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Numerical Solution of the coupled Burgers' equation by Trigonometric B-spline Collocation Method
  • Yusuf UCAR,
  • Nuri YAGMURLU,
  • Mehmet YİĞİT
Yusuf UCAR
Inonu Universitesi

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Inonu University
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Mehmet YİĞİT
Inonu Universitesi
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In the present study, the coupled Burgers’ equation is going to be solved numerically by presenting a new technique based on collocation finite element method in which trigonometric cubic and quintic B-splines are used as approximate functions. In order to support the present study, three test problems given with appropriate initial and boundary conditions are studied. The newly obtained results are compared with some of the other published numerical solutions available in the literature. The accuracy of the proposed method is discussed by computing the error norms L₂ and L_{∞}. A linear stability analysis of the approximation obtained by the scheme shows that the method is unconditionally stable.
05 Sep 2021Submitted to Mathematical Methods in the Applied Sciences
06 Sep 2021Submission Checks Completed
06 Sep 2021Assigned to Editor
20 Sep 2021Reviewer(s) Assigned
01 Aug 2022Review(s) Completed, Editorial Evaluation Pending
02 Aug 2022Editorial Decision: Revise Major
17 Aug 20221st Revision Received
18 Aug 2022Submission Checks Completed
18 Aug 2022Assigned to Editor
18 Aug 2022Reviewer(s) Assigned
10 Oct 2022Review(s) Completed, Editorial Evaluation Pending
31 Oct 2022Editorial Decision: Accept