We consider the problem of determination to ill-conditioned heat sources in unsteady 2-D
heat conduction problems. The method we consider is truly mesh-free and is particularly …

In this study, a novel meshless collocation method based on the Gaussian–cubic hybrid
kernel function in conjunction with the ghost-points method and the general Newton …

The parabolic systems for migration of groundwater contaminants are studied through the
semi-analytic method (SAM). For systems, a modification of the classic trigonometric basis …

We study the implementation of a numerical method to solve the time fractional (2+ 1)-
dimensional Wu–Zhang system focusing on properties of trigonometric basis functions …

In the current study, a novel multi-term mixed sub-diffusion and wave-diffusion model was
considered. The new model has a unique time-space coupled derivative in addition to …

In this study, a novel upwind local backward substitution method (upwind-BSM) is
developed for the simulation of two-dimensional convection-dominated diffusion problems …

For solving the continuous Sylvester equation, a class of Hermitian and skew-Hermitian
based multiplicative splitting iteration methods is presented. We consider two symmetric …

This paper aims to present a robust computational technique utilizing finite difference
schemes for accurately solving time fractional reaction–diffusion models, which are …

In our paper, we are used here two methods to solve non-linear differential equations from a
higher order: the first-one is domain decomposition method is used to estimate the Maxi …

В дисертаційній роботі розглядаються питання дослідження інтенсивності та динаміки
процесів поширення теплового поля, вивчення еволюції та кінетики напружено …