𝔖 Bobbio Scriptorium
✦   LIBER   ✦

Extension of the Exp-function method for systems of two-dimensional Burgers equations

✍ Scribed by J. Biazar; Z. Ayati

Publisher
Elsevier Science
Year
2009
Tongue
English
Weight
308 KB
Volume
58
Category
Article
ISSN
0898-1221

No coin nor oath required. For personal study only.

✦ Synopsis

The Exp-function method has been applied to solve many functional equations so far. But it has not been used for systems of equations directly. In this paper, the Exp-function method is applied to obtain generalized solitonary solutions of a system of two-dimensional Burgers equations (STDBE). It has been shown that the Exp-function method, with the help of symbolic computation, provides a very effective and powerful mathematical tool for solving a system of functional equations.

📜 SIMILAR VOLUMES

A fourth-order finite-difference method
A fourth-order finite-difference method for solving the system of two-dimensional Burgers' equations
✍ 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

The Modified Local Crank–Nicolson method
The Modified Local Crank–Nicolson method for one- and two-dimensional Burgers’ equations
✍ Pengzhan Huang; Abdurishit Abduwali 📂 Article 📅 2010 🏛 Elsevier Science 🌐 English ⚖ 341 KB

The Modified Local Crank-Nicolson method is applied to solve one-and two-dimensional Burgers' equations. New difference schemes that are explicit, unconditionally stable, and easy to compute are obtained. Numerical solutions obtained by the present method are compared with exact solutions, and it is

Numerical solutions of two-dimensional B
Numerical solutions of two-dimensional Burgers’ equations by discrete Adomian decomposition method
✍ Hongqing Zhu; Huazhong Shu; Meiyu Ding 📂 Article 📅 2010 🏛 Elsevier Science 🌐 English ⚖ 746 KB

In this paper, the discrete Adomian decomposition method (ADM) is proposed to numerically solve the two-dimensional Burgers' nonlinear difference equations. Two test problems are considered to illustrate the accuracy of the proposed discrete decomposition method. It is shown that the numerical resul

An application of the decompositionmetho
An application of the decompositionmethod for the two-dimensional KdV-Burgers equation
✍ D. Kaya 📂 Article 📅 2004 🏛 Elsevier Science 🌐 English ⚖ 450 KB

## Abstraet--A relatively new decomposition method is presented to find the explicit and numerical solutions of the two-dimensional Korteweg-de Vries Burgers' equation (tdKdVB for short) for the initial conditions. Some numerical results are also given for this equation by using the decomposition