A multiscale Galerkin method for second-order boundary value problems of Fredholm integro-differential equation

• Jian Chen ^[1] ; Yong Huang ^[1] ; Haiwu Rong ^[1] ; Tingting Wu ^[3] ; Taishan Zeng ^[2]
  1. [1] Foshan University

     Foshan University

     China

     
  2. [2] South China Normal University

     South China Normal University

     China

     
  3. [3] Shangdong Normal University, PR China

  Mostrar afiliaciones +
• Localización: Journal of computational and applied mathematics, ISSN 0377-0427, Vol. 290, Nº 1, 2015, págs. 633-640
• Idioma: inglés
• DOI: 10.1016/j.cam.2015.06.020
• Enlaces
  • Texto completo
• Resumen

  • In this paper, multiscale Galerkin method is presented to approximate the solutions of second-order boundary value problems of Fredholm integro-differential equation. The method is based on traditional Galerkin method and uses the multiscale orthonormal bases to discretize the equations. The proposed method is proved to be stable and have the optimal convergence order. Numerical examples are presented to confirm the theoretical results and show that the method is computationally stable, valid and accurate.