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 …

In this article, a fully discrete local discontinuous Galerkin (LDG) method with high-order
temporal convergence rate is presented and developed to look for the numerical solution of …

In this article, we study and analyze a Galerkin mixed finite element (MFE) method combined
with time second-order discrete scheme for solving nonlinear time fractional diffusion …

In the present work, a compact difference scheme with convergence order O (τ 2+ h 4) is
proposed for the fourth-order fractional sub-diffusion equation, where h and τ are space and …

Higher order non‐Fickian diffusion theories involve fourth‐order linear partial differential
equations and their solutions. A quintic polynomial spline technique is used for the …

The nonlinear fourth-order reaction–subdiffusion equation whose solutions display a typical
initial weak singularity is considered. A new analytical technique is introduced to analyze …

In this work, a finite difference method of tunable accuracy for fractional differential equations
(FDEs) with end-point singularities is developed. Modified weighted shifted Grünwald …

In the present work, orthogonal spline collocation (OSC) method with convergence order O
(τ 3− α+ hr+ 1) is proposed for the two-dimensional (2D) fourth-order fractional reaction …