This paper introduces a procedure to apply Laplace transform theory in solving a class of Sturm – Liouville boundary-value problems, namely those having polynomial coefficients. The method demonstrates that not only can Laplace transforms solve differential equations satisfying only initial-value conditions, but can also be adaptable to solving boundary–value problems. In the end, the application of inverse Laplace transforms to the problem introduces the reader to a novel approach in the analysis and solution of a specific class of Sturm – Liouville boundary problems.
|Number of pages||6|
|Journal||International Journal of Scientific and Research Publications|
|Early online date||7 Jun 2021|
|Publication status||Published - 7 Jun 2021|
- Sturm-Liouville operators
- Laplace transform
ASJC Scopus subject areas