International Journal of Engineering, Science and Mathematics

  • Year: 2019
  • Volume: 8
  • Issue: 5

A note on solution of partial differential equations using power series

  • Author:
  • Pratibha Pundlik1, Anil Kashyap2, Abdul Junaid Khan3
  • Total Page Count: 6
  • DOI:
  • Page Number: 8 to 13

1Research Scholar, MATS University, Raipur (CG)

2BRSM College of Agricultural Engineering and Technology & Research Station, Mungeli (CG)

3MATS University, Raipur (CG)

Online published on 3 December, 2019.

Abstract

The method of power series solution is a traditional but strong method for Ordinary Differential Equations and Partial Differential Equations. However, despite their usefulness the application of this method has been limited to this particular kind of equations. We propose to use the method of Power Series to solve Non Linear Partial Differential Equations. We apply the method in several typical non linear partial differential equations in order to demonstrate the power of the method. This method ensures the theoretical exactness of the approximate solution and comparisons of the approximate solution with the exact one are determined.

Keywords

Ordinary Differential Equations, Non Linear Partial Differential Equations, Power Series