Title

Heat Transfer In A Liquid Film Over An Unsteady Stretching Sheet

Keywords

epidemiology; existence and uniqueness; fixed point; integral equations; nonlinear; nonlocal; yellow fever

Abstract

In this work, we construct and analyze a nonlinear reaction-diffusion epidemiology model consisting of two integral-differential equations and an ordinary differential equation, which is suggested by various insect borne diseases, for example, Yellow Fever. We begin by defining a nonlinear auxiliary problem and establishing the existence and uniqueness of its solution via a priori estimates and a fixed point argument, from which we prove the existence and uniqueness of the classical solution to the analytic problem. Next, we develop a finite-difference method to approximate our model and perform some numerical experiments. We conclude with a brief discussion of some subsequent extensions. © 2011 John Wiley & Sons, Ltd.

Publication Date

1-31-2012

Publication Title

International Journal of Heat and Mass Transfer

Volume

55

Issue

2

Number of Pages

1316-1324

Document Type

Article

Personal Identifier

scopus

DOI Link

https://doi.org/10.1016/j.ijheatmasstransfer.2011.09.007

Socpus ID

82955173103 (Scopus)

Source API URL

https://api.elsevier.com/content/abstract/scopus_id/82955173103

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