Fibonacci Wavelet Method for the Solution of the Non-Linear Hunter–Saxton Equation

In this article, a novel and efficient collocation method based on Fibonacci wavelets is proposed for the numerical solution of non-linear Hunter–Saxton equation. Firstly, operational matrices integration associated with are constructed by following strategy Chen Hsiao. The merged used to convert given problem into system algebraic equations that can be solved any classical method, such as Newton’s method. Moreover, non-linearity arising in equation handled invoking quasi-linearization technique. To show efficiency accuracy Fibonacci-wavelet-based technique, approximate solutions other methods including Haar wavelet, trigonometric B-spline, Laguerre wavelet compared. outcomes demonstrate yields much more stable better approximation than existing ones.