With the rapid development of computer technology, numerical simulation has become the
third scientific research tool besides theoretical analysis and experimental research. As the …

In this study a new framework for solving three-dimensional (3D) time fractional diffusion
equation with variable-order derivatives is presented. Firstly, a θ-weighted finite difference …

In this paper, a high-accuracy numerical scheme is developed for long-time dynamic
simulations of 2D and 3D wave propagation phenomena. In the derivation of the present …

In this study, a new framework for the efficient and accurate solutions of three-dimensional
(3D) dynamic coupled thermoelasticity problems is presented. In our computations, the …

In this paper we investigate the application of the generalized finite difference method
(GFDM) to three-dimensional (3D) transient heat conduction in anisotropic composite …

The localized method of fundamental solutions (LMFS) is an efficient meshless collocation
method that combines the concept of localization and the method of fundamental solutions …

This paper makes a first attempt to investigate the long-time behaviour of solutions of 2D
acoustic wave equation by integrating strengths of the Krylov deferred correction (KDC) …

The main purpose of this article is to propose a modified singular boundary method using
the modified fundamental solution of Helmholtz equation for simulation of three-dimensional …

This short communication presents the Singular Boundary Method (SBM) to solve the
obliquely incident water wave passing through the submerged breakwater. The SBM is a …

A hybrid numerical method is developed for three-dimensional (3D) heat conduction in
functionally graded materials (FGMs) by integrating the advantages of the generalized finite …