[
[1] Y. Achdou and O. Pironneau, Computational methods for option pricing, Society for Industrial and Applied Mathematics, (2005).10.1137/1.9780898717495
]Search in Google Scholar
[
[2] Z. Al-Zhour, M. Barfeie, F. Soleymani, and E. Tohidi, A computational method to price with transaction costs under the nonlinear Black-Scholes model, CMES-Comp Model. Eng., 124 (2020), 61–78.
]Search in Google Scholar
[
[3] A. Andalaft-Chacur, M. M. Ali and J. G. Salazar, Real options pricing by the finite element method, Comput. Math. Appl., 61 (2011), pp. 2863–2873.
]Search in Google Scholar
[
[4] F. Black and M. Scholes, The pricing of options and corporate liabilities, J. Political Econ., 81 (1973), 637–654.10.1086/260062
]Search in Google Scholar
[
[5] A. Chakraborty and B.V. R. Kumar, Finite element method for drifted space fractional tempered diffusion equation, J. Appl. Math. Comput., 61 (2019), 117–135.10.1007/s12190-019-01241-6
]Search in Google Scholar
[
[6] M. M. Chawla and D. J. Evans, Numerical volatility in option valuation from black-scholes equation by finite differences, Int. J. Comput. Math., 81 (2004), 1039–1041.10.1080/03057920412331272234
]Search in Google Scholar
[
[7] C. De Schryver, FPGA Based Accelerators for Financial Applications, Springer International Publishing, (2015).10.1007/978-3-319-15407-7
]Search in Google Scholar
[
[8] A. EL Kahoui, M. Malek, N. Izem, M.S. Mohamed, and M. Seaid, Partition of Unity Finite Element Analysis of Nonlinear Transient Diffusion Problems using p-Version Refinement, CMES-Comp Model. Eng., 124 (2020), 61–78.
]Search in Google Scholar
[
[9] C. Feng, J. Tan, Z. Jiang, and S. Chen, A generalized European option pricing model with risk management, Physica A., 545 (2020), 123797.10.1016/j.physa.2019.123797
]Search in Google Scholar
[
[10] J. Liu, Two fast finite difference schemes for elliptic Dirichlet boundary control problems, J. Appl. Math. Comput., 61 (2019), 481–503.10.1007/s12190-019-01261-2
]Search in Google Scholar
[
[11] F. Liu, I. Turner and V. Anh, An unstructured mesh finite volume method for modelling saltwater intrusion into coastal aquifers, J. Comput. & Appl. Math., 9 (2002), 391–407.
]Search in Google Scholar
[
[12] J. Lyu, E. Park, S. Kim, W. Lee, C. Lee, S. Yoon, J. Park, and J. Kim, Optimal non-uniform finite difference grids for the Black-Scholes equations, Math. Comput. Simul., 182 (2021), 690–704.10.1016/j.matcom.2020.12.002
]Search in Google Scholar
[
[13] M. Malek, N. Izem, M. Seaid, M.S. Mohamed, and M. Wakrim, A partition of unity finite element method for nonlinear transient diffusion problems in heterogeneous materials, Comp. Appl. Math., 2 (2019), 31–38.10.1007/s40314-019-0782-z
]Search in Google Scholar
[
[14] J. M. Melenk and I. Babuška, The partition of unity finite element method: Basic theory and applications, Comput. Methods Appl. Mech. Engrg, 139 (1996), 289–314.10.1016/S0045-7825(96)01087-0
]Search in Google Scholar
[
[15] M. Malek, N. Izem, M.S. Mohamed, and M. Seaid, O. Laghrouche, A partition of unity finite element method for three-dimensional transient diffusion problems with sharp gradients, J. Comput. Phys., 396 (2019), 702–717.10.1016/j.jcp.2019.06.062
]Search in Google Scholar
[
[16] M. Malek, N. Izem, M.S. Mohamed, and M. Seaid, A three-dimensional enriched finite element method for nonlinear transient heat transfer in functionally graded materials, Int. J. Heat Mass Transf., 155 (2020), 119804.10.1016/j.ijheatmasstransfer.2020.119804
]Search in Google Scholar
[
[17] F. Mercurio and Ton.C F. Vorst, Option pricing with hedging at fixed trading dates, Appl. Math. Finance, (2006), 135–158.10.1080/13504869600000007
]Search in Google Scholar
[
[18] M. S. Mohamed, M. Seaid, J. Trevelyan, and O. Laghrouche, A partition of unity fem for time-dependent diffusion problems using multiple enrichment functions, Int. J. Numer. Meth. Engng., 93 (2013), 245–265.10.1002/nme.4383
]Search in Google Scholar
[
[19] M. S. Mohamed, M. Seaid, J. Trevelyan, and O. Laghrouche, An enriched finite element model with qrefinement for radiative boundary layers in glass cooling, J. Comp. Phys., 258 (2014), 718–737.10.1016/j.jcp.2013.11.005
]Search in Google Scholar
[
[20] O. Turcoane, Option Price Estimations and Speculative Trading in Knowledge Society, Procedia Economics and Finance, 3(2012): 432–437.10.1016/S2212-5671(12)00176-1
]Search in Google Scholar
[
[21] S. Wang, S. Zhang and Z. Fang, A superconvergent fitted finite volume method for black–scholes equations governing european and american option valuation, Numer. Methods Partial Differ. Equ., 31(2015): 1190–1208.10.1002/num.21941
]Search in Google Scholar
[
[22] P. Wilmott, S. Howson, S. Howison, et al., The mathematics of financial derivatives: a student introduction, Cambridge university press, (1995).
]Search in Google Scholar
