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.
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The research of this author was supported by the Chosun University Research Funds 2000.
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Ahn, J., Kang, S. & Kwon, Y. A Flexible Inverse Laplace Transform Algorithm and its Application. Computing 71, 115–131 (2003). https://doi.org/10.1007/s00607-003-0023-5
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DOI: https://doi.org/10.1007/s00607-003-0023-5