Makale detayı · 2020 · article
Weak solvability of the unconditionally stable difference scheme for the coupled sine-Gordon system
Veri kaynağı ayrımı
- YÖKSİSYÖKSİS makale kaydı
- YÖKSİS dergi adıNonlinear Analysis-Modelling and Control
- Katalog eşleşmesi (ISSN)Nonlinear Analysis: Modelling and Control
- OpenAlexOpenAlex zenginleştirmesi (özet, atıf, konular)
- Semantic Scholaratıf sayısı (OpenAlex ile birleştirilmez)
Özet
In this paper, we study the existence and uniqueness of weak solution for the system of finite difference schemes for coupled sine-Gordon equations. A novel first order of accuracy unconditionally stable difference scheme is considered. The variational method also known as the energy method is applied to prove unique weak solvability.We also present a new unified numerical method for the approximate solution of this problem by combining the difference scheme and the fixed point iteration. A test problem is considered, and results of numerical experiments are presented with error analysis to verify the accuracy of the proposed numerical method.
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