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Pointwise error estimate of conservative difference scheme for supergeneralized viscous Burgers' equation

التفاصيل البيبلوغرافية
العنوان: Pointwise error estimate of conservative difference scheme for supergeneralized viscous Burgers' equation
المؤلفون: Yang Shi, Xuehua Yang
المصدر: Electronic Research Archive, Vol 32, Iss 3, Pp 1471-1497 (2024)
بيانات النشر: AIMS Press, 2024.
سنة النشر: 2024
المجموعة: LCC:Mathematics
LCC:Applied mathematics. Quantitative methods
مصطلحات موضوعية: supergeneralized viscous burgers' equation, finite difference method, conservativity, pointwise error estimate, convergence, Mathematics, QA1-939, Applied mathematics. Quantitative methods, T57-57.97
الوصف: This work focuses on exploring pointwise error estimate of three-level conservative difference scheme for supergeneralized viscous Burgers' equation. The cut-off function method plays an important role in constructing difference scheme and presenting numerical analysis. We study the conservative invariant of proposed method, which is energy-preserving for all positive integers $ p $ and $ q $. Meanwhile, one could apply the discrete energy argument to the rigorous proof that the three-level scheme has unique solution combining the mathematical induction. In addition, we prove the $ L_2 $-norm and $ L_{\infty} $-norm convergence of proposed scheme in pointwise sense with separate and different ways, which is different from previous work in [1]. Numerical results verify the theoretical conclusions.
نوع الوثيقة: article
وصف الملف: electronic resource
اللغة: English
تدمد: 2688-1594
Relation: https://doaj.org/toc/2688-1594
DOI: 10.3934/era.2024068?viewType=HTML
DOI: 10.3934/era.2024068
URL الوصول: https://doaj.org/article/d7fa624221c640b3a698ed86f1d534c7
رقم الأكسشن: edsdoj.7fa624221c640b3a698ed86f1d534c7
قاعدة البيانات: Directory of Open Access Journals
الوصف
تدمد:26881594
DOI:10.3934/era.2024068?viewType=HTML