In this article, a novel and efficient collocation method based on Fibonacci wavelets is
proposed for the numerical solution of the non-linear Hunter–Saxton equation. Firstly, the …

In this paper, we present an approximate solution for solving the nonlinear Rosenau–Hyman
equation. The method is based on adapting the wavelet technique accompanied with the …

In this study, we generated a novel functional matrix using Bernoulli wavelets. Also, we
developed a novel technique called the Bernoulli wavelets collocation method to obtain …

In this study, numerical treatment of liquid crystal model described through Hunter-Saxton
equation (HSE) has been presented by sinc collocation technique through theta weighted …

This study introduced a generalized operational matrix using Clique polynomials of a
complete graph and proposed the latest approach to solve the non-linear Klein–Gordon …

In this study, two numerical methods [(a) artificial neural network method with three layers
(input layer, hidden layer, output layer) and (b) least squares support vector regression (LS …

This manuscript deals with a novel hybrid spectral collocation approach to find the
approximate solutions of a class of nonlinear partial differential equations of parabolic type …

The paper is concerned with different classes of partial differential equations (PDEs), such
as nonlinear Benjamin–Bona–Mahony and Klein–Gordon equations with variable …

The steady-state ship rolling motion in random beam seas with nonlinear damping and
restoring moments are explored mathematically in this work. The Hermite Wavelet Method …

This paper generates a novel approach called the clique polynomial method (CPM) using
the clique polynomials raised in graph theory and used for solving the fractional order PDE …