Some properties of Boubaker polynomials and applications

Abstract

Some new properties of Boubaker polynomials, as well as an application of these polynomials for obtaining approximate analytical solution of Love's integral equation are presented.

Comparison among several numerical methods for solving Volterra-Fredholm integro-differential equations

“…The Boubaker Polynomials method has been initially defined with the physical study in order to get an analytical solution for the heat equation [15]. The Boubaker polynomials have been defined in [16] as follows: [ 2] 2 0 4 ( ) ( 1) , 1.…”

Using Boubaker Polynomials Method for Solving Mixed Linear Volterra-Fredholm Integral Equations Intisar Swedain Ali

“…The definition of Boubaker polynomials was appeared firstly in a physical study in an attempt to get an analytical solution to heat equation [9]. According to the first definition, the Boubaker polynomials have the following expression [10]:…”

“…, where the symbol   designates the floor function. The Boubaker polynomials, which are a polynomial sequence with integer coefficients, have the explicit monic expression as follow [2]: can be expanded into a Boubaker polynomials series of finite terms [2], [9], [10]:…”

“…Consider the linear Volterra-Fredholm integral equation: (10) with initial condition 1 ) 0 (  u and the exact solution which is…”