Título
An efficient algorithm combining an optimized hybrid block method and the differential quadrature method for solving Hunter–Saxton equation.
Autor(es)
Palabras clave
Hunter–Saxton equation
Cubic trigonometric B-splines
Hybrid block method
Differential quadrature
Clasificación UNESCO
Fecha de publicación
2022
Editor
Springer
Citación
Kaur, A., Kanwar, V. & Ramos, H. An efficient algorithm combining an optimized hybrid block method and the differential quadrature method for solving Hunter–Saxton equation. J Math Chem 61, 761–776 (2023). https://doi.org/10.1007/s10910-022-01437-5
Resumen
[EN]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.
URI
ISSN
0259-9791
DOI
10.1007/s10910-022-01437-5
Versión del editor
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