We present a truly meshless method based on the thin plate splines for the numerical
solution of the two dimensional forward-backward heat equation and give a robust …

In this paper, a truly meshless method based on the partition of unity method (PUM) is
developed for the numerical solution of the two-dimensional forward–backward heat …

‎‎‎‎‎ In this paper, we present a numerical technique to deal with the one-dimensional forward-
backward heat equations. First, the physical domain is divided into two non-overlapping …

The ill-posedness of the forward-backward heat problem arises in boundary layer problems,
fluid dynamics, plasma physics, astrophysics and the study of propagation of an electron …

This paper presents a novel space–time meshless method for solving the backward heat
conduction problem (BHCP). A numerical approximation is obtained using the Trefftz basis …

In this article, a meshless method using the spacetime collocation for solving the two-
dimensional backward heat conduction problem (BHCP) is proposed. The spacetime …

Based on the idea of radial basis functions approximation and the method of particular
solutions, we develop in this paper a new meshless computational method to solve …

A new space–time meshless method is proposed for solving the nonhomogeneous
convection–diffusion equations with variable coefficients. From the perspective of the space …

In the current work, meshless methods are proposed to solve two-dimensional interface heat
equation having closed interface boundary, in regular and irregular geometry as well as in …

This article presents the idea for calculating 2-D steady-state heat conduction problems with
multidomain combination by employing the virtual boundary meshless least-square method …