Article detail · 2020 · article
Weak solvability of the unconditionally stable difference scheme for the coupled sine-Gordon system
Data source split
- YÖKSİSYÖKSİS article record
- YÖKSİS venueNonlinear Analysis-Modelling and Control
- Catalog match (ISSN)Nonlinear Analysis: Modelling and Control
- OpenAlexOpenAlex enrichment (abstract, citations, topics)
- Semantic Scholarcitation count (not merged with OpenAlex)
Abstract
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.
Topics
Citations
OpenAlex cited_by_count. Not a WoS or Scopus citation count; those sources have no separate column here.
12citationsOpenAlex · cited_by_count (cache / database)
19 publications in the local catalog that cite this work (OpenAlex reference match; not the full global list).
- 2022 New Exact Solutions of Some Important Nonlinear Fractional Partial Differential Equations with Beta DerivativeCitations 45 · OpenAlex
- 2023 On Exact Solutions of Some Space–Time Fractional Differential Equations with M-truncated DerivativeCitations 23 · OpenAlex
- 2023 On Exact Solutions of Some Space-Time Fractional Differential Equations with M-truncated DerivativeCitations 23 · OpenAlex
- 2023 On Exact Solutions of Some Space-Time Fractional Differential Equations with M-truncated DerivativeCitations 23 · OpenAlex
- 2022 Analytical solutions of (2+1)-dimensional time conformable Schrodinger equation using improved sub-equation methodCitations 17 · OpenAlex
- 2022 Analytical solutions of (2+1)-dimensional time conformable Schrodinger equation using improved sub-equation methodCitations 17 · OpenAlex
- 2023 On the exact solutions of optical perturbed fractional Schrödinger equationCitations 11 · OpenAlex
- 2023 On the exact solutions of optical perturbed fractional Schrödinger equationCitations 11 · OpenAlex
- 2023 On the exact solutions of optical perturbed fractional Schrödinger equationCitations 11 · OpenAlex
- 2024 A study of novel optical solutions of the space-time fractional cubic nonlinear Schrodinger equationCitations 7 · OpenAlex