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Stability of explicit finite difference schemes for hyperbolic system.

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Hisoblash va amaliy matematika muammolari

Hisoblash va amaliy matematika muammolari

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ARTICLE ANNOTATION

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The article describes and examines modern numerical methods for the numerical solution of partial differential equations of hyperbolic systems (shortly hyperbolic system). Hyperbolic equations can be found in many areas of physics and mechanics, such as acoustics, fluid dynamics, elasticity theory, magneto-hydrodynamics, shallow water equations, and others. The article is designed for researchers who are faced with the necessity of solving hyperbolic systems in various areas of mechanics, physics and applied mathematics. The feature of the article is to present and classify the different numerical methods expounded on the basis of a single common approach. The article aims to provide a set of reliable modern numerical methods to solve linear and nonlinear hyperbolic systems of partial differential equations in one-dimensional and multidimensional cases. Some well-known difference schemes such as Godunov, Lax and Rusanov are discussed, and new explicit finite difference schemes are suggested.

AUTHORS

R.Aloyev

Mirzo Ulug'bek nomidagi O'zbekiston Milliy universiteti

M.Xudoyberganov

Mirzo Ulug'bek nomidagi O'zbekiston Milliy universiteti

Tags

# stability# устойчивость# difference scheme# hyperbolic system# разностная схема# гиперболическая система# ayirmali sxema# giperbolik sistema# turg`unlik

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Article Identifiers

ROI:

https://eroi.uz/11.0007/A1119-0035

DOI:

Not Available

References

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