It is well-known that the inverse heat problems (IHP) are ill-posed such that we encounter to
some difficulties in the numerical techniques. In the current article, a numerical technique …

The problem of determining a space-dependent source term in a time fractional diffusion
equation is considered from the measured data at the final time. To find an approximation of …

In this paper, we develop a new meshless numerical procedure for simulating the
combustion model. To that end, we employ a local meshless collocation method according …

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 …

A nonoverlapping domain decomposition technique applied to a finite difference method is
presented for the numerical solution of the forward backward heat equation in the case of …

In this work, a forward-backward time fractional heat equation is introduced for the first time.
A non-overlapping domain decomposition procedure with a finite difference scheme is used …

This paper develops a new numerical method of fundamental solutions for the non-
homogeneeous convection-diffusion equations with time-dependent heat sources. A …

This study is specially designed to solve the forward-backward heat equation in two
dimension to make use of thin plate splines and finite difference method. It should be noted …