A quick tutorial for using Finite Difference Methods (FDMs) and Finite Element Methods (FEMs) for solving Partial Differential Equations - BesherTaye/PDEs-in-Python ...

Technical Terms Fractional Difference Equations: Equations that extend the concept of difference equations to non-integer orders, capturing memory and hereditary effects in discrete systems.

The FDM in heat transfer The FDM is one of the numerical methods often used to solve the Laplace equation. The method starts by discretizing the continuous physical domain into a discrete finite ...

Difference Equations and Boundary Value Problems Publication Trend The graph below shows the total number of publications each year in Difference Equations and Boundary Value Problems.

Also, the solutions to linear difference equations over the circle group can be simply described in a fashion which an example shows cannot be extended to all compact abelian groups.

ABSTRACT: We proposed a higher-order accurate explicit finite-difference scheme for solving the two-dimensional heat equation. It has a fourth-order approximation in the space variables, and a ...