On the High-Order Quasi Exactly Solvable Differential Equations
| Autor: | Talal H. Alzanki, Mohamed S. Shaaban, Mohamad K. El-Daou |
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| Rok vydání: | 2019 |
| Předmět: |
Class (set theory)
Differential equation Iterative method 010103 numerical & computational mathematics 02 engineering and technology General Medicine Differential operator 01 natural sciences Ordinary differential equation ComputingMethodologies_SYMBOLICANDALGEBRAICMANIPULATION 0202 electrical engineering electronic engineering information engineering Applied mathematics 020201 artificial intelligence & image processing 0101 mathematics High order Linear combination Mathematics |
| Zdroj: | American Journal of Computational Mathematics. :234-250 |
| ISSN: | 2161-1211 2161-1203 |
| DOI: | 10.4236/ajcm.2019.94018 |
| Popis: | In this paper, we present a new method for solving a class of high-order quasi exactly solvable ordinary differential equations. With this method, the computed solution is expressed as a linear combination of the canonical polynomials associated with the given differential operator. An iterative algorithm summarizing the procedure is presented and its efficiency is demonstrated through considering two applied problems. |
| Databáze: | OpenAIRE |
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