[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-… option,
digital option and double barrier option. For this purpose, a local meshless collocation method

[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
… To price the exotic options in markets with jumps, a fractional diffusion model was developed
by Cartea and del-Castillo-Negrete [5]. Liang et al. [6] proposed bifractional BS models of …

Application of efficient hybrid local meshless method for the numerical simulation of time-fractional PDEs arising in mathematical physics and finance

H Abu-Zinadah, MD Alsulami, H Ahmad - The European Physical Journal …, 2023 - Springer
efficient hybrid local meshless technique for the numerical solution of a multi-term time-fractional
, which models an anomalous mobile-immobile solute transport process. The proposed …

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
time fractional Black–Scholes equation (TFBSE). This paper proposes an efficient local
meshless method … Cartea et al 9 simulated the exotic options by means of the shifted Grünwald–…

Numerical solution of two-term time-fractional PDE models arising in mathematical physics using local meshless method

JF Li, I Ahmad, H Ahmad, D Shah, YM Chu… - Open Physics, 2020 - degruyter.com
… This research includes the numerical solutions of two-term time-fractional PDE models
using an efficient and accurate local meshless method. Due to the advantages of the meshless

A computational method based on the moving least-squares approach for pricing double barrier options in a time-fractional Black–Scholes model

A Golbabai, O Nikan - Computational Economics, 2020 - Springer
… to price exotic options, in particular barrier options by using the … advection–diffusion equation
by using a meshless method … Moreover, the convergence analysis of this current method is …

[HTML][HTML] Numerical solution of the time fractional Black–Scholes model governing European options

H Zhang, F Liu, I Turner, Q Yang - Computers & Mathematics with …, 2016 - Elsevier
… numerical scheme are analyzed using Fourier analysis. Some numerical examples are …
the proposed numerical techniques to price exotic options, in particular barrier options. A further …

Numerical methods for fractional Black-Scholes equations and their applications to option pricing

X An - 2023 - eprints.qut.edu.au
… used to derive the price of exotic options and barrier options. … of the time-fractional BS model
by using the S&P 500 index … In order to verify the effectiveness of our theoretical analysis, …

Numerical analysis of fractional order Black–Scholes option pricing model with band equation method

J Chen, X Li, Y Shao - Journal of Computational and Applied Mathematics, 2024 - Elsevier
… The meshless method, a comparatively recent technique, utilizes radial basis functions for
solution interpolation without necessitating a mesh. Each method … compare their efficiency, …

[HTML][HTML] The unified technique for the nonlinear time-fractional model with the beta-derivative

H Ahmad, MN Alam, MA Rahim, MF Alotaibi, M Omri - Results in Physics, 2021 - Elsevier
time-fractional model with Atangana’s conformable fractional derivative using the unified
process… In sector 2, a few ACFD and the analysis of the technique have been studied. In sector 3…