Trigonometric quadratic B-spline subdomain Galerkin algorithm for the Burgers' equation

Ay B., Dag İ., ZORŞAHİN GÖRGÜLÜ M.

OPEN PHYSICS, cilt.13, sa.1, ss.400-406, 2015 (SCI-Expanded) identifier identifier

  • Yayın Türü: Makale / Tam Makale
  • Cilt numarası: 13 Sayı: 1
  • Basım Tarihi: 2015
  • Doi Numarası: 10.1515/phys-2015-0059
  • Dergi Adı: OPEN PHYSICS
  • Derginin Tarandığı İndeksler: Science Citation Index Expanded (SCI-EXPANDED), Scopus
  • Sayfa Sayıları: ss.400-406
  • Eskişehir Osmangazi Üniversitesi Adresli: Evet

Özet

A variant of the subdomain Galerkin method has been set up to find numerical solutions of the Burgers' equation. Approximate function consists of the combination of the trigonometric B-splines. Integration of Burgers' equation has been achived by aid of the subdomain Galerkin method based on the trigonometric B-splines as an approximate functions. The resulting first order ordinary differential system has been converted into an iterative algebraic equation by use of the Crank-Nicolson method at successive two time levels. The suggested algorithm is tested on some well-known problems for the Burgers' equation.