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 paper, we proposed a new numerical scheme to solve the time fractional nonlinear
Klein–Gordon equation. The fractional derivative is described in the Caputo sense. The …

In this paper, we introduce a numerical method for solving time-fractional order telegraph
equation. The method depends basically on an expansion of approximated solution in a …

In this paper, an efficient numerical method is considered for solving space-time fractional
wave equation. The fractional derivatives are described in the conformable sense. The …

In this paper, new solutions to nonlinear pseudo-hyperbolic equations with non-local
conditions by residual power series (RPS) method is given. This method is based on the …

Many applications of various self‐adjoint differential equations, whose solutions are
complex, are produced (Arfken, 1985; Gandarias, 2011; and Delkhosh, 2011). In this work …

In this paper, a new approach for solving space fractional order diffusion equations is
proposed. The fractional derivative in this problem is in the Caputo sense. This approach is …

Having information about the impact of some parameters on the microstructure of parts
manufactured by the laser powder bed fusion process is considered among the serious …

In this paper, a non-standard Crank-Nicholson finite difference method (NSCN) is presented.
NSCN is used to study numerically the variable-order fractional Cable equation, where the …

This work presents a numerical approach for solving the time–space fractional‐order wave
equation. The time‐fractional derivative is described in the conformal sense, whereas the …