(1) Department of mathematical Sciences, King Fahd University of Petroleum and Minerals, Dhahran, Saudi Arabia;(2) Department of Mathematics Science College for Girls, Dammam, Saudi Arabia
Abstract:
Given the Laplace transform F(s) of a function f(t), we develop a new algorithm to find an approximation to f(t) by the use of the classical Jacobi polynomials. The main contribution of our work is the development of a new and very effective method to determine the coefficients in the finite series expansion that approximation f(t) in terms of Jacobi polynomials. Some numerical examples are illustrated.