𝔖 Bobbio Scriptorium
✦   LIBER   ✦

A new third-order finite-difference method for transient one-dimensional advection—diffusion

✍ Scribed by Noye, B. J.

Publisher
Wiley (John Wiley & Sons)
Year
1990
Tongue
English
Weight
503 KB
Volume
6
Category
Article
ISSN
0748-8025

No coin nor oath required. For personal study only.

✦ Synopsis

The accuracy of some first-and second-order methods for solving the time-dependent one-dimensional constant-coefficient advection-diffusion equation are compared theoretically on the basis of the dominant error terms in their modified equivalent partial differential equations. A new very stable three-point (in space) third-order implicit method is then developed by combining two second-order methods. The accuracies of the various methods are then compared by means of numerical tests.

📜 SIMILAR VOLUMES

A note on second-order finite-difference
A note on second-order finite-difference schemes on uniform meshes for advection--diffusion equations
✍ Daniele Funaro 📂 Article 📅 1999 🏛 John Wiley and Sons 🌐 English ⚖ 85 KB 👁 2 views

An artificial-viscosity finite-difference scheme is introduced for stabilizing the solutions of advectiondiffusion equations. Although only the linear one-dimensional case is discussed, the method is easily susceptible to generalization. Some theory and comparisons with other well-known schemes are

Taylor-Galerkin B-spline finite element
Taylor-Galerkin B-spline finite element method for the one-dimensional advection-diffusion equation
✍ Mohan K. Kadalbajoo; Puneet Arora 📂 Article 📅 2009 🏛 John Wiley and Sons 🌐 English ⚖ 361 KB

## Abstract The advection‐diffusion equation has a long history as a benchmark for numerical methods. Taylor‐Galerkin methods are used together with the type of splines known as B‐splines to construct the approximation functions over the finite elements for the solution of time‐dependent advection‐