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Nonic B-spline algorithms for numerical solution of the Kawahara equation
2022
Journal:  
Turkish Journal of Mathematics
Author:  
DOI:  
10.55730/1300-0098.3307
Abstract:

In this paper, the nonic (9th order) B-spline functions which have not been used before for the numerical solutions of the partial differential equations by finite element methods are used to solve numerically the Kawahara equation. These approaches involve the collocation and Galerkin finite element methods based on the nonic B-spline functions in space discretization and second order scheme (Crank-Nicolson method) in time discretization. To see the accuracy of the proposed methods three test problems are demonstrated and the obtained numerical results for both of the methods are compared with the exact solution of the Kawahara equation.

Keywords:

2022
Journal:  
Turkish Journal of Mathematics
Author:  
DOI:  
10.55730/1300-0098.3307
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Turkish Journal of Mathematics

Field :   Fen Bilimleri ve Matematik

Journal Type :   Uluslararası

Metrics
Article : 2.274
Cite : 712
2023 Impact : 0.039
Details
Turkish Journal of Mathematics