An efficient algorithm combining an optimized hybrid block method and the differential quadrature method for solving Hunter–Saxton equation

被引：0
作者：
Anurag Kaur
V. Kanwar
Higinio Ramos
机构：
[1] Panjab University,Department of Mathematics
[2] Panjab University,University Institute of Engineering and Technology
[3] University of Salamanca,Departamento de Matemática Aplicada
来源：
Journal of Mathematical Chemistry | 2023年 / 61卷
关键词：
Hunter–Saxton equation; Cubic trigonometric B-splines; Hybrid block method; Differential quadrature; 65N35; 35F50;
D O I：
暂无
中图分类号：
学科分类号：
摘要：
In this paper, the numerical solution of a mixed derivative type Hunter–Saxton equation is addressed. A given equation is discretized transforming it into a system of ODEs with the use of a cubic trigonometric B-splines based differential quadrature method. The system is further solved using a fifth-order optimized one-step hybrid block method. Three numerical illustrations validate the efficiency of the proposed scheme and show its better performance through very accurate results. Stability and convergence analysis are also performed.
引用
收藏
页码：761 / 776
页数：15
相关论文
共 53 条
[1]  
Saka B(2011)undefined Numer. Methods Partial Differ. Equ. 27 581-19
[2]  
Şahin A(2022)undefined Int. J. Appl. Comput. Math. 8 1-28
[3]  
Kaur A(2022)undefined Comput. Appl. Math. 41 1-52
[4]  
Kanwar V(2016)undefined Optik (Stuttg) 127 5255-79
[5]  
Ramos H(1991)undefined SIAM J. Appl. Math. 51 1498-53
[6]  
Kaur A(2011)undefined J. Inform. Math. Sci. 3 127-1644
[7]  
Kanwar V(1972)undefined J. Comput. Phys. 10 40-114
[8]  
Arbabi S(1997)undefined Comput. Math. Appl. 34 71-724
[9]  
Nazari A(1956)undefined Math. Scand. 4 33-798
[10]  
Darvishi MT(1998)undefined J. Phys. Soc. Japan 67 3655-14
123456