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Numerical Solution for Third-Order Two-Point Boundary Value Problems with the Barycentric Rational Interpolation Collocation Method

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  • Qian Ge
  • Xiaoping Zhang
  • Jin Li

Abstract

The numerical solution for a kind of third-order boundary value problems is discussed. With the barycentric rational interpolation collocation method, the matrix form of the third-order two-point boundary value problem is obtained, and the convergence and error analysis are obtained. In addition, some numerical examples are reported to confirm the theoretical analysis.

Suggested Citation

  • Qian Ge & Xiaoping Zhang & Jin Li, 2021. "Numerical Solution for Third-Order Two-Point Boundary Value Problems with the Barycentric Rational Interpolation Collocation Method," Journal of Mathematics, Hindawi, vol. 2021, pages 1-6, February.
    • Handle: RePEc:hin:jjmath:6698615
    DOI: 10.1155/2021/6698615
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