| dc.contributor.author | Harendra Singh | |
| dc.contributor.author | C.S. Singh | |
| dc.contributor.other | Corresponding author.; Department of Mathematical Sciences, Indian Institute of Technology, Banaras Hindu University, Varanasi 221005, India | |
| dc.contributor.other | Department of Mathematical Sciences, Indian Institute of Technology, Banaras Hindu University, Varanasi 221005, India | |
| dc.date.accessioned | 2025-10-09T05:17:29Z | |
| dc.date.available | 2025-10-09T05:17:29Z | |
| dc.date.issued | 01-12-2018 | |
| dc.identifier.uri | http://www.sciencedirect.com/science/article/pii/S2090447916300405 | |
| dc.identifier.uri | http://digilib.fisipol.ugm.ac.id/repo/handle/15717717/40922 | |
| dc.description.abstract | In this paper we solve initial and boundary value problem for non-homogeneous fractional order partial differential equations. Here we use operational matrix approach to construct approximate solutions using Legendre scaling functions as basis. We also give the error analysis of the proposed method. Some numerical examples are given to verify the theoretical bound of error and to show the stability of the proposed method. Results are also compared with some known methods and it is observed that our method is more easy to implement and accurate. Keywords: Two dimensional Legendre scaling function, Operational matrix, Fractional order partial differential equations, System of linear algebraic equations | |
| dc.language.iso | EN | |
| dc.publisher | Elsevier | |
| dc.subject.lcc | Engineering (General). Civil engineering (General) | |
| dc.title | Stable numerical solutions of fractional partial differential equations using Legendre scaling functions operational matrix | |
| dc.type | Article | |
| dc.description.pages | 717-725 | |
| dc.description.doi | 10.1016/j.asej.2016.03.013 | |
| dc.title.journal | Ain Shams Engineering Journal | |
| dc.identifier.oai | oai:doaj.org/journal:1db1f124cfee4943a5755279eec3fbd9 | |
| dc.journal.info | Volume 9, Issue 4 | |
