Open AccessInhomogeneous Airy’s and Generalized Airy’s Equations with Initial and Bounday Conditions
Author(s) -
M. H. Hamdan,
Saleh Alzahrani,
M.S. Abu Zaytoon,
S. Jayyousi Dajani
Publication year - 2021
Publication title -
international journal of circuits, systems and signal processing
Language(s) - English
Resource type - Journals
ISSN - 1998-4464
DOI - 10.46300/9106.2021.15.161
Subject(s) - airy function , forcing (mathematics) , computation , mathematics , mathematical analysis , constant (computer programming) , work (physics) , boundary (topology) , boundary value problem , variable (mathematics) , physics , computer science , algorithm , thermodynamics , programming language
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.