[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 …
[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 …
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 …
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 …
Numerical solution of time-fractional coupled Korteweg–de Vries and Klein–Gordon equations by local meshless method
This article provides numerical simulations of the time-fractional coupled Korteweg–de Vries
and Klein–Gordon equations via the local meshless collocation method (LMCM) utilising the …
and Klein–Gordon equations via the local meshless collocation method (LMCM) utilising the …
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 …
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 …
A compact finite difference scheme for fractional Black-Scholes option pricing model
P Roul, VMKP Goura - Applied Numerical Mathematics, 2021 - Elsevier
In this paper, we present a numerical technique for solving the time-fractional Black-Scholes
(TFBS) equation describing European options. The time-fractional derivative is described by …
(TFBS) equation describing European options. The time-fractional derivative is described by …
An implicit RBF meshless approach for solving the time fractional nonlinear sine-Gordon and Klein–Gordon equations
In this paper, we propose a numerical method for the solution of time fractional nonlinear
sine-Gordon equation that appears extensively in classical lattice dynamics in the continuum …
sine-Gordon equation that appears extensively in classical lattice dynamics in the continuum …