An efficient cubic trigonometric B-spline collocation scheme for the time-fractional telegraph equation

被引:6
作者
Yaseen, Muhammad [1 ]
Abbas, Muhammad [1 ]
机构
[1] Univ Sargodha, Dept Math, Sargodha 40100, Pakistan
关键词
Time-fractional telegraph equation; finite difference method; Cubic trigonometric B-splines collocation method; Stability; Convergence; NUMERICAL-SOLUTION;
D O I
10.1007/s11766-020-3883-y
中图分类号
O29 [应用数学];
学科分类号
070104 ;
摘要
In this paper, a proficient numerical technique for the time-fractional telegraph equation (TFTE) is proposed. The chief aim of this paper is to utilize a relatively new type of B-spline called the cubic trigonometric B-spline for the proposed scheme. This technique is based on finite difference formulation for the Caputo time-fractional derivative and cubic trigonometric B-splines based technique for the derivatives in space. A stability analysis of the scheme is presented to confirm that the errors do not amplify. A convergence analysis is also presented. Computational experiments are carried out in addition to verify the theoretical analysis. Numerical results are contrasted with a few present techniques and it is concluded that the presented scheme is progressively right and more compelling.
引用
收藏
页码:359 / 378
页数:20
相关论文
共 34 条