THERMAL SCIENCE
International Scientific Journal
DIFFUSION-CONVECTION EQUATIONS AND CLASSICAL SYMMETRY CLASSIFICATION
ABSTRACT
In this paper, Lie algorithm is used to classify the classical symmetry of a general diffusion-convection equation. The solution process is elucidated for different conditions, and the obtained symmetries can be used to study the solution properties of the diffusion-convection equation.
KEYWORDS
PAPER SUBMITTED: 2018-07-21
PAPER REVISED: 2018-10-25
PAPER ACCEPTED: 2018-10-25
PUBLISHED ONLINE: 2019-09-14
THERMAL SCIENCE YEAR
2019, VOLUME
23, ISSUE
Issue 4, PAGES [2151 - 2156]
- Hao, X. Z., et al., The Residual Symmetry And Exact Solutions Of The Davey-Stewartson III Equation, Computers & Mathematics with Applications, 73 (2017), 11, pp. 2404-2414
- Liu, Y. K., Li, B., Nonlocal Symmetry and Exact Solutions of the (2+1)-Dimensional Gardner Equation, Chinese Journal of Physics, 54 (2016), 5, pp. 718-723
- Cheng, W. G., et al., Nonlocal Symmetry And Exact Solutions Of The (2+1)-Dimensional Breaking Sol-iton Equation, Communications in Nonlinear Science and Numerical Simulation, 29 (2015), 1-3, pp.198-207
- Feng, L. L., et al., Lie Symmetries, Conservation Laws and Analytical Solutions for Two-Component Integrable Equations, Chinese Journal of Physics, 55 (2017), 3, pp. 996-1010
- Tian, S. F., et al., Lie Symmetry Analysis, Conservation Laws and Analytical Solutions for the Constant Astigmatism Equation, Chinese Journal of Physics, 55 (2017), 5, pp. 1938-1952
- Wei, G. M., et al., Lie Symmetry Analysis and Conservation Law of Variable-Coefficient Davey-Ste-wartson Equation, Computers & Mathematics with Applications, 79 (2018), 5, pp. 3420-3430
- Zhang, Z. Y., Conservation Laws of Partial Differential Equations: Symmetry, Adjoint Symmetry and Nonlinear Self-Adjointness, Computers & Mathematics with Applications, 74 (2017), 12, pp. 3129-3140
- He, J.-H., Hamilton's Principle for Dynamical Elasticity, Applied Mathematics Letters, 72 (2017), Oct., pp. 65-69
- He, J.-H., Generalized Equilibrium Equations for Shell Derived from a Generalized Variational Princi-ple, Applied Mathematics Letters, 64 (2017), Feb., pp. 94-100
- Wu, Y., He, J.-H., A Remark on Samuelson's Variational Principle in Economics, Applied Mathematics Letters 84 (2018), Oct., pp.143-147
- He, J.-H., An Alternative Approach to Establishment of a Variational Principle for the Torsional Prob-lem of Piezoelastic Beams, Applied Mathematics Letters, 52 (2016), Feb., pp. 1-3
- Wang, Y., Dong, Z. Z., Symmetry of a 2+1-D System, Thermal Science, 22 (2018), 4, pp. 1811-1822
- He, J.-H., Fractal Calculus and its Geometrical Explanation, Results in Physics, 10 (2018), Sept., pp. 272-276
- Li, X. X., et al., A Fractal Modification of the Surface Coverage Model for an Electrochemical Arsenic Sensor, Electrochimica Acta, 296 (2019), Feb., pp. 491-493
- Wang, Q. L., et al., Fractal Calculus and its Application to Explanation of Biomechanism of Polar Bear Hairs, Fractals, 26 (2018), 6, ID 1850086
- Wang, Y., Deng, Q., Fractal Derivative Model for Tsunami Travelling, Fractals, On-line first, doi.org/10.1142/ S0218348X19500178
- Wang, Y., An, J. Y., Amplitude-Frequency Relationship to a Fractional Duffing Oscillator Arising in Microphysics and Tsunami Motion, Journal of Low Frequency Noise, Vibration & Active Control, On-line first, doi.org/10.1177/1461348418795813