[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 …

A numerical study of the European option by the MLPG method with moving kriging interpolation

P Phaochoo, A Luadsong, N Aschariyaphotha - SpringerPlus, 2016 - Springer
In this paper, the meshless local Petrov–Galerkin (MLPG) method is applied for solving a
generalized Black–Scholes equation in financial problems. This equation is a PDE …

[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 …

[PDF][PDF] Meshless local Petrov-Galerkin and RBFs collocation methods for solving 2D fractional Klein-Kramers dynamics equation on irregular domains

M Dehghan, M Abbaszadeh… - Comput Model Eng Sci, 2015 - cdn.techscience.cn
In the current paper the two-dimensional time fractional Klein-Kramers equation which
describes the subdiffusion in the presence of an external force field in phase space has …

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 …

Two meshless procedures: moving Kriging interpolation and element-free Galerkin for fractional PDEs

M Dehghan, M Abbaszadeh - Applicable Analysis, 2017 - Taylor & Francis
In this paper, the element-free Galerkin (EFG) meshless method and moving Kriging
collocation meshless technique are applied for finding the numerical solution of a class of …

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 …

Pricing European and American options using a very fast and accurate scheme: the meshless local Petrov–Galerkin method

JA Rad, K Parand, S Abbasbandy - … of the National Academy of Sciences …, 2015 - Springer
In this paper, a method for the numerical pricing of American and European options under
the Black–Scholes model is introduced. This approach is meshless local Petrov–Galerkin …

A compact quadratic spline collocation method for the time-fractional Black–Scholes model

Z Tian, S Zhai, H Ji, Z Weng - Journal of Applied Mathematics and …, 2021 - Springer
A compact quadratic spline collocation (QSC) method for the time-fractional Black–Scholes
model governing European option pricing is presented. Firstly, after eliminating the …

[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 …