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B-spline collocation methods for numerical solutions of the Burgers' equation

Author

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  • Idris Dag
  • Dursun Irk
  • Ali Sahin

Abstract

Both time- and space-splitted Burgers' equations are solved numerically. Cubic B-spline collocation method is applied to the time-splitted Burgers' equation. Quadratic B-spline collocation method is used to get numerical solution of the space-splitted Burgers' equation. The results of both schemes are compared for some test problems.

Suggested Citation

  • Idris Dag & Dursun Irk & Ali Sahin, 2005. "B-spline collocation methods for numerical solutions of the Burgers' equation," Mathematical Problems in Engineering, Hindawi, vol. 2005, pages 1-18, January.
    • Handle: RePEc:hin:jnlmpe:928423
    DOI: 10.1155/MPE.2005.521
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    Cited by:

    1. Singh, Brajesh Kumar & Gupta, Mukesh, 2021. "A new efficient fourth order collocation scheme for solving Burgers’ equation," Applied Mathematics and Computation, Elsevier, vol. 399(C).
    2. Abdullah, Muhammad & Yaseen, Muhammad & De la Sen, Manuel, 2022. "An efficient collocation method based on Hermite formula and cubic B-splines for numerical solution of the Burgers’ equation," Mathematics and Computers in Simulation (MATCOM), Elsevier, vol. 197(C), pages 166-184.
    3. Ishtiaq Ali & Muhammad Yaseen & Muhammad Abdullah & Sana Khan & Fethi Bin Muhammad Belgacem, 2023. "An Innovative Numerical Method Utilizing Novel Cubic B-Spline Approximations to Solve Burgers’ Equation," Mathematics, MDPI, vol. 11(19), pages 1-19, September.

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