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 study, the space–time (ST) generalized finite difference method (GFDM) was
combined with Newton's method to stably and accurately solve two-dimensional unsteady …

For time-dependent problems, a novel space-time backward substitution method is
proposed in this paper. By employing the space-time radial basis function and the space …

Abstract A novel Overset Improved Element-Free Galerkin-Finite Element Method (Ov-IEFG-
FEM) for solving transient heat conduction problems with concentrated moving heat sources …

A novel overlap** nodes scheme developed in the framework of an improved element-
free Galerkin (IEFG) formulation is introduced in order to solve the transient heat conduction …

In this paper, the space-time generalized finite difference scheme is proposed to effectively
solve the unsteady double-diffusive natural convection problem in the fluid-saturated porous …

In the present work, a polygonal boundary element method (PBEM) for solving transient
inhomogeneous heat conduction problems with spatially-varying heat generation is …

In this paper, the space-time generalized finite difference scheme is applied to solve the
nonlinear high-order Korteweg-de Vries equations in multiple dimensions. The proposed …

In this paper, a novel spatial-temporal radial Trefftz collocation method (STRTCM) is
proposed to solve 2D and 3D backward heat conduction equations with time-dependent …

In this paper we propose two new quasi-boundary value methods for regularizing the ill-
posed backward heat conduction problems. With a standard finite difference discretization in …