<abstract xmlns="http://www.w3.org/1999/xhtml">
This article applies the sextic B-spline collocation scheme to obtain the approximate solution of the generalized equal width (GEW) wave equation. The accuracy of the proposed technique is discussed over three test applications including the single soliton wave, interaction of soliton waves and Maxwellian initial problem while we are getting the three invariant <italic>A</italic>1, <italic>A</italic>2, <italic>A</italic>3 and two error norms referred as to <italic>L</italic>2 and <italic>L</italic><italic>∞</italic>. Applying the Von Neumann algorithm, the linearized technique is unconditionally stable. Our computational data show the superiority of results over those existing results in the literature review.
</abstract>

This article applies the sextic B-spline collocation scheme to obtain the approximate solution of the generalized equal width (GEW) wave equation. The accuracy of the proposed technique is discussed over three test applications including the single soliton wave, interaction of soliton waves and Maxwellian initial problem while we are getting the three invariant A1, A2, A3 and two error norms referred as to L2 and L∞. Applying the Von Neumann algorithm, the linearized technique is unconditionally stable. Our computational data show the superiority of results over those existing results in the literature review.

Solving the generalized equal width wave equation via sextic <italic>B</italic>-spline collocation technique

National University of Science and Technology

International Journal of Mathematics and Computer in Engineering

This work is licensed under the Creative Commons Attribution 4.0 International License.

Solving the generalized equal width wave equation via sextic -spline collocation technique

This article applies the sextic B-spline collocation scheme to obtain the approximate solution of the generalized equal width (GEW) wave equation. The accuracy...

Solving the generalized equal width wave equation via sextic B-spline collocation technique

Published Online: Sep 13, 2023

Page range: 229 - 242

Received: Jul 09, 2023

Accepted: Sep 04, 2023

DOI: https://doi.org/10.2478/ijmce-2023-0019

Keywords
GEW equation, sextic B-spline function, solitary waves, stability

© 2023 Muhammad Nasir et al., published by Sciendo

This work is licensed under the Creative Commons Attribution 4.0 International License.

Solving the generalized equal width wave equation via sextic B-spline collocation technique

Published Online: Sep 13, 2023

Page range: 229 - 242

Received: Jul 09, 2023

Accepted: Sep 04, 2023

DOI: https://doi.org/10.2478/ijmce-2023-0019

KeywordsGEW equation, sextic B-spline function, solitary waves, stability

© 2023 Muhammad Nasir et al., published by Sciendo

This work is licensed under the Creative Commons Attribution 4.0 International License.

Keywords
GEW equation, sextic B-spline function, solitary waves, stability