A comparison between the Differential Transform Method and the Adomian Decomposition Method for the Burgers equation
Journal Title: International Journal of engineering Research and Applications - Year 2017, Vol 7, Issue 12
Abstract
In this paper, we consider the Differential Transform Method (DTM)and the Adomian Decomposition Method (ADM) for finding approximate and exact solution of the Burgers equation. Moreover, the reliability and performance of DTM and ADM. Numerical results show that these methods are powerful tools for solving Burgers equation. A simple model of turbulence is represented by Burgerβs equation ππ’ ππ‘ + π’ ππ’ ππ₯ = π π 2π’ ππ₯ 2 , π < π₯ < π , π‘ > 0 1 With the initial condition π’ π₯, 0 = π π₯ , π < π₯ < π 2 and the boundary conditions: π’ π,π‘ = π1 π‘ , π’ π,π‘ = π2 π‘ , π‘ > 0 3 where π is the kinematic viscosity. Thus Burgerβs equation is as balance between time evolution, nonlinearity and diffusion. It may be noted that the equation is parabolic if π β 0 and hyperbolic if π = 0.
Authors and Affiliations
Ahmad M. D. Al- Eybani
Keywords
Related Articles
- EP ID EP393297
- DOI 10.9790/9622-0712074348
- Views 71
- Downloads 0
Android Based Body Temperature, Heart Beat and Drouse Sensor Monitoring Using and SMS Based Telemedicine System
The primary concentration of this paper is to execute a model for the constant patient checking framework. This framework is utilized to quantify crucial parameters, for example, body temperature, pulse, ECG, glucose and...
Selective approach to efficient ethanol production using adaptation of producer Saccharomyces cerevisiae to hyperosmotic medium
The resistance to ethanol of 18 strains of alcoholic yeast Saccharomyces cerevisiae, including production strains, was studied. It is shown that yeast growth was inhibited by increasing the concentration of ethanol in th...
Integrated Converter Topologies Implementation to Photovoltaic Modules Connected to Grid
The development of photovoltaic (PV) module generation is increasing at almost an exponential rate. A PV based power system with high voltage gain and the steady-state analysis are presented in this paper. For a conventi...
Analysis of Payment Card Industry Data Security Standard [PCI DSS] Compliance by Confluence of COBIT 5 Framework
The Payment Card Industry Data Security Standard (PCI DSS) aims to enhance the security of cardholder data and is required when cardholder data or authentication data are stored, processed or transmitted. The implementat...
Structure and Facet Characterization of Platinum Nanoparticles Loaded on Carbon Black Particles using HRTEM
The atomic structure of platinum nanoparticles (Pt NPs) loaded on carbon black (CB) particles was investigated using high-resolution transmission electron microscopy (HRTEM). The Pt NPs were inhomogeneously strained and...