This paper presents an arbitrary order numerical approach for achieving highly accurate
solutions in transient heat conduction problems. In this framework, the arbitrary order Krylov …

In this paper, a generalized finite difference method (GFDM) based on the Peridynamic
differential operator (PDDO) is investigated. The weighted moving least square (MLS) …

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 …

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 …

This paper proposes a semi‐analytical and local meshless collocation method, the localized
method of fundamental solutions (LMFS), to address three‐dimensional (3D) acoustic …

This paper presents a numerical framework for the highly accurate solutions of transient heat
conduction problems. The numerical framework discretizes the temporal direction of the …

This paper documents the first attempt to apply the generalized finite difference method
(GFDM), a recently-developed meshless method, for the numerical solution of problems with …

Data completion known as Cauchy problem is one most investigated inverse problems. In
this work we consider a Cauchy problem associated with Helmholtz equation. Our …

This paper presents a meshless numerical scheme for recovering the time-dependent heat
source in general three-dimensional (3D) heat conduction problems. The problem …

In this paper, the generalized finite difference method (GFDM) combined with the Newton–
Raphson method is proposed to accurately and efficiently simulate the steady-state double …