A septic B-spline collocation method for solving the generalized equal width wave equation

Kuwait Journal of Science

Halil Zeybek²  Seydi B. G. Karakoc¹ 

[1] Dept. of Mathematics, Faculty of Science and Art, NevÅŸehir Hacı BektaÅŸ Veli University, Turkey;Departm. of Appl. Math., Faculty of Comp. Sci., Abdullah Gul Univ., Turkey

关键词: Collocation method;    GEW equation;    septic B-spline;    solitary waves;    soliton.;   

DOI  :  

学科分类：社会科学、人文和艺术（综合）

来源: Kuwait University * Academic Publication Council

【 摘 要 】

In this work, a septic B-spline collocation method is implemented to find the numerical solution of the generalized equalwidth (GEW) wave equation by using two different linearization techniques. Test problems including single soliton,interaction of solitons and Maxwellian initial condition are solved to verify the proposed method by calculating the errornorms L2 and L∞ and the invariants I1, I2 and I3. Applying the Von-Neumann stability analysis, the proposed method isshown to be unconditionally stable. As a result, the obtained results are found in good agreement with the some recentresults.

【 授权许可】

Unknown