L-Stable Block Backward Differentiation Formula for Parabolic Partial Differential Equations
| dc.contributor.author | Akinnukawe, B.I. | |
| dc.contributor.author | Akinfenwa, O.A. | |
| dc.contributor.author | Okunuga, S.A. | |
| dc.date.accessioned | 2019-09-19T12:27:17Z | |
| dc.date.available | 2019-09-19T12:27:17Z | |
| dc.date.issued | 2016 | |
| dc.description.abstract | In this paper, an L-stable Second Derivative Block Backward Differentiation Formula (SDBBDF) of order 5 is presented for the solutions of parabolic equations. It applied the use of the classical method of lines for the discretization of the parabolic equations. The method reduces the one-dimensional parabolic partial differential equation which has integral or non-integral boundary conditions to a system of Ordinary Differential Equations (ODEs) with initial conditions. The stability properties of the block method are investigated using the boundary locus plot and the method was found to be L-stable. The derived method is implemented on standard problems of parabolic equations and the results obtained show that the method is accurate and efficient. | en_US |
| dc.identifier.citation | Akinnukawe, B. I., Akinfenwa, O. A., & Okunuga, S. A. (2016). L-Stable Block Backward Differentiation Formula for Parabolic Partial Differential Equations. Ain Shams Engineering Journal, 7(2), 867-872. | en_US |
| dc.identifier.uri | https://ir.unilag.edu.ng/handle/123456789/5735 | |
| dc.language.iso | en | en_US |
| dc.publisher | Elsevier | en_US |
| dc.subject | Parabolic equation | en_US |
| dc.subject | Method of lines | en_US |
| dc.subject | L-stability | en_US |
| dc.subject | Second Derivative Block Backward Differentiation Formula | en_US |
| dc.subject | Research Subject Categories::MATHEMATICS | en_US |
| dc.title | L-Stable Block Backward Differentiation Formula for Parabolic Partial Differential Equations | en_US |
| dc.type | Article | en_US |