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Jacobi polynomials used to invert the laplace transform |
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| Authors: | |
| Institution: | (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. |
| Keywords: | Inverse Laplace transform Jacobi polynomials Integral transforms Ill-posed problems LAPLACE TRANSFORM INVERT USED POLYNOMIALS numerical examples contribution work development effective method determine coefficients finite series expansion Jacobi polynomials new algorithm find approximation |
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