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http://localhost:8080/xmlui/handle/123456789/811| Title: | Linearized four-step implicit scheme for nonlinear parabolic interface problems |
| Authors: | ADEWOLE, M. O PAYNE, V. F |
| Keywords: | Four-step implicit, interface, almost-optimal, nonlinear parabolic equation |
| Issue Date: | 3-Oct-2018 |
| Publisher: | Turkish Journal of Mathematics |
| Citation: | Adewole, M. O & Payne, V. F. (2018). Linearized four-step implicit scheme for nonlinear parabolic interface problems. Turkish Journal of Mathematics. 42: 3034 – 3049 |
| Series/Report no.: | 42; |
| Abstract: | We present the solution of a second-order nonlinear parabolic interface problem on a quasiuniform triangular finite element with a linearized four-step implicit scheme used for the time discretization. The convergence of the scheme in L 2 -norm is established under certain regularity assumptions using interpolation and elliptic projection operators. A numerical experiment is presented to support the theoretical result. It is assumed that the interface cannot be fitted exactly. |
| URI: | http://localhost:8080/xmlui/handle/123456789/811 |
| Appears in Collections: | Computer Science |
Files in This Item:
| File | Description | Size | Format | |
|---|---|---|---|---|
| 2018-3pdf.pdf | 355.21 kB | Adobe PDF | View/Open |
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