Author/Authors :
Mahomed, F. M. University of the Witwatersrand - Differential Equations, Continuum Mechanics and Applications,School of Computational and Applied Mathematics, South Africa , Mahomed, K. S. Lahore School of Economics - Centre for Mathematics and Statistical Sciences, Pakistan , Naz, R. , Momoniat, E. University of the Witwatersrand - Differential Equations, Continuum Mechanics and Applications,School of Computational and Applied Mathematics, South Africa
Abstract :
We firstly show how effective it is to utilize the invariant criteria for scalar linear (1+1) parabolic equations in order to perform reductions to the three Lie canonical forms of a bond-pricing model from finance. As a consequence we arrive at new results on bond-pricing equations that admit four nontrivial symmetries. In the second part we draw attention to a new method developed for equations of economics.
