Objectives: We propose a parallel hybrid particle swarm optimization (PHPSO) algorithm to
reduce the computation cost because solving the one-dimensional (1D) heat conduction …

In-depth thermal responses and surface recession of charring materials are two main
performances of the thermal protection system in reentry vehicles subjected to aerodynamic …

In this paper, we consider the numerical solution of the nonlinear one-and two-dimensional
heat transfer problems subject to the given initial conditions and linear Robin boundary …

This article explores a phase change problem in a one-dimensional infinite domain x≥ 0
including the time-dependent speed of a phase change material. In this problem, the …

A new operational matrix based approach is studied for numerical solution of 2D-integro-
differential equations with non-local (integral) boundary conditions whose arise in some …

The present research is contemplated proposing a numerical solution of multi-dimensional
hyperbolic telegraph equations with appropriate initial time and boundary space conditions …

We use a matrix formulated algorithm to approximate solutions of a class of nonlinear
reaction-diffusion equations with nonlocal boundary conditions. Some theoretical results are …

A numerical approach is proposed for solving multidimensional parabolic diffusion and
hyperbolic wave equations subject to the appropriate initial and boundary conditions. The …

Thermal ablation plays an important role in the aerospace field. In this paper, to study the
chemical kinetics effects on heat transfer and surface ablation of the charring ablative …

To improve the performance of charring materials as the thermal protection system in
supersonic vehicles subjected to aerodynamic heating, we develop a nonlinear pyrolysis …