Wednesday 10 September 2008

Wseas Transactions

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Transactions: WSEAS TRANSACTIONS ON COMPUTERS
Transactions ID Number: 28-189
Full Name: R NAIDOO
Position: Professor
Age: ON
Sex: Male
Address: 140 lOTUS ROAD,SPRINGFIELD,DURBAN,4091
Country: SOUTH AFRICA
Tel: +27-31-2078024
Tel prefix: 0027-31
Fax: 0027-31-3732371
E-mail address: naidoor@dut.ac.za
Other E-mails: r_naidoo@telkomsa.net
Title of the Paper: MODELLING A PLASMA SYSTEM FOR SOLITON AND SHOCKWAVES WITH A SPLITTING SCHEME AND A SECOND AND A THIRD ORDER HIGH RESOLUTION SCHEME
Authors as they appear in the Paper: R.amu Naidoo
Email addresses of all the authors: NAIDOOR@DUT.AC.ZA
Number of paper pages: 10
Abstract: A splitting and a fully discrete second order and a third order semi discrete schemes are modified and adapted for a numerical solution of a hyperbolic system of a one dimensional electrostatic plasma fluid equation. Illustrations as to how the splitting and the NNT (fully discrete) and the semi-discrete (SD3) schemes capture the formation and evolution of ion acoustic solitons and shockwaves were performed. In this study we perform a comparison between a fully discrete NNT and the semi discrete SD3 high resolution schemes and the splitting scheme which is constructed for the first time for a one dimensional plasma systems in the present study. The results indicate that the splitting scheme demonstrates clear superiority over the NNT and SD3 schemes in the soliton solution where the numerical noise of the electron waves is reduced significantly. For the shock wave solution the NNT and SD3 schemes are similar to the splitting scheme but exhibit oscillations at the c!
ontact discontinuity. However the splitting scheme exhibit a smaller computational time than the NNT and SD3 schemes. It is thus advocated that in a one dimensional plasma system for solution and shockwaves simulations the splitting scheme and NNT /SD3 schemes be utilised respectively.
Keywords: solitons,shockwaves,hyperbolic,plasma,split scheme,high resolution scheme
EXTENSION of the file: .pdf
Special (Invited) Session: Using the flux splitting and high resolution scheme for soliton and
Organizer of the Session: 591-636
How Did you learn about congress: Naraino@ukzn.ac.za,moyos@dut.ac.za,KevinD@dut.ac.za
IP ADDRESS: 198.54.202.146