Applications of variational iteration and homotopy perturbation methods to obtain exact solutions for time-fractional diffusion-wave equations
| dc.contributor.author | Ateş I. | |
| dc.contributor.author | YIldIrIm A. | |
| dc.date.accessioned | 2019-10-26T22:33:04Z | |
| dc.date.available | 2019-10-26T22:33:04Z | |
| dc.date.issued | 2010 | |
| dc.department | Ege Üniversitesi | en_US |
| dc.description.abstract | Purpose - The purpose of this paper is to consider the time-fractional diffusion-wave equation. The time-fractional diffusion equation is obtained from the standard diffusion equation by replacing the first-order time derivative with a fractional derivative of order ? ? (0, 2]. The fractional derivatives are described in the Caputo sense. Design/methodology/approach - The two methods in applied mathematics can be used as alternative methods for obtaining an analytic and approximate solution for different types of differential equations. Findings - Four examples are presented to show the application of the present techniques. In these schemes, the solution takes the form of a convergent series with easily computable components. The present methods perform extremely well in terms of efficiency and simplicity. Originality/value - In this paper, the variational iteration and homotopy perturbation methods are used to obtain a solution of a fractional diffusion equation. © Emerald Group Publishing Limited. | en_US |
| dc.identifier.doi | 10.1108/09615531011056809 | |
| dc.identifier.endpage | 654 | en_US |
| dc.identifier.issn | 0961-5539 | |
| dc.identifier.issn | 0961-5539 | en_US |
| dc.identifier.issue | 6 | en_US |
| dc.identifier.scopusquality | Q1 | en_US |
| dc.identifier.startpage | 638 | en_US |
| dc.identifier.uri | https://doi.org/10.1108/09615531011056809 | |
| dc.identifier.uri | https://hdl.handle.net/11454/19771 | |
| dc.identifier.volume | 20 | en_US |
| dc.indekslendigikaynak | Scopus | en_US |
| dc.language.iso | en | en_US |
| dc.relation.ispartof | International Journal of Numerical Methods for Heat and Fluid Flow | en_US |
| dc.relation.publicationcategory | Makale - Uluslararası Hakemli Dergi - Kurum Öğretim Elemanı | en_US |
| dc.rights | info:eu-repo/semantics/closedAccess | en_US |
| dc.subject | Differential equations | en_US |
| dc.subject | Flow | en_US |
| dc.subject | Heat | en_US |
| dc.subject | Iterative methods | en_US |
| dc.subject | Numerical analysis | en_US |
| dc.title | Applications of variational iteration and homotopy perturbation methods to obtain exact solutions for time-fractional diffusion-wave equations | en_US |
| dc.type | Article | en_US |
