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Solving a Class of Singular Fifth-Order Boundary Value Problems Using Reproducing Kernel Hilbert Space Method

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  • Yulan Wang
  • Shuai Lu
  • Fugui Tan
  • Mingjing Du
  • Hao Yu

Abstract

We use the reproducing kernel Hilbert space method to solve the fifth-order boundary value problems. The exact solution to the fifth-order boundary value problems is obtained in reproducing kernel space. The approximate solution is given by using an iterative method and the finite section method. The present method reveals to be more effective and convenient compared with the other methods.

Suggested Citation

  • Yulan Wang & Shuai Lu & Fugui Tan & Mingjing Du & Hao Yu, 2013. "Solving a Class of Singular Fifth-Order Boundary Value Problems Using Reproducing Kernel Hilbert Space Method," Abstract and Applied Analysis, Hindawi, vol. 2013, pages 1-6, July.
    • Handle: RePEc:hin:jnlaaa:925192
    DOI: 10.1155/2013/925192
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