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Wavelet Numerical Solutions for a Class of Elliptic Equations with Homogeneous Boundary Conditions

Author

Listed:
  • Jinru Wang

    (Department of Mathematics, Beijing University of Technology, Beijing 100124, China)

  • Wenhui Shi

    (Department of Mathematics, Beijing University of Technology, Beijing 100124, China)

  • Lin Hu

    (Institute of Fundamental and Interdisciplinary Sciences, Beijing Union University, Beijing 100101, China)

Abstract

This paper focuses on a method to construct wavelet Riesz bases with homogeneous boundary condition and use them to a kind of second-order elliptic equation. First, we construct the splines on the interval [ 0 , 1 ] and consider their approximation properties. Then we define the wavelet bases and illustrate the condition numbers of stiffness matrices are small and bounded. Finally, several numerical examples show that our approach performs efficiently.

Suggested Citation

  • Jinru Wang & Wenhui Shi & Lin Hu, 2021. "Wavelet Numerical Solutions for a Class of Elliptic Equations with Homogeneous Boundary Conditions," Mathematics, MDPI, vol. 9(12), pages 1-13, June.
    • Handle: RePEc:gam:jmathe:v:9:y:2021:i:12:p:1381-:d:574955
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