Distributed-order fractional calculus (DOFC) is a rapidly emerging branch of the broader
area of fractional calculus that has important and far-reaching applications for the modeling …

In this article, we present an efficient numerical algorithm, which combines the fourth-order
compact difference scheme (CDS) in space with the fast time two-mesh (TT-M) FBN-θ …

In this paper, a spatial sixth-order numerical scheme for solving the time-fractional diffusion
equation (TFDE) is proposed. The convergence order of the constructed numerical scheme …

In this paper, we study the orthogonal Gauss collocation method (OGCM) with an arbitrary
polynomial degree for the numerical solution of a two-dimensional (2D) fourth-order …

We establish a unified framework to study the conforming and nonconforming virtual
element methods (VEMs) for a class of time dependent fourth-order reaction–subdiffusion …

In this paper, a compact finite difference scheme is constructed and investigated for the
fourth‐order time‐fractional integro‐differential equation with a weakly singular kernel. In the …

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< …

The time distributed-order diffusion-wave equation describes radial groundwater flow to or
from a well. In the paper, an alternating direction implicit (ADI) Legendre–Laguerre spectral …

In this manuscript, we develop and analyze two high‐order schemes, CFD g− σ _ g-σ and
PQS g− σ _ g-σ, for generalized variable coefficients fractional reaction–diffusion equations …

A high resolution wavelet collocation method based on Gegenbauer polynomials is
proposed for the solution of fourth-order time-fractional integro-differential equations …