This work adopts to the time-fractional Klein–Gordon equation (FKGE) in the Caputo sense.
We present a new technique using the clique polynomial as basis function for the …

The epidemiological aspects of the viral dynamic of the SARS-CoV-2 have become
increasingly crucial due to major questions and uncertainties around the unaddressed …

Numerical methods play an important role in modern mathematical research, especially
studying the symmetry analysis and obtaining the numerical solutions of fractional …

This paper mainly presents numerical solutions to an initial-boundary value problem of the
time-fractional Klein-Gordon equations. We developed a numerical scheme with the help of …

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 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 …

In this work, we solve a new kind of the fractional Klein–Gordon problem numerically. In fact,
we study the mentioned problem under fractal–fractional operator with the Riemann …

The fundamental purpose of this paper is to study the numerical solution of multi-term time
fractional nonlinear Klein–Gordon equation, using regularized beta functions and fractional …

We present new solutions of fractional-order Korteweg-de Vries (KdV) equation by
employing a method that utilizes advantages of both techniques of fictititous time integration …

We present a radial basis function-based local collocation method for solving time fractional
nonlinear diffusion wave equation. The main beauty of the local collocation method is that …