Convergence of Iterative Laplace Transform Methods for a System of Fractional PDEs and PIDEs Arising in Option Pricing

Convergence of Iterative Laplace Transform Methods for a System of Fractional PDEs and PIDEs Arising in Option Pricing

Year:    2018

East Asian Journal on Applied Mathematics, Vol. 8 (2018), Iss. 4 : pp. 782–808

Abstract

Iterative Laplace transform methods for fractional partial differential equations and fractional partial integro-differential equations arising in European option pricing with the Lévy α-stable processes and regime-switching or state-dependent jump rates are studied and numerical contour integral methods to inverse the Laplace transform are developed. It is shown that the methods under consideration have the second-order convergence rate in space and spectral-order convergence for Laplace transform inversion.

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Journal Article Details

Publisher Name:    Global Science Press

Language:    English

DOI:    https://doi.org/10.4208/eajam.130218.290618

East Asian Journal on Applied Mathematics, Vol. 8 (2018), Iss. 4 : pp. 782–808

Published online:    2018-01

AMS Subject Headings:   

Copyright:    COPYRIGHT: © Global Science Press

Pages:    27

Keywords:    Fractional partial differential equation option pricing

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