𝔖 Bobbio Scriptorium
✦   LIBER   ✦

Least-squares quadratic B-spline finite element method for the regularised long wave equation

✍ Scribed by İdris Daǧ

Publisher
Elsevier Science
Year
2000
Tongue
English
Weight
219 KB
Volume
182
Category
Article
ISSN
0045-7825

No coin nor oath required. For personal study only.

✦ Synopsis

An approximate solution consisting of a combination of the quadratic B-spline functions is incorporated into the least-squares method. An application of this method is presented for computing the solution of the Regularised Long Wave (RLW) equation. Quadratic B-spline solution of the RLW equation leads to tridiagonal matrix system which is solved easily by using the Thomas algorithm. Performance of this scheme is tested by obtaining a solitary wave solution of the equation and by studying the development of the undular bore. Numerical results of the proposed algorithm is shown to have higher accuracy in terms of L 2 -error norm compared studying the migration of the solitary wave. A Fourier stability analysis of the method is investigated.

📜 SIMILAR VOLUMES

A B-spline finite element method for the
A B-spline finite element method for the regularized long wave equation
✍ Gardner, L. R. T. ;Gardner, G. A. ;Dag, I. 📂 Article 📅 1995 🏛 John Wiley and Sons 🌐 English ⚖ 426 KB 👁 1 views

A B-spline finite element method is used to solve the regularized long wave equation numerically. This approach involves a Galerkin method with quadratic B-spline finite elements so that there is continuity of the dependent variable and its first derivative throughout the solution range. Time integr

Corrigendum to: “Least-squares quadratic
Corrigendum to: “Least-squares quadratic B-spline finite element method for the regularized long wave equation” [Comput. Methods Appl. Mech. Engrg. 182 (2000) 205–215]
✍ İ Dağ 📂 Article 📅 2001 🏛 Elsevier Science 🌐 English ⚖ 23 KB

It has been brought to the attention of the Editors and Publisher that there was a signi®cant omission in the references of the above paper. The 1997 Ph.D. Thesis of Dr. Abdul-Kadir Dogan entitled ``Petrov±Galerkin ®nite element methods'' (University of Wales (Bangor)) should be cited in the refere