Ndiaye, Malick (2022) The Riccati Equation, Differential Transform, Rational Solutions and Applications. Applied Mathematics, 13 (09). pp. 774-792. ISSN 2152-7385
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Official URL: https://doi.org/10.4236/am.2022.139049
Abstract
In this article, the Riccati Equation is considered. Various techniques of finding analytical solutions are explored. Those techniques consist mainly of making a change of variable or the use of Differential Transform. It is shown that the nonconstant rational functions whose numerator and denominator are of degree 1, cannot be solutions to the Riccati equation. Two applications of the Riccati equation are discussed. The first one deals with Quantum Mechanics and the second one deal with Physics.
| Item Type: | Article |
|---|---|
| Subjects: | Universal Eprints > Mathematical Science |
| Depositing User: | Managing Editor |
| Date Deposited: | 06 Jan 2023 07:56 |
| Last Modified: | 29 Jun 2024 08:48 |
| URI: | http://journal.article2publish.com/id/eprint/908 |
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