An exponential cubic B-spline algorithm for solving the nonlinear Coupled Burgers’ equation

Ersoy Hepson, Ozlem; Dag, Idris

doi:10.22034/cmde.2020.39486.1727

An exponential cubic B-spline algorithm for solving the nonlinear Coupled Burgers’ equation

Document Type : Research Paper

Authors

Ozlem Ersoy Hepson ¹
Idris Dag ²

¹ Mathematics and Computer Science Department, Science and Letters Faculty, Eskisehir Osmangazi University, 26480, Eskisehir, Turkey.

² Idris Dag Computer Engineering Department, Engineering and Architecture Faculty, Eskisehir Osmangazi University, 26480, Eskisehir, Turkey.

10.22034/cmde.2020.39486.1727

Abstract

The collocation method based on the exponential cubic B-splines (ECB-splines) together with the Crank Nicolson formula is used to solve nonlinear coupled Burgers’ equation (CBE). This method is tested by studying three different problems. The proposed scheme is compared with some existing methods. It produced accurate results with the suitable selection of the free parameter of the ECB-spline function. It produces accurate results. Stability of the fully discretized CBE is investigated by the Von Neumann analysis.

Keywords

20.1001.1.23453982.2021.9.4.13.5

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