The nonlinear Klein–Gordon equation is used to model many nonlinear phenomena. In this
paper, we propose a numerical scheme to solve the one-dimensional nonlinear Klein …

Two numerical techniques based on the finite difference and collocation methods are
presented for the solution of nonlinear Klein–Gordon equation. The operational matrix of …

This paper aims to obtain approximate solutions of the Nonlinear Klein–Gordon (NLKG)
equation by employing the Boundary Integral Equation (BIE) method and the Dual …

A numerical method is developed to solve the nonlinear one-dimensional Klein–Gordon
equation by using the cubic B-spline collocation method on the uniform mesh points. We …

In this paper, a numerical scheme based on the element-free Galerkin (EFG) method is
proposed to find the numerical solutions of nonlinear sine-Gordon equation with Neumann …

In this work, we present a spectral method for recovering an unknown time‐dependent lower‐
order coefficient and unknown wave displacement in a nonlinear Klein–Gordon equation …

This study investigates the nonlinear Klein–Gordon equation (KGE). We successfully
construct some new topological kink-type, non-topological, singular solitons, periodic waves …

This paper aims to design local absorbing boundary conditions (LABCs) for the two-
dimensional nonlinear Schrödinger equations on a rectangle by extending the unified …

The numerical simulation of coupled nonlinear Schrödinger equations on unbounded
domains is considered in this paper. By using the operator splitting technique, the original …

Numerical method based on the Crank–Nicolson scheme and the Tau method is proposed
for solving nonlinear Klein–Gordon equation. Nonlinear Klein–Gordon equation is reduced …