Numerical Solution of the Gardner Equation

Tiong, W.K. and Tay, K.G. and Ong, C.T. and Sze, S.N. (2016) Numerical Solution of the Gardner Equation. In: Proceedings of the International Conference on Computing, Mathematics and Statistics (iCMS 2015), Springer, Singapore.

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Official URL: DOI: 10.1007/978-981-10-2772-7_25

Abstract

The Gardner equation is commonly used to describe wave propagation in weakly nonlinear dispersive medium. The Gardner equation has a higher order nonlinear term, which could make the numerical calculation inaccurate. In this paper, the Gardner equation is solved using two numerical methods, i.e., the method of lines and pseudospectral method. The efficiency and accuracy of both methods were studied. Our results show that both methods are accurate and efficient methods to solve the Gardner equation. By comparing the accuracy of both the methods, the method of lines performs better than pseudospectral method most of the time.

Item Type: Proceeding (Paper)
Uncontrolled Keywords: Gardner equation The method of lines Pseudospectral method, unimas, university, universiti, Borneo, Malaysia, Sarawak, Kuching, Samarahan, ipta, education, research, Universiti Malaysia Sarawak
Subjects: T Technology > T Technology (General)
Divisions: Academic Faculties, Institutes and Centres > Faculty of Computer Science and Information Technology
Depositing User: Karen Kornalius
Date Deposited: 29 Mar 2017 00:41
Last Modified: 29 Mar 2017 00:42
URI: http://ir.unimas.my/id/eprint/15679

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