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 …

Numerous studies have demonstrated the important role of noise in the dynamical
behaviour of a complex system. The most probable trajectories of nonlinear systems under …

Abstract Delay Sobolev equations (DSEs) are a class of important models in fluid
mechanics, thermodynamics and the other related fields. For solving this class of equations …

This paper deals with the numerical computation and analysis for nonlinear Sobolev
equations with distributed delay. We present linearized compact difference methods for …

This paper deals with the numerical solutions of initial–boundary value problems (IBVPs) of
nonlinear two-dimensional Sobolev equations with time-variable delay. For solving this type …

In this paper, we propose a fully implicit nonconforming virtual element method for solving
the Sobolev equations with Burger's type nonlinearity by utilizing the backward Euler …

In this paper, a two-dimensional variable-coefficients semilinear Sobolev equation under
Neumann boundary condition is considered, and a novel Crank–Nicolson type linearized …

In this paper, two classes of high-order numerical schemes on the time discretization for the
solutions of two-dimensional nonlinear Sobolev equations are analyzed. The two-level …

In this paper, two efficient, linearized (or semi-implicit) Crank-Nicolson block-centered finite
difference algorithms for the strongly nonlinear Sobolev equations are investigated and …

In this paper, one class of finite difference scheme is proposed to solve nonlinear space
fractional Sobolev equation based on the Crank‐Nicolson (CN) method. Firstly, a fractional …