INTEGRATION OF TRIGONOMETRIC QUARTIC B-SPLINE COLLOCATION APPROACH AND ADAMS-MOULTON SCHEME TO SOLVE THE EQUAL WIDTH EQUATION

Year 2025, Volume: 26 Issue: 2 , 150 - 160 , 25.06.2025

Emre Kırlı , Mehmet Ali Mersin

https://doi.org/10.18038/estubtda.1635458

https://izlik.org/JA65HL28AU

Abstract

This study focuses on the development of a novel numerical technique used to solve Equal Width (EW) equation. The spatial discretization of the EW equation is accomplished using a trigonometric quartic B-spline collocation technique. To achieve a fully discretized formulation of the EW equation, the third-order implicit Adams-Moulton method is employed. The efficiency and applicability of the recommended computational scheme are validated through numerical experiments, which include the analysis of single solitary wave propagation and the interaction of two solitary waves. The results obtained are compared with those from existing methods documented in the literature. These comparisons demonstrate that the proposed numerical scheme outperforms other methods in terms of accuracy.

Keywords

Quartic trigonometric B-spline , Solitary wave , Collocation method , Adams-Moulton method

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