A flexible inverse laplace transform algorithm and its application

Authors:
Jaemin Ahn;Sungkwon Kang;YongHoon Kwon
Affiliations:
Department of Mathematics, POSTECH, Pohang 790-784, South Korea;Department of Mathematics, Chosun University, Kwangju 501-759, South Korea;Department of Mathematics, POSTECH, Pohang 790-784, South Korea
Venue:
Computing
Year:
2003

Citing 2
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Abstract

A flexible efficient and accurate inverse Laplace transform algorithm is developed. Based on the quotient-difference methods the algorithm computes the coefficients of the continued fractions needed for the inversion process. By combining diagonalwise operations and the recursion relations in the quotient-difference schemes, the algorithm controls the dimension of the inverse Laplace transform approximation automatically. Application of the algorithm to the solute transport equations in porous media is explained in a general setting. Also, a numerical simulation is performed to show the accuracy and efficiency of the developed algorithm.