• Numerical solution of the one-dimensional Burgers’ equation: Implicit and fully implicit exponential finite difference methods

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      Permanent link:
      https://www.ias.ac.in/article/fulltext/pram/081/04/0547-0556

    • Keywords

       

      Burgers’ equation; exponential finite difference method; implicit exponential finite difference method; fully implicit exponential finite difference method.

    • Abstract

       

      This paper describes two new techniques which give improved exponential finite difference solutions of Burgers’ equation. These techniques are called implicit exponential finite difference method and fully implicit exponential finite difference method for solving Burgers’ equation. As the Burgers’ equation is nonlinear, the scheme leads to a system of nonlinear equations. At each time-step, Newton’s method is used to solve this nonlinear system. The results are compared with exact values and it is clearly shown that results obtained using both the methods are precise and reliable.

    • Author Affiliations

       

      Bilge Inan1 Ahmet Refik Bahadir1

      1. Department of Mathematics, Faculty of Arts and Science, Inonu University, 44280 Malatya, Turkey
    • Dates

       
  • Pramana – Journal of Physics | News

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