Non-polynomial cubic spline discretization for system of non-linear singular boundary value problems using variable mesh

Advances in Difference Equations

Arshad Khan¹  Sucheta Nayak²  Ranjan Kumar Mohanty³ 

[1] Department of Mathematics, Jamia Millia Islamia, New Delhi, India;Department of Mathematics, Lady Shri Ram College for Women, University of Delhi, New Delhi, India;Department of Mathematics, South Asian University, New Delhi, India

关键词: non-polynomial;    cubic spline;    variable mesh;    singular;    non-linear;   

DOI  :  10.1186/s13662-017-1380-2

学科分类：数学（综合）

来源: SpringerOpen

【 摘 要 】

In this paper, we propose two generalized non-polynomial cubic spline schemes using a variable mesh to solve the system of non-linear singular two point boundary value problems. Theoretical analysis proves that the proposed methods have second- and third-order convergence. Both methods are applicable to singular boundary value problems. Numerical results are also provided to show the accuracy and efficiency of the proposed methods.

【 授权许可】

CC BY