1 Department of Mathematics, Umm Al-Qura University, Mecca, Saudi Arabia. 2 Department of Mathematics, University College in Qunfudah, Umm Al-Qura University, Mecca, Saudi Arabia. Allen-Cahn equation ...

practicals: codes and problems presented and discussed in the ATP practical sessions (see practicals/README.md) 1. Advection-diffusion-reaction equation in 1D with the Finite Difference (FD) method ...

In this research, we have improved a relaxation method for triangular meshes intended for finite element fluid simulations which contain discrete element particles. The triangle edges are treated as ...

In sixth century BC, Pythagoras discovered the mathematical foundation of musical consonance and dissonance. When auditory frequencies in small-integer ratios are combined, the result is a harmonious ...

Understanding the effect of stochastic phenomena on the behavior of the nervous system requires stochastic simulation algorithms that effectively and accurately capture the dynamics of the underlying ...