For the implementation in MATLAB, see this repository. This section assumes Ubuntu 18.04 (also tested on Ubuntu 22.04), but the procedure is similar for other Linux distributions.

Abstract: A broad range of scientific simulations involve solving large-scale computationally expensive linear systems of equations. Iterative solvers are typically preferred over direct methods when ...

Here, we look at the Sasa-Satsuma equation with M-truncated derivative (SSE-MTD). The analytical solutions in the form of trigonometric, hyperbolic, elliptic, and rational functions are constructed ...

MATLAB programs for solving the power-flow equations using either of methods: Gauss-Seidel (G-S), Newton-Raphson (N-R) & Fast Decoupled Load Flow (FDLF). Numerical solution to the incompressible ...

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 ...

I am an applied mathematician. My research area is computational fluid dynamics, which involves developing, analyzing, and implementing algorithms (numerical methods) that allow us to model situations ...

More recently, lower limb exoskeletons (LLE) have gained considerable interests in strength augmentation, rehabilitation, and walking assistance scenarios. For walking assistance, the LLE is expected ...

Many fields of science and engineering require finding eigenvalues and eigenvectors of large matrices. The solutions can represent oscillatory modes of a bridge, a violin, the disposition of electrons ...