𝔖 Bobbio Scriptorium
✦   LIBER   ✦

Numerical solutions of two-dimensional Burgers’ equations by discrete Adomian decomposition method

✍ Scribed by Hongqing Zhu; Huazhong Shu; Meiyu Ding

Publisher
Elsevier Science
Year
2010
Tongue
English
Weight
746 KB
Volume
60
Category
Article
ISSN
0898-1221

No coin nor oath required. For personal study only.

✦ Synopsis

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 results are in good agreement with the exact solutions for each problem.

📜 SIMILAR VOLUMES

Analytical solution for the space fracti
Analytical solution for the space fractional diffusion equation by two-step Adomian Decomposition Method
✍ Santanu Saha Ray 📂 Article 📅 2009 🏛 Elsevier Science 🌐 English ⚖ 300 KB

Spatially fractional order diffusion equations are generalizations of classical diffusion equations which are increasingly used in modeling practical superdiffusive problems in fluid flow, finance and other areas of application. This paper presents the analytical solutions of the space fractional di

Analytical solution of the linear fracti
Analytical solution of the linear fractional differential equation by Adomian decomposition method
✍ Yizheng Hu; Yong Luo; Zhengyi Lu 📂 Article 📅 2008 🏛 Elsevier Science 🌐 English ⚖ 161 KB

In this paper, we consider the n-term linear fractional-order differential equation with constant coefficients and obtain the solution of this kind of fractional differential equations by Adomian decomposition method. With the equivalent transmutation, we show that the solution by Adomian decomposit

New technique to avoid “noise terms” on
New technique to avoid “noise terms” on the solutions of inhomogeneous differential equations by using Adomian decomposition method
✍ Z.M. Gharsseldien; K. Hemida 📂 Article 📅 2009 🏛 Elsevier Science 🌐 English ⚖ 169 KB

In this paper we present a new technique to get the solutions of inhomogeneous differential equations using Adomian decomposition method (ADM) without noise terms. We construct an appropriate differential equations for the inhomogeneity function which must be contains the integral variable, and conv

Solution of non-linear Klein–Gordon equa
Solution of non-linear Klein–Gordon equation with a quadratic non-linear term by Adomian decomposition method
✍ Kartik Chandra Basak; Pratap Chandra Ray; Rasajit Kumar Bera 📂 Article 📅 2009 🏛 Elsevier Science 🌐 English ⚖ 122 KB

Non-linear PDEs are systematically solved by the decomposition method of Adomian for general boundary conditions described by boundary operator equations. In the present case the solution of the non-linear Klein-Gordon equation has been considered as an illustration of the decomposition method of Ad