New perturbation-iteration solutions for Bratu-type equations
| dc.contributor.author | Aksoy Y. | |
| dc.contributor.author | Pakdemirli M. | |
| dc.date.accessioned | 2025-04-10T11:15:47Z | |
| dc.date.available | 2025-04-10T11:15:47Z | |
| dc.date.issued | 2010 | |
| dc.description.abstract | Perturbation-iteration theory is systematically generated for both linear and nonlinear second-order differential equations and applied to Bratu-type equations. Different perturbation-iteration algorithms depending upon the number of Taylor expansion terms are proposed. Using the iteration formulas derived using different perturbation-iteration algorithms, new solutions of Bratu-type equations are obtained. Solutions constructed using different perturbation-iteration algorithms are contrasted with each other as well as with numerical solutions. It is found that algorithms with more Taylor series expansion terms yield more accurate results. © 2010 Elsevier Ltd. All rights reserved. | |
| dc.identifier.DOI-ID | 10.1016/j.camwa.2010.01.050 | |
| dc.identifier.uri | http://hdl.handle.net/20.500.14701/51291 | |
| dc.title | New perturbation-iteration solutions for Bratu-type equations | |
| dc.type | Article |