Exponential Time Integration and Second-Order Difference Scheme for a Generalized Black-Scholes Equation

Joint Authors

Cen, Zhongdi
Le, Anbo
Xu, Aimin

Source

Journal of Applied Mathematics

Issue

Vol. 2012, Issue 2012 (31 Dec. 2012), pp.1-12, 12 p.

Publisher

Hindawi Publishing Corporation

Publication Date

2012-02-19

Country of Publication

Egypt

No. of Pages

12

Main Subjects

Mathematics

Abstract EN

We apply an exponential time integration schemecombined with a central difference scheme on a piecewise uniform mesh withrespect to the spatial variable to evaluate a generalized Black-Scholes equation.

We show that the scheme is second-order convergent for both timeand spatial variables.

It is proved that the scheme is unconditionally stable.

Numerical results support the theoretical results.

American Psychological Association (APA)

Cen, Zhongdi& Le, Anbo& Xu, Aimin. 2012. Exponential Time Integration and Second-Order Difference Scheme for a Generalized Black-Scholes Equation. Journal of Applied Mathematics،Vol. 2012, no. 2012, pp.1-12.
https://search.emarefa.net/detail/BIM-1029008

Modern Language Association (MLA)

Cen, Zhongdi…[et al.]. Exponential Time Integration and Second-Order Difference Scheme for a Generalized Black-Scholes Equation. Journal of Applied Mathematics No. 2012 (2012), pp.1-12.
https://search.emarefa.net/detail/BIM-1029008

American Medical Association (AMA)

Cen, Zhongdi& Le, Anbo& Xu, Aimin. Exponential Time Integration and Second-Order Difference Scheme for a Generalized Black-Scholes Equation. Journal of Applied Mathematics. 2012. Vol. 2012, no. 2012, pp.1-12.
https://search.emarefa.net/detail/BIM-1029008

Data Type

Journal Articles

Language

English

Notes

Includes bibliographical references

Record ID

BIM-1029008