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.
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页码：761 / 776
页数：15
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