In this article, a novel double reduction order technique and a newly constructed nonlinear
compact difference operator are developed on graded meshes to simulate the nonlocal …

In this study, we propose a new nonlinear compact difference scheme (NCDS) for a fourth-
order nonlinear Burgers type equation (FO-NBTE) with a weakly singular kernel. The Crank …

In this paper, based on the developed nonlinear fourth-order operator and method of order
reduction, a novel fourth-order compact difference scheme is constructed for the mixed-type …

This paper formulates a third-order backward differentiation formula (BDF3) fourth-order
compact difference scheme based on a developed fourth-order operator for computing the …

In this paper, we investigate a time two-grid algorithm to get the numerical solution of
nonlinear generalized viscous Burgers' equation, which is the first time that the two-grid …

In this paper, fourth-order compact difference schemes are derived, analyzed and tested at
length for both one-and two-dimensional Rosenau equations under the spatial periodic …

In this paper, two classes of efficient difference schemes for the simulation of the time-
fractional Korteweg–de Vries equation are carried out. The temporal derivative is …

This work focuses on exploring pointwise error estimate of three-level conservative
difference scheme for supergeneralized viscous Burgers' equation. The cut-off function …

This research focuses on devising a new fast difference scheme to simulate the Caputo
tempered fractional derivative (TFD). We introduce a fast tempered λ F£ 2− 1 σ difference …

In this study, we explore a new robust compact difference method (CDM) on graded meshes
for the time-fractional nonlinear Kuramoto–Sivashinsky (KS) equation. This equation …