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

Journal Title: JOURNAL OF ADVANCES IN PHYSICS - Year 2016, Vol 11, Issue 5

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.

Authors and Affiliations

S. M. Alzahrani, M. S. Abu Zaytoon, T. L. Alderson, I. Gadoura, M. H. Hamdan

Keywords

Related Articles

Entanglement Explained by Sequencing Satisfies Lack of Trajectory and The Holographic Principle

The implications of entanglement have scared many, but if we use all we understand about existence sequencing is probably the answer given probable experiments that we should have the technology to do within the next 5 y...

Structural and Magnetic Properties of Co0.5Ni0.5-xMnxFe2O4(x=0, 0.15, 0.25, 0.35, 0.5) Ferrite Nanoparticles Prepared via Sol-Gel Auto-Combustion Method

In this study, Co0.5Ni0.5-xMnxFe2O4 (x=0, 0.15, 0.25, 0.35, 0.5) ferrite nanoparticles were prepared by sol-gel auto-combustion method. Structural, magnetic and morphology properties of obtained nanoparticles were invest...

X-RAY FLOURESCENCE (XRF) ANALYSIS OF ROCK AND SOIL SAMPLES FROM A MAGNETIC INTRUSIVE ROCK IN OBA AKOKO, NIGERIA.

Nigerians had witnessed constant crash in the price of crude oil in the international market in the last couple of years to date. Therefore, Nigerians government is making concerted efforts to diversify Nigerian economy...

Onsagerian Quantum Mechanics

We describe the basic quantum-mechanical categories and properties of the thermodynamical basis of Onsagers theorem. 3 basic principles are used: 1. energy dissipation; 2. Hamiltonian formalism; 3. Onsagers linearity. We...

Formation of Hierarchical 2D-Mos2 Nanostructures over Carbon Fabric as Binder Free Electrode Material for Supercapacitor Applications

Carbon fabrics are the new generation promising electrode materials for super capacitors owing to their high electrical conductivity, high chemical stability and low thermal expansion. In this work, 2D-MoS2 nanostructure...

Download PDF file
  • EP ID EP653223
  • DOI 10.24297/jap.v11i5.370
  • Views 81
  • Downloads 0

How To Cite

S. M. Alzahrani, M. S. Abu Zaytoon, T. L. Alderson, I. Gadoura, M. H. Hamdan (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://europub.co.uk/articles/-A-653223