The main aim of the current paper is to propose an efficient numerical procedure based on
the meshless method for solving some models of conservation laws. In the current …

One acceptable technique in meshfree methods is collocation procedure based on the
radial basis functions. But the mentioned technique is poor for solving problems that have …

Excessive synchronizations of neurons in the brain networks can be a reason for some
episodic disorders such as epilepsy. In this paper, we simulate neural dynamic models and …

We present modifications of the second-order Douglas stabilizing corrections method, which
is a splitting method based on the implicit trapezoidal rule. Inclusion of an explicit term in a …

This work considers two boundary correction techniques to mitigate the reduction in the
temporal order of convergence in PDE sense (ie, when both the space and time resolutions …

We analyse temporal approximation schemes based on overlapping domain
decompositions. As such schemes enable computations on parallel and distributed …

Differential equations are an important building block for modeling processes in physics,
biology, and social sciences. Usually, their exact solution is not known explicitly though …

This paper introduces dimensional and numerical investigation of the problem of solute
transport within the two-phase flow in a porous cavity. The model consists of momentum …

In recent years, the gradual saturation of parallelization in space has been a strong
motivation for the design and analysis of new parallel-in-time algorithms. Among these …

In this paper, the problem of nonisothermal two-phase flow in a porous cavity has been
investigated numerically. The conservation laws of energy, momentum, and mass are used …