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- Title
An efficient algorithm combining an optimized hybrid block method and the differential quadrature method for solving Hunter–Saxton equation.
- Authors
Kaur, Anurag; Kanwar, V.; Ramos, Higinio
- Abstract
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.
- Subjects
DIFFERENTIAL quadrature method; GAUSSIAN quadrature formulas; EQUATIONS; HYBRID systems; QUADRATIC differentials
- Publication
Journal of Mathematical Chemistry, 2023, Vol 61, Issue 4, p761
- ISSN
0259-9791
- Publication type
Article
- DOI
10.1007/s10910-022-01437-5