In this article we develop a numerical algorithm based on redefined extended cubic B-spline
functions to explore the approximate solution of the time-fractional Klein–Gordon equation …

A B-spline function is a series of flexible elements that are managed by a set of control
points to produce smooth curves. By using a variety of points, these functions make it …

Klein–Gordon equation models many phenomena in both physics and applied mathematics.
In this paper, a coupled method of Laplace transform and Legendre wavelets, named …

At the present work, we propose a new numerical scheme for the solution of two and three
dimensional time fractional nonlinear damped Klein–Gordon equation (DKGE). To this end …

We consider difference schemes for nonlinear time fractional Klein-Gordon type equations in
this paper. A linearized scheme is proposed to solve the problem. As a result, iterative …

In this paper, an efficient numerical procedure for the generalized nonlinear time‐fractional
Klein–Gordon equation is presented. We make use of the typical finite difference schemes to …

In the present paper, we couple double Laplace transform with Iterative method to solve
nonlinear Klein-Gordon equation subject to initial and boundary conditions. By this method …

A numerical method for nonlinear time fractional Klein-Gordon equations is studied.
Discretising spatial and temporal variables by a combined compact difference and a …

This paper discusses an Interval Quadratic Programming (IQP) problem, where the
constraints coefficients and the right-hand sides are represented by interval data. First, the …

This study considered the spectral collocation method for solving the fractional Klein-Gordon
Equation (FKGE)(Caputo-sense) with the aid of Mamadu-Njoseh polynomials. The main …