This book discusses classical results, as well as recent developments, related to the Cahn–
Hilliard equation. It is based on the lectures that I gave at the CBMS-NSF Conference on the …

The nonlinear sine-Gordon equation (NSGE) represents the classical solitary wave model
having a nonlinear sine source term in the theory of crystal dislocations. This paper focusses …

This paper proposes an efficient localized meshless technique for approximating the
viscoelastic wave model. This model is a significant methodology to explain wave …

This paper presents a method for the approximate solution of the time-fractional nonlinear
sine-Gordon and the Klein-Gordon models described in Caputo sense and with the order 1< …

In this paper, the interpolating element-free Galerkin (IEFG) method for solving the three-
dimensional (3D) elastoplasticity problems is presented. By using the improved interpolating …

A new numerical scheme has been developed based on the fast and efficient meshless
local weak form ie direct meshless local Petrov–Galerkin (DMLPG) method for solving the …

In this paper, the Gilson–Pickering (GP) equation with applications for wave propagation in
plasma physics and crystal lattice theory is studied. The model with wave propagation in …

This paper presents a meshless finite point method (FPM) for the numerical analysis of the
fractional cable equation. A second-order time discrete scheme is proposed to approximate …

We present an explicit conservative Saul'yev finite difference scheme for the Cahn–Hilliard
(CH) equation, which models a phase separation phenomenon in binary alloys. The CH …

In this paper, we consider the numerical solution of damped Boussinesq equation using
Ciarlet–Raviart mixed finite element method. An implicit finite difference scheme is used for …