Numerical analysis of a two-parameter fractional telegraph equation
dc.contributor.author | Ford, Neville J. | * |
dc.contributor.author | Rodrigues, M. M. | * |
dc.contributor.author | Xiao, Jingyu | * |
dc.contributor.author | Yan, Yubin | * |
dc.date.accessioned | 2019-03-11T14:55:13Z | |
dc.date.available | 2019-03-11T14:55:13Z | |
dc.date.issued | 2013-09-26 | |
dc.identifier.citation | Ford, N. J., Rodrigus, M. M., Xiao, J. & Yan, Y. (2013). Numerical analysis of a teo-parameter fractional telegraph equation. Journal of Computational and Applied Mathematics, 249, 95-106. | en |
dc.identifier.issn | 0377-0427 | |
dc.identifier.doi | 10.1016/j.cam.2013.02.009 | |
dc.identifier.uri | http://hdl.handle.net/10034/621967 | |
dc.description.abstract | In this paper we consider the two-parameter fractional telegraph equation of the form $$-\, ^CD_{t_0^+}^{\alpha+1} u(t,x) + \, ^CD_{x_0^+}^{\beta+1} u (t,x)- \, ^CD_{t_0^+}^{\alpha}u (t,x)-u(t,x)=0.$$ Here $\, ^CD_{t_0^+}^{\alpha}$, $\, ^CD_{t_0^+}^{\alpha+1}$, $\, ^CD_{x_0^+}^{\beta+1}$ are operators of the Caputo-type fractional derivative, where $0\leq \alpha < 1$ and $0 \leq \beta < 1$. The existence and uniqueness of the equations are proved by using the Banach fixed point theorem. A numerical method is introduced to solve this fractional telegraph equation and stability conditions for the numerical method are obtained. Numerical examples are given in the final section of the paper. | |
dc.language.iso | en | en |
dc.publisher | Elsevier | en |
dc.relation.url | https://www.sciencedirect.com/science/article/pii/S0377042713000691 | en |
dc.rights | Attribution 4.0 International | * |
dc.rights.uri | http://creativecommons.org/licenses/by-nc-nd/4.0/ | en |
dc.subject | fractional telegraph equation | en |
dc.subject | numerical analysis | en |
dc.title | Numerical analysis of a two-parameter fractional telegraph equation | en |
dc.type | Article | en |
dc.identifier.eissn | 1879-1778 | |
dc.contributor.department | University of Chester, Harbin Institute of Technology, University of Aveiro, Campus Universitario de Santiago | en |
dc.identifier.journal | Journal of Computational and Applied Mathematics | |
dc.date.accepted | 2013-09-26 | |
or.grant.openaccess | Yes | en |
rioxxterms.funder | unfunded research | en_US |
rioxxterms.identifier.project | unfunded research | en_US |
rioxxterms.version | AM | en |
rioxxterms.licenseref.startdate | 2015-02-26 |