Work

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

Year: 2022

Type: article

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.

Source: Journal of Mathematical Chemistry

DOI: 10.1007/s10910-022-01437-5

Authors: Anurag Kaur, V. Kanwar, Higinio Ramos

Institutions: Panjab University, Universidad de Salamanca

Language: English

Topic: Numerical methods for differential equations

Subfield: Numerical Analysis

Field: Mathematics

Domain: Physical Sciences

Open Access status: hybrid

Estimated APC paid: $3,390

Funders: University Grants Commission, Universidad de Salamanca