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http://localhost:8080/xmlui/handle/123456789/63| Title: | APPROXIMATE SOLUTION OF NONLINEAR HYPERBOLIC EQUATIONS WITH HOMOGENEOUS JUMP CONDITIONS |
| Authors: | Adewole, M. O |
| Keywords: | linearized backward difference partial differential equations Almost optimal nonlinear hyperbolic equation |
| Issue Date: | 21-Jan-2020 |
| Publisher: | JOURNAL OF NUMERICAL ANALYSIS AND APPROXIMATION THEORY |
| Citation: | Adewole, M. O. (2020). Approximate solution of nonlinear hyperbolic equations with homogeneous jump conditions. J. Numer. Anal. Approx. Theory, 48(2), 122–136. Retrieved from https://ictp.acad.ro/jnaat/journal/article/view/1175 |
| Series/Report no.: | 48;2 |
| Abstract: | We present the error analysis of a class of second-order nonlinear hyperbolic interface problems where the spatial and time discretizations are based on a finite element method and linearized backward difference scheme respectively. Both semi-discrete and fully discrete schemes are analyzed with the assumption that the interface is arbitrary but smooth. Almost optimal convergence rate in the H1-norm is obtained. Numerical examples are given to support the theoretical result. |
| URI: | http://localhost:8080/xmlui/handle/123456789/63 |
| Appears in Collections: | Mathematics |
Files in This Item:
| File | Description | Size | Format | |
|---|---|---|---|---|
| 1175-article-text-1852-1-10-20200129pdf.pdf | 1.05 MB | Adobe PDF | View/Open |
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