Radial basis function method is an effective tool for solving differential equations in
engineering and sciences. Many radial basis functions contain a shape parameter c which is …

Dispersive wave propagations are described by nonlinear models, such as regularized long
waves and modified regularized long waves, where nonlinearity and dispersion are …

The equal width equation is solved by a RBF-PS scheme. This technique is meshless, and
there is no need to linearize the nonlinear terms. The radial kernels are used to transform …

In this paper, we develop a fourth-order accurate compact difference scheme for the
symmetric regularized long wave (SRLW) equation for a single nonlinear velocity form. The …

In the present work, a new implicit fourth-order energy conservative finite difference scheme
is proposed for solving the generalized Rosenau–Kawahara-RLW equation. We first design …

In this study, traveling wave solutions of the modified regularized long wave (MRLW)
equation are simulated by using the meshless method based on collocation with well …

This article developed a significant improvement of a Galerkin‐type approximation to the
regularized long‐wave equation (RLW) solution under homogeneous Dirichlet boundary …

The objective of this work is to propose a collocation technique based on new cubic
trigonometric B-spline (NCTB-spline) functions to approximate the regularized long-wave …

The numerical solution of the modified equal width equation is investigated by using
meshless method based on collocation with the well-known radial basis functions. Single …

In this paper, the radial basis function (RBF) collocation method is applied to solve nonlinear
partial differential equations (PDEs). First, the given equation is reduced to time‐discrete …