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Anti-periodic solutions for Rayleigh-type equations via the reproducing kernel Hilbert space method

  • Wei Jiang
  • , Minggen Cui*
  • , Yingzhen Lin
  • *Corresponding author for this work
  • Harbin Institute of Technology Weihai

Research output: Contribution to journalArticlepeer-review

Abstract

In this paper, reproducing kernel theorem is employed to solve anti-periodic solutions for Rayleigh-type equations. A simple algorithm is given to obtain the approximate solutions of the equations. By comparing the approximate solution with the exact analytical solution, we find that the simple algorithm is of good accuracy and it can be also applied to some ordinary or partial differential equations with initial-boundary value conditions and nonlocal boundary value conditions.

Original languageEnglish
Pages (from-to)1754-1758
Number of pages5
JournalCommunications in Nonlinear Science and Numerical Simulation
Volume15
Issue number7
DOIs
StatePublished - Jul 2010
Externally publishedYes

Keywords

  • Anti-periodic solutions
  • Rayleigh-type equations
  • Reproducing kernel theorem

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