THE BOUBAKER POLYNOMIALS, A NEW FUNCTION CLASS FOR SOLVING BI-VARIED SECOND ORDER DIFFERENTIAL EQUATIONS

Karem Boubaker (Tunis)

Received March 14, 2007

Abstract

This study presents new polynomials issued from an attempt to solve heat bi-varied equation in a particular case of one-dimensional model. The polynomials, baptized Boubaker polynomials are defined by a recursive formula, which is a critical part of resolution process; they have a demonstrated explicit forms and some interesting properties.

Keywords and phrases: heat equation, polynomials, recursion.