Inhomogeneous Airy’s and Generalized Airy’s Equations with Initial and Bounday Conditions

Author:

Hamdan M.H.1,Alzahrani S.M.2,Zaytoon M.S. Abu3,Dajani S. Jayyousi4

Affiliation:

1. Department of Mathematics and Statistics University of New Brunswick, Saint John, N.B., E2L 4L5 Canada

2. Department of Mathematics, Umm Al-Qura University, Al-Qunfudhah Saudi Arabia

3. Department of Mathematics, University of Petra, Amman Jordan

4. Department of Mathematics and Computer Science Lake Forest College, Lake Forest, IL 60045 USA

Abstract

Inhomogeneous Airy’s and Generalized Airy’s equations with initial and boundary date are considered in this work. Solutions are obtained for constant and variable forcing functions, and general solutions are expressed in terms of Standard and Generalized Nield-Kuznetsov functions of the first- and second-kinds. Series representations of these functions and their efficient computation methodologies are presented with examples.

Publisher

North Atlantic University Union (NAUN)

Subject

Electrical and Electronic Engineering,Signal Processing

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