Exponential Twice Continuously Differentiable B-Spline Algorithm for Burgers' Equation

ERSOY HEPSON Ö., Dag İ., ADAR N.

UKRAINIAN MATHEMATICAL JOURNAL, vol.70, no.6, pp.906-921, 2018 (SCI-Expanded) identifier identifier

  • Publication Type: Article / Article
  • Volume: 70 Issue: 6
  • Publication Date: 2018
  • Doi Number: 10.1007/s11253-018-1541-9
  • Journal Name: UKRAINIAN MATHEMATICAL JOURNAL
  • Journal Indexes: Science Citation Index Expanded (SCI-EXPANDED), Scopus
  • Page Numbers: pp.906-921
  • Eskisehir Osmangazi University Affiliated: Yes

Abstract

Exponential twice continuously differentiable B-spline functions (known from the literature as exponential) are used to set up the collocation method for finding solutions of Burgers' equation. The effect of exponential cubic B-splines in the collocation method is analyzed by studying the test problems.