A new approach for one-dimensional sine-Gordon equation

Advances in Difference Equations

Dumitru Baleanu¹  Ali Akgl⁵  Mustafa Inc⁶  Adem Kilicman⁸ 

[1] ğ, Turkey;Department of Mathematics and Computer Sciences, Faculty of Arts and Sciences, ÇDepartment of Mathematics and Institute for Mathematical Research, University Putra Malaysia, Selangor, Malaysia;Department of Mathematics, Art and Science Faculty, Siirt University, Siirt, Turkey;Department of Mathematics, Science Faculty, Fıankaya University, Ankara, Turkey;rat University, Elazı

关键词: reproducing kernel method;    sine-Gordon equation;    bounded linear operator;    homogenizing;   

DOI  :  10.1186/s13662-015-0734-x

学科分类：数学（综合）

来源: SpringerOpen

【 摘 要 】

In this work, we use a reproducing kernel method for investigating the sine-Gordon equation with initial and boundary conditions. Numerical experiments are studied to show the efficiency of the technique. The acquired results are compared with the exact solutions and results obtained by different methods. These results indicate that the reproducing kernel method is very effective.

【 授权许可】

CC BY