A Stable Numerical Scheme for a Lengyel-Epstein Reaction Diffusion Model.
We study a reaction diffusion Lengyel-Epstein system, which describes the formation of chemical Turing patterns. An unconditionally stable semi-implicit difference scheme is proposed for the system. It is proven that the numerical scheme is uniquely solvable and inherits the properties of the origin...
| Publicado en: | Journal of the Utah Academy of Sciences, Arts & Letters Vol. 102; p. 383 |
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| Formato: | Artículo |
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Utah Academy of Sciences, Arts & Letters
2025
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| Acceso en línea: | Ver este registro en EBSCOhost |
| fields | @attributes: recordID: 1 pdfLink: plink: https://search.ebscohost.com/login.aspx?direct=true&db=ssf&AN=193377512&site=ehost-live header: @attributes: shortDbName: ssf uiTerm: 193377512 longDbName: Social Sciences Full Text (H.W. Wilson) uiTag: AN controlInfo: bkinfo: jinfo: jid: B0JA jtl: Journal of the Utah Academy of Sciences, Arts & Letters maglogo: N pubinfo: dt: 2025 vid: 102 pid: 59066 pub: Utah Academy of Sciences, Arts & Letters artinfo: ui: 193377512 ppf: 383 ppct: 0 formats: fmt: @attributes: type: P size: 269KB tig: atl: A Stable Numerical Scheme for a Lengyel-Epstein Reaction Diffusion Model. aug: au: Han, Jianlong affil: Southern Utah University. su: Reaction-diffusion equations Finite difference method Equilibrium Discretization methods Stability theory Pattern formation (Physical sciences) sug: subj: Reaction-diffusion equations Finite difference method Equilibrium Discretization methods Stability theory Pattern formation (Physical sciences) ab: We study a reaction diffusion Lengyel-Epstein system, which describes the formation of chemical Turing patterns. An unconditionally stable semi-implicit difference scheme is proposed for the system. It is proven that the numerical scheme is uniquely solvable and inherits the properties of the original system. The long-term behavior of the numerical solution is analyzed. pubtype: Academic Journal doctype: Article src: R language: English refInfo: copyright: @attributes: flag: N holdings: @attributes: islocal: N |
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