Matches in SemOpenAlex for { <https://semopenalex.org/work/W2495569684> ?p ?o ?g. }
Showing items 1 to 81 of
81
with 100 items per page.
- W2495569684 endingPage "377" @default.
- W2495569684 startingPage "366" @default.
- W2495569684 abstract "In this work, we investigate numerically the classical Burgers–Fisher equation using a modified Bhattacharya method. The partial differential equation under investigation possesses nonnegative and bounded solutions and, under some suitable parameter conditions, these solutions are traveling waves. It is well known that the use of the Bhattacharya approach leads to the design of numerical techniques that are sensitive to zero solutions. However, in this manuscript, we provide a correction of that technique in order to approximate solutions of the Burgers–Fisher equation that are bounded in [ 0 , 1 ] . The proposed methodology is explicit, and we establish thoroughly the capability of the technique to preserve the non-negativity, the boundedness and the monotonicity of the numerical approximations, as well as the constant solutions of the continuous model. The new class of methods introduced in this work considers the presence of a free parameter, and we show that this family tends to an explicit and standard discretization of the Burgers–Fisher equation when the free parameter tends to infinity. Some simulations illustrate the main features of the method." @default.
- W2495569684 created "2016-08-23" @default.
- W2495569684 creator A5008223315 @default.
- W2495569684 creator A5055620640 @default.
- W2495569684 creator A5072754368 @default.
- W2495569684 date "2017-07-01" @default.
- W2495569684 modified "2023-09-27" @default.
- W2495569684 title "A modified Bhattacharya exponential method to approximate positive and bounded solutions of the Burgers–Fisher equation" @default.
- W2495569684 cites W1583664574 @default.
- W2495569684 cites W1965216750 @default.
- W2495569684 cites W1973384490 @default.
- W2495569684 cites W1975030571 @default.
- W2495569684 cites W1983055016 @default.
- W2495569684 cites W1983210915 @default.
- W2495569684 cites W2005827145 @default.
- W2495569684 cites W2007126313 @default.
- W2495569684 cites W2013981274 @default.
- W2495569684 cites W2018261462 @default.
- W2495569684 cites W2019522628 @default.
- W2495569684 cites W2020295264 @default.
- W2495569684 cites W2064260985 @default.
- W2495569684 cites W2076068269 @default.
- W2495569684 cites W2079949023 @default.
- W2495569684 cites W2081586729 @default.
- W2495569684 cites W2089654737 @default.
- W2495569684 cites W2092519403 @default.
- W2495569684 cites W2102781297 @default.
- W2495569684 cites W2104395499 @default.
- W2495569684 cites W2106967986 @default.
- W2495569684 cites W2587287691 @default.
- W2495569684 doi "https://doi.org/10.1016/j.cam.2016.07.026" @default.
- W2495569684 hasPublicationYear "2017" @default.
- W2495569684 type Work @default.
- W2495569684 sameAs 2495569684 @default.
- W2495569684 citedByCount "10" @default.
- W2495569684 countsByYear W24955696842017 @default.
- W2495569684 countsByYear W24955696842018 @default.
- W2495569684 countsByYear W24955696842019 @default.
- W2495569684 countsByYear W24955696842020 @default.
- W2495569684 countsByYear W24955696842021 @default.
- W2495569684 countsByYear W24955696842022 @default.
- W2495569684 countsByYear W24955696842023 @default.
- W2495569684 crossrefType "journal-article" @default.
- W2495569684 hasAuthorship W2495569684A5008223315 @default.
- W2495569684 hasAuthorship W2495569684A5055620640 @default.
- W2495569684 hasAuthorship W2495569684A5072754368 @default.
- W2495569684 hasBestOaLocation W24955696841 @default.
- W2495569684 hasConcept C129747778 @default.
- W2495569684 hasConcept C134306372 @default.
- W2495569684 hasConcept C151376022 @default.
- W2495569684 hasConcept C28826006 @default.
- W2495569684 hasConcept C33923547 @default.
- W2495569684 hasConcept C34388435 @default.
- W2495569684 hasConcept C93779851 @default.
- W2495569684 hasConceptScore W2495569684C129747778 @default.
- W2495569684 hasConceptScore W2495569684C134306372 @default.
- W2495569684 hasConceptScore W2495569684C151376022 @default.
- W2495569684 hasConceptScore W2495569684C28826006 @default.
- W2495569684 hasConceptScore W2495569684C33923547 @default.
- W2495569684 hasConceptScore W2495569684C34388435 @default.
- W2495569684 hasConceptScore W2495569684C93779851 @default.
- W2495569684 hasLocation W24955696841 @default.
- W2495569684 hasOpenAccess W2495569684 @default.
- W2495569684 hasPrimaryLocation W24955696841 @default.
- W2495569684 hasRelatedWork W1598979804 @default.
- W2495569684 hasRelatedWork W2018828049 @default.
- W2495569684 hasRelatedWork W2042726902 @default.
- W2495569684 hasRelatedWork W2136053165 @default.
- W2495569684 hasRelatedWork W2148351559 @default.
- W2495569684 hasRelatedWork W2224648581 @default.
- W2495569684 hasRelatedWork W2981770954 @default.
- W2495569684 hasRelatedWork W3080875783 @default.
- W2495569684 hasRelatedWork W3102909640 @default.
- W2495569684 hasRelatedWork W3185740784 @default.
- W2495569684 hasVolume "318" @default.
- W2495569684 isParatext "false" @default.
- W2495569684 isRetracted "false" @default.
- W2495569684 magId "2495569684" @default.
- W2495569684 workType "article" @default.