In this work, we apply an efficient analytical algorithm namely homotopy perturbation
Sumudu transform method (HPSTM) to find the exact and approximate solutions of linear …

In this paper, the numerical solution of the modified regularized long wave equation is
obtained using a quartic B-spline approach with the help of Butcher's fifth-order Runge …

In this study, with the aid of the Wolfram Mathematica software, the powerful sine-Gordon
expansion method is utilized to search for the solutions to some important nonlinear …

In this paper, septic B-spline approach with linearization and without linearization technique
with the help of Butcher's fifth-order Runge–Kutta scheme is implemented to obtain solitary …

In this paper, a comparative study of natural transform decomposition method and new
iterative method is presented. The proposed methods are tested upon nonlinear fractional …

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

In this paper, a homotopy analysis method employed to obtain approximate numerical
solution of the modified regularized long wave (MRLW) equation with some specified initial …

Numerical scheme based on quartic B-spline collocation method is designed for the
numerical solution of modified regularized long wave (MRLW) equation. Unconditional …

The aim of the present paper is to present a numerical algorithm for the time-dependent
generalized regularized long wave equation with boundary conditions. We semi-discretize …

In this paper, an exact method named Riccati–Bernoulli sub-ODE method and a numerical
method named Subdomain finite element method are proposed for solving the nonlinear …