University of the Witwatersrand Center for Differential Equations Continuum Mechanics and Applications, School of Computational and Applied Mathematics, Private Bag 3, WITS 2050, South Africa
University of the Witwatersrand Center for Differential Equations Continuum Mechanics and Applications, School of Computational and Applied Mathematics, Private Bag 3, WITS 2050, South Africa
We consider a bond‐pricing model described in terms of partial differential equations (PDEs). Classical Lie point symmetry analysis of the considered PDEs resulted in a number of point symmetries being admitted. The one‐dimensional optimal system of subalgebras is constructed. Following the symmetry reductions, we determine the group‐invariant solutions.
Nteumagne, B. F., & Moitsheki, R. J. (2009). Optimal systems and group invariant solutions for a model arising in financial mathematics. Mathematical Modelling and Analysis, 14(4), 495-502. https://doi.org/10.3846/1392-6292.2009.14.495-502
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