Results 11 to 20 of about 4,828 (174)

A robust numerical solution to a time-fractional Black–Scholes equation [PDF]

Advances in Difference Equations, 2021
Dividend paying European stock options are modeled using a time-fractional Black–Scholes (tfBS) partial differential equation (PDE). The underlying fractional stochastic dynamics explored in this work are appropriate for capturing market fluctuations in ...
S. M. Nuugulu, F. Gideon, K. C. Patidar
doaj   +2 more sources

Numerical solution of ψ-Hilfer fractional Black–Scholes equations via space–time spectral collocation method

Alexandria Engineering Journal, 2023
Trivially, the time-fractional Black–Scholes (FBS) equation is utilized to describe the behavior of the option pricing in financial markets. This work is intended as an attempt to introduce the ψ-Hilfer fractional Black–Scholes (ψ-HFBS) equation.
F. Mohammadizadeh, S.G. Georgiev, G. Rozza, E. Tohidi, S. Shateyi   +4 more
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Solution of time fractional Black-Scholes European option pricing equation arising in financial market

Nonlinear Engineering, 2016
In this paper, we present fractional differential transform method (FDTM) and modified fractional differential transform method (MFDTM) for the solution of time fractional Black-Scholes European option pricing equation.
Ravi Kanth A.S.V., Aruna K.
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A class of intrinsic parallel difference methods for time-space fractional Black–Scholes equation

Advances in Difference Equations, 2018
To quickly solve the fractional Black–Scholes (B–S) equation in the option pricing problems, in this paper, we construct pure alternative segment explicit–implicit (PASE-I) and pure alternative segment implicit–explicit (PASI-E) difference schemes for ...
Yue Li, Xiaozhong Yang, Shuzhen Sun
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Galerkin approach by certain shifted Jacobi polynomials for solving the time-fractional Black-Scholes equation [PDF]

Boundary Value Problems
This work presents a spectral Galerkin approach for solving the time-fractional Black-Scholes equation (TFBSE) used in option pricing models, considering memory effects. We use certain shifted Jacobi polynomials as the basis functions.
A. G. Atta, M. A. Abdelkawy, Anna Napoli, W. M. Abd-Elhameed   +3 more
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A universal difference method for time-space fractional Black-Scholes equation [PDF]

, 2016
Sun Shuzhen, Wu Lifei, Yang Xiaozhong, Zhang Xue   +3 more
core   +3 more sources

Optimal approximations for the free boundary problems of the space-time fractional Black-Scholes equations using a combined physics-informed neural network. [PDF]

Sci Rep
Song L, Tan Y, Yu F, Luo Y, Zheng J.
europepmc   +3 more sources

Analysis of a Finite Difference Method for a Time-Fractional Black–Scholes Equation [PDF]

Fractal and Fractional
The goal of this paper is to give an error analysis of a finite difference method for a time-fractional Black–Scholes equation with weakly singular solutions.
Qingzhao Li, Chaobao Huang, Tao Sun, Hu Chen   +3 more
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Efficient High-Accuracy Numerical Scheme for the Solution of Time Fractional Parabolic Partial Differential Equations With Application in Financial Modeling

Journal of Mathematics
Parabolic partial equations, particularly the Black–Scholes equation, are fundamental in mathematical finance for option pricing and risk management. Despite their widespread use, efficiently solving these equations remains a challenge, especially in ...
Hadis Azin, Ali Iloon Kashkooly
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Analytical solution of time-fractional N-dimensional Black-Scholes equation using LHPM

Ratio Mathematica, 2023
A famous Black-Scholes differential equation is used for pricing options in financial world which represents financial derivatives more significantly. Option is one of the crucial financial derivatives. Sawangtong P., Trachoo K., Sawangtong W.
Sanjay Ghevariya, CHETANBHAI PATEL
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