Jacobi polynomials used to approximately invert the Laplace transform
| Author(s) : | A Al-Shuaibi F Al-Rawajih, |
| Publisher : | KING FAHD UNIV PETROLEUM MINERALS |
| Publication Date : | 2005 |
| ISSN : | N/A |
| 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 to construct a new method to evaluate the coefficients in the finite series expansion of f(t) in terms of Jacobi polynomials. Some numerical examples are illustrated., |