A family of positive nonstandard numerical methods with application to Black-Scholes equation

Nonstandard finite difference schemes for the Black-Scholes partial differential equation preserving the positivity property are proposed. Computationally simple schemes are derived by using a nonlocal approximation in the reaction term of the Black-Scholes equation. Unlike the standard methods, the...

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Bibliographic Details
Main Authors: Mohammad Mehdizadeh Khalsaraei, Nashmil Osmani
Format: Article
Language:English
Published: University of Maragheh 2017-01-01
Series:Sahand Communications in Mathematical Analysis
Subjects:
Online Access:http://scma.maragheh.ac.ir/article_19335_cf08f2d957449d24abc0378c987a3ca6.pdf