# IJPAM: Volume 64, No. 3 (2010)

A CLOSED FORM FUNDAMENTAL SOLUTION OF
THE PARABOLIC EQUATION OF THE BI-HARMONIC TYPE

Tor A. Kwembe
Department of Mathematicss
Jackson State University
JSU Box 17610, Jackson, MS 39217-0410, USA

Abstract.In this short notes, we present a closed form fundamental solution of the parabolic equation u + u = 0; x R, t 0. In general that of the heat equation is known but only the asymptotic forms of the bi-harmonic types are usually given.

Received: June 18, 2010

AMS Subject Classification: 58J10, 58J35

Key Words and Phrases: closed form solution, parabolic equation, bi-harmonic type

Source: International Journal of Pure and Applied Mathematics
ISSN: 1311-8080
Year: 2010
Volume: 64
Issue: 3