Algebraic dynamics solution to and algebraic dynamics algorithm for nonlinear advection equation

Algebraic dynamics approach and algebraic dynamics algorithm for the solution of nonlinear partial differential equations are applied to the nonlinear advection equation. The results show that the approach is effective for the exact analytical solution and the algorithm has higher precision than oth...

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Bibliographic Details
Published in:Science China. Physics, mechanics & astronomy Vol. 51; no. 10; pp. 1470 - 1478
Main Authors: Zhang, Hua, Lu, WeiTao, Wang, ShunJin
Format: Journal Article
Language:English
Published: Heidelberg SP Science in China Press 01.10.2008
Springer Nature B.V
Subjects:
Advection
Algebra
Algorithms
Astronomy
Classical and Continuum Physics
Differential equations
Exact solutions
Nonlinear differential equations
Nonlinear dynamics
Numerical analysis
Observations and Techniques
Partial differential equations
Physics
Physics and Astronomy
algebraic dynamics solution in functional space
algebraic dynamics algorithm for nonlinear advection equation
nonlinear advection equation
ISSN:1672-1799, 1674-7348, 1862-2844, 1869-1927
Online Access:Get full text
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Summary:Algebraic dynamics approach and algebraic dynamics algorithm for the solution of nonlinear partial differential equations are applied to the nonlinear advection equation. The results show that the approach is effective for the exact analytical solution and the algorithm has higher precision than other existing algorithms in numerical computation for the nonlinear advection equation.
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ISSN:1672-1799
1674-7348
1862-2844
1869-1927
DOI:10.1007/s11433-008-0148-9