In the present article, we focus on the numerical approximation of stochastic partial differential equations of ItË†o type with space-time white noise process, in particular, parabolic equations. Forâ€¦ (More)

We propose a moving mesh adaptive approach for solving time-dependent partial differential equations. The motion of spatial grid points is governed by a moving mesh PDE (MMPDE) in which ameshâ€¦ (More)

Corrected fundamental solution (CFS) is a meshless method for homogeneous elliptic problems that corrects the density function in a simple layer potential integral. In the CFS method, we apply a newâ€¦ (More)

This paper introduces a mesh generating algorithm for solving the traffic flow equation as a conservation law equation. The idea behind the new method is to use the characteristic curves and movingâ€¦ (More)

The process of collision between particles is a subject of interest in many fields of physics, astronomy, polymer physics, atmospheric physics, and colloid chemistry. If two types of particles areâ€¦ (More)