[PDF][PDF] A meshless method for numerical solutions of linear and nonlinear time-fractional Black-Scholes models

H Ahmad, MN Khan, I Ahmad, M Omri, MF Alotaibi - AIMS Math, 2023 - researchgate.net
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 …

[HTML][HTML] Analysing time-fractional exotic options via efficient local meshless method

M Inc, MN Khan, I Ahmad, SW Yao, H Ahmad… - Results in Physics, 2020 - Elsevier
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 …

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 …

[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 …

Numerical pricing of American options under two stochastic factor models with jumps using a meshless local Petrov–Galerkin method

JA Rad, K Parand - Applied Numerical Mathematics, 2017 - Elsevier
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 …

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 …

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 …

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 …

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 …

Numerical analysis of time fractional Black–Scholes European option pricing model arising in financial market

A Golbabai, O Nikan, T Nikazad - Computational and Applied …, 2019 - Springer
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 …