Reduction of Certain Type of Parabolic Partial Differential Equations to Heat Equation
ABSTRACT:
As we all know that the solution of Heat Equation is found more easily than other Partial Differential Equations of Parabolic Type. So, if we enable us to convert Parabolic Partial Differential Equations to Heat Equation, then it becomes easier to find solutions. In this paper we are considering a method introduced by Harper and with the help of a method for reduction of some types of Partial Differential Equations to their Canonical Form it is shown that all the equations of this type are reduced to Heat Equation by following some definite steps. To illustrate the method, we have taken some PDEs of this type and converted them to their Canonical Form and then to Heat Equation.
KEYWORDS: Parabolic Partial Differential Equation, Heat Equation, Solution of First Order Linear PDE, AMS Subject Classification(2010): 35K05; 35K10; 35F05; 35A25
- DOI:
http://dx.doi.org/10.22147/jusps-A/300901
- [XML]
- [HTML]
- VIEW COUNT: 309
- DOWNLOAD PDF
- TOTAL DOWNLOADS0
As we all know that the solution of Heat Equation is found more easily than other Partial Differential Equations of Parabolic Type. So, if we enable us to convert...