We propose and analyze a time-stepping discontinuous Petrov--Galerkin method combined
with the continuous conforming finite element method in space for the numerical solution of …

We present an hp version of the continuous Petrov--Galerkin (CPG) finite element method
for linear Volterra integro-differential equations with smooth and nonsmooth kernels. We …

In this paper, we consider the time-dependent Maxwell's equations when Cole–Cole
dispersive medium is involved. The Cole–Cole model contains a fractional time derivative …

In this paper, we present an $ hp $-version Legendre-Jacobi spectral collocation method for
Volterra integro-differential equations with smooth and weakly singular kernels. We …

A novel approach, the differential Barrett–Joyner–Halenda model (D-BJH), is proposed to
address the limitations of the traditional BJH model in determining the pore size distribution …

In this paper, we develop a fractional order spectral collocation method for solving second
kind Volterra integral equations with weakly singular kernels. It is well known that the …

Multistep collocation methods for Volterra integro-differential equations are derived and
analyzed. They increase the order of convergence of classical one-step collocation …

We study the numerical solution of an initial-boundary value problem for parabolic integro-
differential equation with a weakly singular kernel. The main purpose of this paper is to …

In this paper, we present an hp-version Legendre–Jacobi spectral collocation method for the
nonlinear Volterra integro-differential equations with weakly singular kernels. We derive hp …

In this paper, we study the numerical solution of initial boundary-value problem for the fourth-
order partial integro-differential equations with a weakly singular kernel. We use the forward …