NUMERICAL METHODS OF BRAILOVSKY AND ALLEN-CHEN FOR SOLVING THE BURGERS EQUATION

Navruzov Dilshod Primkulovich; Raximov Dilshodjon Turdiali ugli; Fardaev Jonibek Norkuloviya

doi:10.17605/OSF.IO/7U2W5

Authors

Navruzov Dilshod Primkulovich I year Ph.D. of the laboratory of "Mechanics of liquid and gas" of the Institute of MISS named after M.T. Urazboeva AN Uz, Tashkent, Uzbekistan
Raximov Dilshodjon Turdiali ugli I year Ph.D. of the laboratory of "Mechanics of liquid and gas" of the Institute of MISS named after M.T. Urazboeva AN Uz, Tashkent, Uzbekistan.
Fardaev Jonibek Norkuloviya I year Ph.D. of the laboratory of "Mechanics of liquid and gas" of the Institute of MISS named after M.T. Urazboeva AN Uz, Tashkent, Uzbekistan.

DOI:

https://doi.org/10.17605/OSF.IO/7U2W5

Keywords:

Two-step method, explicit scheme, finite difference scheme, predictor, corrector, viscous term, first order of accuracy.

Abstract

It is proposed to use the Burgers equation as a model equation in the development of a technique for the numerical study of the convergence and stability parameters of difference schemes when calculating the dynamics of a viscous medium by the method of grids. Exact solutions of the above equation are presented. To solve the parabolic burgers equation, two-step finite-difference methods are used.

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References

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