Transformation of Parabolic Partial Differential Equations into Heat Equation Using Hopf Cole Transform

Onuoha N. O.

Abstract: This paper is concerned with the transformation of four parabolic partial differential equations to heat equations using Hopf Cole transform. The transformation shows that Hopf Cole transform is a good mathematical transformation tool that can be applied to any parabolic partial differential equation that needs to be transformed to heat equation to obtain the solution.

Keywords: Hopf Cole transform, Parabolic partial differential equations, Black-Scholes equation, Variable coefficient partial differential equation, Constant coefficient partial differential equation

How to Cite?: Onuoha N. O., "Transformation of Parabolic Partial Differential Equations into Heat Equation Using Hopf Cole Transform", Volume 12 Issue 6, June 2023, International Journal of Science and Research (IJSR), Pages: 1741-1743, https://www.ijsr.net/getabstract.php?paperid=SR23612082710, DOI: https://dx.doi.org/10.21275/SR23612082710