Paper Title:

High Order Collocation Method for the Generalized Kuramoto-Sivashinsky Equation

Author(s):

Zanele Mkhize, Nabendra Parumasur and Pravin Singh

School of Mathematics, Statistics and Computer Sciences,
University of KwaZulu-Natal,
Private Bag X 54001,
Durban 4000.
E-mail: mkhizez2@ukzn.ac.za
parumasurn1@ukzn.ac.za
 singhp@ukzn.ac.za
URL: https://www.ukzn.ac.za

Abstract:

In this paper, we derive the heptic Hermite basis functions and use them as basis functions in the orthogonal collocation on finite elements (OCFE) method. We apply the method to solve the generalized Kuramoto-Sivashinsky equation. Various numerical simulations are presented to justify the computational efficiency of the proposed method.

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