![](/images/graphics-bg.png)
An Unconditionally Stable, Positivity-Preserving Splitting Scheme for Nonlinear Black-Scholes Equation with Transaction Costs
Joint Authors
Source
Issue
Vol. 2014, Issue 2014 (31 Dec. 2014), pp.1-11, 11 p.
Publisher
Hindawi Publishing Corporation
Publication Date
2014-05-07
Country of Publication
Egypt
No. of Pages
11
Main Subjects
Medicine
Information Technology and Computer Science
Abstract EN
This paper deals with the numerical analysis of nonlinear Black-Scholes equation with transaction costs.
An unconditionally stable and monotone splitting method, ensuring positive numerical solution and avoiding unstable oscillations, is proposed.
This numerical method is based on the LOD-Backward Euler method which allows us to solve the discrete equation explicitly.
The numerical results for vanilla call option and for European butterfly spread are provided.
It turns out that the proposed scheme is efficient and reliable.
American Psychological Association (APA)
Guo, Jianqiang& Wang, Wansheng. 2014. An Unconditionally Stable, Positivity-Preserving Splitting Scheme for Nonlinear Black-Scholes Equation with Transaction Costs. The Scientific World Journal،Vol. 2014, no. 2014, pp.1-11.
https://search.emarefa.net/detail/BIM-1049970
Modern Language Association (MLA)
Guo, Jianqiang& Wang, Wansheng. An Unconditionally Stable, Positivity-Preserving Splitting Scheme for Nonlinear Black-Scholes Equation with Transaction Costs. The Scientific World Journal No. 2014 (2014), pp.1-11.
https://search.emarefa.net/detail/BIM-1049970
American Medical Association (AMA)
Guo, Jianqiang& Wang, Wansheng. An Unconditionally Stable, Positivity-Preserving Splitting Scheme for Nonlinear Black-Scholes Equation with Transaction Costs. The Scientific World Journal. 2014. Vol. 2014, no. 2014, pp.1-11.
https://search.emarefa.net/detail/BIM-1049970
Data Type
Journal Articles
Language
English
Notes
Includes bibliographical references
Record ID
BIM-1049970