Boletín de la Sociedad Mexicana de Computación Científica y sus Aplicaciones

Numerical Solution of Advection Equations Using Structured Grids on Plane Irregular Regions With a Finite Differences Scheme

Abstract

Today we faced the problem of solving equations for shallow bodies of water in irregular regions; These equations are very important to be able to model the behavior of liquids that have the characteristic that their extension is much greater than their depth. One of the important [...]

Revista Internacional de Métodos Numéricos para Cálculo y Diseño en Ingeniería

Numerical solution of diffusion equation using a method of lines and generalized finite differences

Abstract

One of the greatest challenges in the area of applied mathematics continues to be the design of numerical methods capable of approximating the solution of partial differential equations quickly and accurately. One of the most important equations, due to the hydraulic and [...]