A Special Case on the Stability and Accuracy for the 1D Heat Equation Using 3-Level and <i>θ</i>-Schemes

• 作者: José Gerardo Cardona Luz María Rojas Pedro Pablo Cárdenas Alzate
• 来源期刊: 应用数学(英文)
• 学科: 数学
• 关键词: Global TRUNCATION Local ACCURACY Stability RESTRICTION
• 年，卷（期）: yysxyw_2015,（3）
• 页码范围: 476-483
• 页数: 8页
• 分类号: O1

摘要

We establish the conditions for the compute of the stability restriction and local accuracy on the time step and we prove the consistency and local truncation error by using θ-scheme and 3-level scheme for Heat Equation with smooth initial conditions and for some parameter θ∈[0,1].