APPROXIMATE SOLUTION OF NONLINEAR HYPERBOLIC EQUATIONS WITH HOMOGENEOUS JUMP CONDITIONS

Adewole, M. O

dc.contributor.author	Adewole, M. O
dc.date.accessioned	2022-06-15T12:56:01Z
dc.date.available	2022-06-15T12:56:01Z
dc.date.issued	2020-01-21
dc.identifier.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	en_US
dc.identifier.uri	http://localhost:8080/xmlui/handle/123456789/63
dc.description.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.	en_US
dc.description.sponsorship	Adewole, M. O.	en_US
dc.language.iso	en	en_US
dc.publisher	JOURNAL OF NUMERICAL ANALYSIS AND APPROXIMATION THEORY	en_US
dc.relation.ispartofseries	48;2
dc.subject	linearized backward difference	en_US
dc.subject	partial differential equations	en_US
dc.subject	Almost optimal	en_US
dc.subject	nonlinear hyperbolic equation	en_US
dc.title	APPROXIMATE SOLUTION OF NONLINEAR HYPERBOLIC EQUATIONS WITH HOMOGENEOUS JUMP CONDITIONS	en_US
dc.type	Article	en_US