Numerical solutions of the EW and MEW equations using a fourth-order improvised B-spline collocation method

A fourth-order improvised cubic B-spline collocation method (ICSCM) is proposed to numerically solve the equal width (EW) equation and the modified equal width (MEW) equation. The discretization of the spatial domain is done using the ICSCM and the Crank-Nicolson scheme is used for the discretizatio...

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Bibliographic Details
Published in:	Numerical algorithms Vol. 98; no. 4; pp. 1799 - 1825
Main Authors:	Fan, Guangyu, Wu, Beibei
Format:	Journal Article
Language:	English
Published:	New York Springer US 01.04.2025 Springer Nature B.V
Subjects:	Algebra Algorithms Approximation B spline functions Boundary conditions Collocation methods Computer Science Crank-Nicholson method Discretization Exact solutions Fourier series Mathematical analysis Methods Norms Numeric Computing Numerical Analysis Original Paper Partial differential equations Solitary waves Stability analysis Theory of Computation Wave propagation Stability EW and MEW equations Gauss elimination method Cubic B-spline method Crank-Nicolson scheme
ISSN:	1017-1398, 1572-9265
Online Access:	Get full text
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