NUMERICAL INVESTIGATION OF CAMASSA-HOLM EQUATION VIA SPLINE COLLOCATION TECHNIQUE
DOI:
https://doi.org/10.71146/kjmr849Keywords:
Quartic B-spline, Camassa-Holm equation, ConvergenceAbstract
In this paper a collocation finite difference scheme using Quartic B-spline function is used. A finite difference scheme and Quartic B-spline function are used to discretize the time and spatial derivatives, respectively. The numerical results obtained are compared to the exact analytical solutions and a few of the ways present in literature. The numbers obtained as solutions of non-linear equations are obtained without any linearization method. The convergence of the method is proved of order 2. The effectiveness of the suggested scheme is provided with illustrative examples. The given scheme turns out to be a highly trustworthy alternative approach to certain existing schemes on such physical problems.
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Copyright (c) 2026 Muhammad Usama, Muhammad Amin, Roohi Aaysha, Iqra Safdar (Author)
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