In this article, a new linearized compact multisplitting scheme is constructed to solve the
nonlinear delay convection–reaction–diffusion equations. Firstly, the equations are …

In this paper, we propose two implicit compact difference schemes for the fractional cable
equation. The first scheme is proved to be stable and convergent in l∞-norm with the …

In this work, we present an implicit compact difference scheme for solving a class of neutral
delay parabolic differential equations (NDPDEs). The unique solvability and unconditional …

This paper is concerned with numerical solutions of one-dimensional (1D) and two-
dimensional (2D) nonlinear coupled Schrödinger-Boussinesq equations (CSBEs) by a type …

In this study, point-wise errors of two conservative difference schemes for solving the Klein–
Gordon–Schrödinger equation are studied. Besides the standard techniques of the energy …

A space-time fully decoupled wavelet integral collocation method (WICM) with high-order
accuracy is proposed for the solution of a class of nonlinear wave equations. With this …

This article proposes a new nanoscale heat transfer model based on the Caputo type
fractional dual-phase-lagging (DPL) heat conduction equation with the temperature-jump …

Abstract In this paper, Modified Crank–Nicolson method is combined with Richardson
extrapolation to solve the 1D heat equation. The method is found to be unconditionally …

First, a nonlinear difference scheme is proposed to solve the three-dimensional (3D)
nonlinear wave equation by combining the correction technique of truncation error …

This article considers the dual‐phase‐lagging (DPL) heat conduction equation in a double‐
layered nanoscale thin film with the temperature‐jump boundary condition (ie, Robin's …