series.

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Author Biographies

S.M. Alzahrani, University of New Brunswick, P.O. Box 5050, Saint John, New Brunswick, CANADA E2L 4L5

Dept. of Mathematical Sciences

M.S. Abu Zaytoon, University of New Brunswick, P.O. Box 5050, Saint John, New Brunswick, CANADA E2L 4L5

Dept. of Mathematical Sciences

T.L. Alderson, University of New Brunswick, P.O. Box 5050, Saint John, New Brunswick, CANADA E2L 4L5

Dept. of Mathematical Sciences

M.H. Hamdan, University of New Brunswick, P.O. Box 5050, Saint John, New Brunswick, CANADA E2L 4L5

Dept. of Mathematical Sciences

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Published

2016-01-05

How to Cite

Alzahrani, S., Abu Zaytoon, M., Alderson, T., Gadoura, I., & Hamdan, M. (2016). On The Nield-Koznetsov Integral Function and Its Application to Airys Inhomogeneous Boundary Value Problem. JOURNAL OF ADVANCES IN PHYSICS, 11(5), 3265–3274. https://doi.org/10.24297/jap.v11i5.370

Issue

Vol. 11 No. 5 (2016)

Section

Articles

License

Creative Commons License All articles published in Journal of Advances in Linguistics are licensed under a Creative Commons Attribution 4.0 International License.