Abstract and Applied Analysis

Symmetry Analysis and Exact Solutions to the Space-Dependent Coefficient PDEs in Finance

Hanze Liu

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Abstract

The variable-coefficients partial differential equations (vc-PDEs) in finance are investigated by Lie symmetry analysis and the generalized power series method. All of the geometric vector fields of the equations are obtained; the symmetry reductions and exact solutions to the equations are presented, including the exponentiated solutions and the similarity solutions. Furthermore, the exact analytic solutions are provided by the transformation technique and generalized power series method, which has shown that the combination of Lie symmetry analysis and the generalized power series method is a feasible approach to dealing with exact solutions to the variable-coefficients PDEs.

Article information

Source
Abstr. Appl. Anal., Volume 2013, Special Issue (2013), Article ID 156965, 10 pages.

Dates
First available in Project Euclid: 26 February 2014

Permanent link to this document
https://projecteuclid.org/euclid.aaa/1393449899

Digital Object Identifier
doi:10.1155/2013/156965

Mathematical Reviews number (MathSciNet)
MR3126806

Zentralblatt MATH identifier
1304.35038

Citation

Liu, Hanze. Symmetry Analysis and Exact Solutions to the Space-Dependent Coefficient PDEs in Finance. Abstr. Appl. Anal. 2013, Special Issue (2013), Article ID 156965, 10 pages. doi:10.1155/2013/156965. https://projecteuclid.org/euclid.aaa/1393449899


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