[PDF][PDF] A meshless method for numerical solutions of linear and nonlinear time-fractional Black-Scholes models
The numerical solution of the time-fractional Black-Scholes model for European and
American options is presented using a local meshless collocation approach based on hybrid …
American options is presented using a local meshless collocation approach based on hybrid …
[HTML][HTML] Analysing time-fractional exotic options via efficient local meshless method
In this article, we analyse the numerical simulation of the time-fractional Black-Scholes
model governing butterfly spread option, digital option and double barrier option. For this …
model governing butterfly spread option, digital option and double barrier option. For this …
Error and stability estimates of a time-fractional option pricing model under fully spatial–temporal graded meshes
F Soleymani, S Zhu - Journal of Computational and Applied Mathematics, 2023 - Elsevier
To price vanilla European and American options via the fractional Black–Scholes model, first
a (2− α)-order discretization scheme for the Caputo fractional derivative based upon graded …
a (2− α)-order discretization scheme for the Caputo fractional derivative based upon graded …
[HTML][HTML] The meshless local Petrov–Galerkin based on moving kriging interpolation for solving fractional Black–Scholes model
P Phaochoo, A Luadsong… - Journal of King Saud …, 2016 - Elsevier
In this paper, the fractional Black–Scholes equation in financial problem is solved by using
the numerical techniques for the option price of a European call or European put under the …
the numerical techniques for the option price of a European call or European put under the …
Numerical pricing of American options under two stochastic factor models with jumps using a meshless local Petrov–Galerkin method
The most recent update of financial option models is American options under stochastic
volatility models with jumps in returns (SVJ) and stochastic volatility models with jumps in …
volatility models with jumps in returns (SVJ) and stochastic volatility models with jumps in …
Selection of shape parameter in radial basis functions for solution of time-fractional Black–Scholes models
S Haq, M Hussain - Applied Mathematics and Computation, 2018 - Elsevier
The current work aims to exploit two techniques namely: Residual Power Series method
(RPSM) and collocation based meshfree method, for the solution of time-fractional Black …
(RPSM) and collocation based meshfree method, for the solution of time-fractional Black …
Localized kernel‐based meshless method for pricing financial options underlying fractal transmission system
O Nikan, Z Avazzadeh… - … Methods in the Applied …, 2024 - Wiley Online Library
The variation in the option pricing of the fractal transmission system is modelled by the time
fractional Black–Scholes equation (TFBSE). This paper proposes an efficient local meshless …
fractional Black–Scholes equation (TFBSE). This paper proposes an efficient local meshless …
A comparative analysis of local meshless formulation for multi-asset option models
I Ahmad - Engineering Analysis with Boundary Elements, 2016 - Elsevier
A local meshless radial basis function collocation differential quadrature (LMRBFCDQ) is
proposed for the numerical solution of a single and multi-asset option pricing PDE models …
proposed for the numerical solution of a single and multi-asset option pricing PDE models …
A high accuracy numerical method and its convergence for time-fractional Black-Scholes equation governing European options
P Roul - Applied Numerical Mathematics, 2020 - Elsevier
This paper is concerned with the design of a high order numerical approach based on a
uniform mesh for efficient numerical solution of time-fractional Black-Scholes equation …
uniform mesh for efficient numerical solution of time-fractional Black-Scholes equation …
Numerical analysis of time fractional Black–Scholes European option pricing model arising in financial market
The price variation of the correlated fractal transmission system is used to deduce the
fractional Black–Scholes model that has an α α-order time fractional derivative. The …
fractional Black–Scholes model that has an α α-order time fractional derivative. The …