Numerical verification of solutions of Nekrasov's integral equation

S. Murashige, S. Oishi

研究成果: Article

2 引用 (Scopus)

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This paper describes numerical verification of solutions of Nekrasov's integral equation which is a mathematical model of two-dimensional water waves. This nonlinear and periodic integral equation includes a logarithmic singular kernel which is typically found in some two-dimensional potential problems. We propose the verification method using some properties of the singular integral for trigonometric polynomials and Schauder's fixed point theorem in the periodic Sobolev space. A numerical example shows effectiveness of the present method.

元の言語English
ページ(範囲)15-25
ページ数11
ジャーナルComputing (Vienna/New York)
75
発行部数1 SPEC. ISS.
DOI
出版物ステータスPublished - 2005 7 1

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ASJC Scopus subject areas

  • Software
  • Theoretical Computer Science
  • Numerical Analysis
  • Computer Science Applications
  • Computational Theory and Mathematics
  • Computational Mathematics

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