@Article{EAJAM-8-782, author = {}, title = {Convergence of Iterative Laplace Transform Methods for a System of Fractional PDEs and PIDEs Arising in Option Pricing}, journal = {East Asian Journal on Applied Mathematics}, year = {2018}, volume = {8}, number = {4}, pages = {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.

}, issn = {2079-7370}, doi = {https://doi.org/10.4208/eajam.130218.290618}, url = {http://global-sci.org/intro/article_detail/eajam/12819.html} }