Numerical solution of Burgers' equation with factorized diagonal Pade approximation


ALTIPARMAK K. , ÖZİŞ T.

INTERNATIONAL JOURNAL OF NUMERICAL METHODS FOR HEAT & FLUID FLOW, cilt.21, ss.310-319, 2011 (SCI İndekslerine Giren Dergi) identifier identifier

  • Cilt numarası: 21
  • Basım Tarihi: 2011
  • Doi Numarası: 10.1108/09615531111108486
  • Dergi Adı: INTERNATIONAL JOURNAL OF NUMERICAL METHODS FOR HEAT & FLUID FLOW
  • Sayfa Sayıları: ss.310-319

Özet

Purpose - The purpose of this paper is to present an approach capable of solving Burgers' equation. Diagonal Pade approximation with a factorization scheme is applied to find numerical solutions of the one-dimensional Burgers' equation by presenting explicit factoring the polynomials of the approximation. The numerical results obtained by this approach, for various values of viscosity, have been compared with the exact solution and are found to be in good agreement with each other.