The numerical solutions for nonlinear fractional Gardner and Cahn‐Hilliard equations
arising in fluids flow are obtained with the aid of two novel techniques, namely, fractional …

In this paper, we study and present a spectral numerical technique for solving a general
class of multi-order fractional pantograph equations with varying coefficients and systems of …

In this work, the distributed-order time fractional Klein–Gordon–Zakharov system is
introduced by substituting the second-order temporal derivative with a distributed-order …

In this paper, we numerically investigate the space fractional nonlinear damped wave
equation. We construct a novel high-accuracy dissipation-preserving finite difference …

This study presents an energy preserving partially implicit scheme for the simulation of wave
propagation in homogeneous and heterogeneous mediums. Despite its implicit nature, the …

In this paper, a novel optimal fourth-order fractional-compact-type numerical differential
formula for the Riesz derivatives is derived by constructing the appropriate generating …

In this paper, we propose an efficient numerical scheme for the space-fractional Klein–
Gordon–Schrödinger (SFKGS) equations. Motivated by the “Invariant Energy …

In this paper, we consider an important kind of fractional partial differential equations,
namely multi-term time-fractional mixed sub-diffusion and diffusion-wave equation. The …

In this manuscript, we consider an efficient dissipation-preserving finite element method for a
class of two-dimensional nonlinear fractional wave equations on irregular convex domains …

In this paper, an efficient numerical scheme is presented for solving the space fractional
nonlinear damped sine–Gordon equation with periodic boundary condition. To obtain the …