Simulation software based on a symbolic ... Several pages of derivations are required just to translate a free-body diagram to a differential equation. Imagine using this method to model an ...

The finite-difference method is the most direct approach to discretizing partial differential equations ... with water flowing in the inner tubes. Simulation results available from COMSOL ...

The partial differential differential equations being solved are the Euler equations of gasdynamics: with piecewise constant initial conditions (also known as Sod's shock tube problem). The ...

This paper develops two local mesh-free methods for designing stencil weights and spatial discretization, respectively, for parabolic partial differential equations (PDEs) of ...

The coloured diagrams at right represent the normalized instantaneous ... Pacheco-Peña, doi : 10.1117/1.APN.3.5.056007) Waveguide-based structures can solve partial differential equations by mimicking ...