Matches in SemOpenAlex for { <https://semopenalex.org/work/W2975430634> ?p ?o ?g. }
Showing items 1 to 80 of
80
with 100 items per page.
- W2975430634 endingPage "112496" @default.
- W2975430634 startingPage "112496" @default.
- W2975430634 abstract "Numerical approximation of a general class of nonlinear unidirectional wave equations with a convolution-type nonlocality in space is considered. A semi-discrete numerical method based on both a uniform space discretization and the discrete convolution operator is introduced to solve the Cauchy problem. The method is proved to be uniformly convergent as the mesh size goes to zero. The order of convergence for the discretization error is linear or quadratic depending on the smoothness of the convolution kernel. The discrete problem defined on the whole spatial domain is then truncated to a finite domain. Restricting the problem to a finite domain introduces a localization error and it is proved that this localization error stays below a given threshold if the finite domain is large enough. For two particular kernel functions, the numerical examples concerning solitary wave solutions illustrate the expected accuracy of the method. Our class of nonlocal wave equations includes the Benjamin–Bona–Mahony equation as a special case and the present work is inspired by the previous work of Bona, Pritchard and Scott on numerical solution of the Benjamin–Bona–Mahony equation." @default.
- W2975430634 created "2019-10-03" @default.
- W2975430634 creator A5053897000 @default.
- W2975430634 creator A5067040150 @default.
- W2975430634 creator A5067514831 @default.
- W2975430634 date "2021-05-01" @default.
- W2975430634 modified "2023-09-27" @default.
- W2975430634 title "A semi-discrete numerical method for convolution-type unidirectional wave equations" @default.
- W2975430634 cites W2005380085 @default.
- W2975430634 cites W2108092007 @default.
- W2975430634 cites W2125919762 @default.
- W2975430634 cites W2157763285 @default.
- W2975430634 cites W2164158190 @default.
- W2975430634 cites W2232007249 @default.
- W2975430634 cites W2725452313 @default.
- W2975430634 cites W2963418621 @default.
- W2975430634 doi "https://doi.org/10.1016/j.cam.2019.112496" @default.
- W2975430634 hasPublicationYear "2021" @default.
- W2975430634 type Work @default.
- W2975430634 sameAs 2975430634 @default.
- W2975430634 citedByCount "6" @default.
- W2975430634 countsByYear W29754306342020 @default.
- W2975430634 countsByYear W29754306342021 @default.
- W2975430634 countsByYear W29754306342022 @default.
- W2975430634 crossrefType "journal-article" @default.
- W2975430634 hasAuthorship W2975430634A5053897000 @default.
- W2975430634 hasAuthorship W2975430634A5067040150 @default.
- W2975430634 hasAuthorship W2975430634A5067514831 @default.
- W2975430634 hasBestOaLocation W29754306342 @default.
- W2975430634 hasConcept C102634674 @default.
- W2975430634 hasConcept C119857082 @default.
- W2975430634 hasConcept C134306372 @default.
- W2975430634 hasConcept C202444582 @default.
- W2975430634 hasConcept C28826006 @default.
- W2975430634 hasConcept C33923547 @default.
- W2975430634 hasConcept C36503486 @default.
- W2975430634 hasConcept C41008148 @default.
- W2975430634 hasConcept C45347329 @default.
- W2975430634 hasConcept C48753275 @default.
- W2975430634 hasConcept C50644808 @default.
- W2975430634 hasConcept C59696629 @default.
- W2975430634 hasConcept C73000952 @default.
- W2975430634 hasConcept C74193536 @default.
- W2975430634 hasConceptScore W2975430634C102634674 @default.
- W2975430634 hasConceptScore W2975430634C119857082 @default.
- W2975430634 hasConceptScore W2975430634C134306372 @default.
- W2975430634 hasConceptScore W2975430634C202444582 @default.
- W2975430634 hasConceptScore W2975430634C28826006 @default.
- W2975430634 hasConceptScore W2975430634C33923547 @default.
- W2975430634 hasConceptScore W2975430634C36503486 @default.
- W2975430634 hasConceptScore W2975430634C41008148 @default.
- W2975430634 hasConceptScore W2975430634C45347329 @default.
- W2975430634 hasConceptScore W2975430634C48753275 @default.
- W2975430634 hasConceptScore W2975430634C50644808 @default.
- W2975430634 hasConceptScore W2975430634C59696629 @default.
- W2975430634 hasConceptScore W2975430634C73000952 @default.
- W2975430634 hasConceptScore W2975430634C74193536 @default.
- W2975430634 hasLocation W29754306341 @default.
- W2975430634 hasLocation W29754306342 @default.
- W2975430634 hasLocation W29754306343 @default.
- W2975430634 hasLocation W29754306344 @default.
- W2975430634 hasOpenAccess W2975430634 @default.
- W2975430634 hasPrimaryLocation W29754306341 @default.
- W2975430634 hasRelatedWork W2026429444 @default.
- W2975430634 hasRelatedWork W2057106870 @default.
- W2975430634 hasRelatedWork W2065259706 @default.
- W2975430634 hasRelatedWork W2100703932 @default.
- W2975430634 hasRelatedWork W2486054192 @default.
- W2975430634 hasRelatedWork W2798276124 @default.
- W2975430634 hasRelatedWork W3005552090 @default.
- W2975430634 hasRelatedWork W4289790310 @default.
- W2975430634 hasRelatedWork W4303622121 @default.
- W2975430634 hasRelatedWork W2339824660 @default.
- W2975430634 hasVolume "387" @default.
- W2975430634 isParatext "false" @default.
- W2975430634 isRetracted "false" @default.
- W2975430634 magId "2975430634" @default.
- W2975430634 workType "article" @default.