Numerical solution of Burgers' equation with factorized diagonal Padé approximation
Makaleler > Tam Makale · 2011
Yazarlar: Kemal Altıparmak, Turgut Öziş
International Journal of Numerical Methods for Heat & Fluid Flow, Uluslararası, Wos, 2011, cilt 21, ss 310-319
DOI: 10.1108/09615531111108486
Özet
Purpose – The purpose of this paper is to present an approach capable of solving Burgers' equation. Diagonal Padé 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.