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Journal of Applied Mathematics
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Exponential Time Integration and Second‐Order Difference Scheme for a Generalized Black‐Scholes Equation

Exponential time integration and second-order difference scheme for a generalized Black-Scholes equation
Authors: Cen, Zhongdi; Le, Anbo; Xu, Aimin;

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

Abstract

We apply an exponential time integration scheme combined with a central difference scheme on a piecewise uniform mesh with respect to the spatial variable to evaluate a generalized Black‐Scholes equation. We show that the scheme is second‐order convergent for both time and spatial variables. It is proved that the scheme is unconditionally stable. Numerical results support the theoretical results.

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Keywords

Finite difference methods for boundary value problems involving PDEs, Numerical methods (including Monte Carlo methods), QA1-939, Mathematics

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selected citations
These citations are derived from selected sources.
This is an alternative to the "Influence" indicator, which also reflects the overall/total impact of an article in the research community at large, based on the underlying citation network (diachronically).
BIP!Citations provided by BIP!
popularity
This indicator reflects the "current" impact/attention (the "hype") of an article in the research community at large, based on the underlying citation network.
BIP!Popularity provided by BIP!
influence
This indicator reflects the overall/total impact of an article in the research community at large, based on the underlying citation network (diachronically).
BIP!Influence provided by BIP!
impulse
This indicator reflects the initial momentum of an article directly after its publication, based on the underlying citation network.
BIP!Impulse provided by BIP!
5
Average
Average
Average
gold