Abstract
Conditions for the existence of polynomial solutions of certain second-order differential equations have recently been investigated by several authors. In this paper, a new algorithmic procedure is given to determine necessary and sufficient conditions for a differential equation with polynomial coefficients containing parameters to admit polynomial solutions and to compute these solutions. The effectiveness of this approach is illustrated by applying it to determine new solutions of several differential equations of current interest. A comparative analysis is given to demonstrate the advantage of this algorithmic procedure over existing software.
| Original language | English |
|---|---|
| Pages (from-to) | 1615-1624 |
| Number of pages | 10 |
| Journal | Mathematical Methods in the Applied Sciences |
| Volume | 36 |
| Issue number | 12 |
| DOIs | |
| State | Published - Aug 2013 |
Keywords
- linear differential equations
- polynomial solutions
ASJC Scopus subject areas
- General Mathematics
- General Engineering