Treatment of Boundary Conditions in One-Dimensional Wavelet-Galerkin Method

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概要

• 論文の詳細を見る

• One of the main problems of the Wavelet-Galerkin Method is the treatment of boundary conditions. To deal with this difficulty, the boundaries of wavelet series expansion are assumed to be the analytic boundaries of the problem. The boundary condition equations are replaced by end equations in the Galerkin system. The manipulation discussed here enables us to use classical wavelets and to tackle the problem more simply. However, we find that the end equations are a necessary part of the Galerkin equation system within the boundaries. To maintain the integrity of the system, the boundaries of wavelet series expansion are shifted until the end equations do not depend on any expansion coefficients c_k of φ(2^jx-k)that affect the solution within the real boundaries. Therefore replacing the end equations gives a good result in comparison to the exact solution.

• 一般社団法人日本機械学会の論文
• 1997-10-15

著者

• Miura Kimihisa

  Department Of Mechanical Engineering Mining College Akita University

• Ohyoshi Tadashi

  Department Of Mechanical Engineering Faculty Of Engineering And Resource Science Akita University

• Ohyoshi Tadashi

  Department Of Mechanical Engineering Mining College Akita University

• Lu Dianfeng

  Graduate School of Mining and Engineering, Akita University

• Lu Dianfeng

  Graduate School Of Mining And Engineering Akita University

• MIURA Kimihisa

  Department of Mechanical Engineering Faculty of Engineering and Resource Science, Akita University

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