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Two-dimensional Laplace transform inversion using bivariate homogeneous two-point Padé approximants

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Abstract

The purpose of this paper is to suggest a new numerical method for finding the inverse of the two-dimensional Laplace transform. This approach is based on bivariate homogeneous two-point Padé approximants constructed using the coefficients of the series expansions of the inverse function for small and large values. The proposed technique is verified in some numerical examples.

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Acknowledgements

The authors would like to thank the referees for their corrections and many valuable suggestions.

Funding

The work of the first author is supported by a CNRST Scientific Scholarship.

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Authors and Affiliations

  1. Faculty of Sciences and Technology, Laboratory LMCMAN, University Hassan II of Casablanca, BP 146, Mohammedia, Morocco

    Y. Chakir, J. Abouir, I. Aounil & B. Benouahmane

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  1. Y. Chakir
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  2. J. Abouir
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  3. I. Aounil
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  4. B. Benouahmane
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Correspondence to J. Abouir.

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Chakir, Y., Abouir, J., Aounil, I. et al. Two-dimensional Laplace transform inversion using bivariate homogeneous two-point Padé approximants. Numer Algor 90, 1153–1174 (2022). https://doi.org/10.1007/s11075-021-01225-3

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  • DOI: https://doi.org/10.1007/s11075-021-01225-3

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