𝔖 Bobbio Scriptorium
✦   LIBER   ✦

A finite difference method for the numerical solution of fourth-order differential equations with engineering applications

✍ Scribed by G. Papakaliatakis; T.E. Simos


Publisher
Elsevier Science
Year
1997
Tongue
English
Weight
349 KB
Volume
65
Category
Article
ISSN
0045-7949

No coin nor oath required. For personal study only.

✦ Synopsis


A new finite difference scheme with minimal phase-lag for the numerical solutton of fourth-order differential equations with engineering applications is developed in this paper. Numerical and theoretical results show that this new approach is more efficient compared with previously derived methods.


📜 SIMILAR VOLUMES


A Conservative Finite Difference Method
✍ Phillip Colella; Milo R Dorr; Daniel D Wake 📂 Article 📅 1999 🏛 Elsevier Science 🌐 English ⚖ 328 KB

This paper describes a numerical method for the solution of a system of plasma fluid equations. The fluid model is similar to those employed in the simulation of high-density, low-pressure plasmas used in semiconductor processing. The governing equations consist of a drift-diffusion model of the ele

A fourth-order finite-difference method
✍ Wenyuan Liao 📂 Article 📅 2009 🏛 John Wiley and Sons 🌐 English ⚖ 663 KB

## Abstract A fourth‐order compact finite‐difference method is proposed in this paper to solve the system of two‐dimensional Burgers' equations. The new method is based on the two‐dimensional Hopf–Cole trans‐formation, which transforms the system of two‐dimensional Burgers' equations into a linear