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- Title
Numerical Solution of Third-Order Rosenau–Hyman and Fornberg–Whitham Equations via B-Spline Interpolation Approach.
- Authors
Akbar, Tanveer; Haq, Sirajul; Arifeen, Shams Ul; Iqbal, Azhar
- Abstract
This study aims to find the numerical solution of the Rosenau–Hyman and Fornberg–Whitham equations via the quintic B-spline collocation method. Quintic B-spline, along with finite difference and theta-weighted schemes, is used for the discretization and approximation purposes. The effectiveness and robustness of the procedure is assessed by comparing the computed results with the exact and available results in the literature using absolute and relative error norms. The stability of the proposed scheme is studied using von Neumann stability analysis. Graphical representations are drawn to analyze the behavior of the solution.
- Subjects
COLLOCATION methods; FINITE differences; INTERPOLATION; EQUATIONS; QUINTIC equations
- Publication
Axioms (2075-1680), 2024, Vol 13, Issue 8, p501
- ISSN
2075-1680
- Publication type
Article
- DOI
10.3390/axioms13080501