New Numerical Method for Solving Eigenvalue Problems Described by Coupled Second-Order Differential Equations

• Watanabe Tsuguhiro

  Institute for Fusion Theory, Hiroshima University

• Tange Toshio

  Institute for Fusion Theory, Hiroshima University

• Ueno Chikara

  Faculty of Science, Hiroshima University

• Irié Haruyuki

  Faculty of Science, Hiroshima University

• Hojo Hitoshi

  Faculty of Science, Hiroshima University

• Nishikawa Kyoji

  Faculty of Science, Hiroshima University

書誌事項

タイトル別名

• New Numerical Method for Solving Eigenv

抄録

A systematic iteration scheme is presented to numerically solve the eigenvalue problem described by a coupled set of second-order differential equations under the boundary conditions that the solution is localized near the origin. The method consists of the application of Newton’s iteration scheme to the shooting method. A useful analytical expression for the correction to the trial eigenvalue is obtained. Application is made for two examples, simple harmonic oscillator and electro-magnetic drift-wave in a finite-β plasma in a sheared magnetic field, to demonstrate a remarkable stability, efficiency and accuracy of the method. In the latter example, reduction of the CPU time by factor 20–30 is obtained as compared with the standard simplex method.

収録刊行物

• Ｊｏｕｒｎａｌ　ｏｆ　ｔｈｅ　Ｐｈｙｓｉｃａｌ　Ｓｏｃｉｅｔｙ　ｏｆ　Ｊａｐａｎ

  Ｊｏｕｒｎａｌ　ｏｆ　ｔｈｅ　Ｐｈｙｓｉｃａｌ　Ｓｏｃｉｅｔｙ　ｏｆ　Ｊａｐａｎ 49 (1), 376-384, 1980

  一般社団法人 日本物理学会

キーワード

• General Physics and Astronomy

詳細情報

• CRID: 1390001204182916992
• NII論文ID: 110001965098
• NII論文ID: 130003896434
• NII論文ID: 210000089012
• NII書誌ID: AA00704814
• DOI: 10.1143/jpsj.49.376
• BIBCODE: 1980JPSJ...49..376W
• COI: 1:CAS:528:DyaL3cXltVWks70%3D
• ISSN: 13474073
• ISSN: 00319015
• MRID: 598402
• NDL書誌ID: 2185266
• Web Site: https://ndlsearch.ndl.go.jp/books/R000000004-I2185266
• Web Site: https://journals.jps.jp/doi/pdf/10.1143/JPSJ.49.376
• 本文言語コード: en
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