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Warianty tytułu
Nowy algorytm genetyczny do ustalania parametrów w równaniach różniczkowych o wielu rozwiązaniach
Języki publikacji
Abstrakty
In fluid mechanics, to obtain the multiple solutions in ordinary differential equations is always a concerned and difficult problem. In this paper, a novel RNA genetic algorithm (NRNA-GA) inspired by RNA molecular structure and operators is proposed to solve the parameter estimation problems of the multiple solutions in fluid mechanics. This algorithm has improved greatly in precision and the success rate. Multiple solutions can be found through changing accuracy and search coverage and multi-iterations of computer. At last, parameter estimation of the ordinary differential equations with multiple solutions is calculated. We found that the result has great accuracy and this method is practical.
W artykule zaproponowano nowy algorytm genetyczny NRNA-GA inspirowany strukturą molekularną RNA przeznaczony do rozwiązywania równań z wieloma rozwiązaniami w mechanice cieczy.
Wydawca
Czasopismo
Rocznik
Tom
Strony
118--120
Opis fizyczny
Bibliogr. 15 poz., tab.
Twórcy
autor
- College of Water Conservancy and Hydropower Engineering, Hohai University, Nanjing, China
autor
- College of Water Conservancy and Hydropower Engineering, Hohai University, Nanjing, China
autor
- College of Water Conservancy and Hydropower Engineering, Hohai University, Nanjing, China
autor
- College of Water Conservancy and Hydropower Engineering, Hohai University, Nanjing, China
autor
- College of Water Conservancy and Hydropower Engineering, Hohai University, Nanjing, China
autor
- School of Mathematics and Physics,University of Science and Technology Beijing, Beijing, China
Bibliografia
- [1] Robinson W. A., The existence of multiple solutions for the laminar flow in a uniformly porous channel with suction at both walls, Journal of Engineering Mathematics., 10(1976), 23-40
- [2] Liao S.J., On the homotopy analysis method for nonlinear problems, Applied Mathematics and Computation., 147 (2004), 499-513
- [3] Liao S.J., Notes on the homotopy analysis method: Some definitions and theorems, Commun Nonlinear Sci Numer Simul., 14 (2009), 983-997
- [4] Abbasbandy S., Shivanian E., Prediction of multiplicity of solutions of nonlinear boundary value problems: Novel application of homotopy analysis method, Commun Nonlinear Sci Numer Simulat., 15 (2010), 3830-3846
- [5] Abbasbandy S., Shivanian E., The homotopy analysis method for multiple solutions of nonlinear boundary value problems, Commun Nonlinear Sci Numer Simulat., 14 (2009), 3530-3536
- [6] Liao S.J., A new branch of solutions of boundary-layer flows over an impermeable stretched plate, International Journal of Heat and Mass Transfer., 48 (2005), 2529-2539
- [7] Wang K.T., Wang N., A novel RNA genetic algorithm for parameter estimation of dynamic systems, Chemical Engineering Research and Design., 88 (2010), 1485-1493
- [8] Christian H., A Genetic Algorithm tool for optimising cellular or functional layouts in the capital goods industry, Int. J. Production Economics., 104 (2006) 598-614
- [9] Wang K.T., Wang N., A protein inspired RNA genetic algorithm for parameter estimation in hydrocracking of heavy oil, Chemical Engineering Research and Design., 12 (2010), 7594
- [10] Musharavati F., Hamouda A.S.M., Modified genetic algorithms for manufacturing process planning in multiple parts manufacturing lines, Expert Systems with Applications., 38 (2011), 10770-10779
- [11] Tao J.L., Wang N., DNA computing based RNA genetic algorithm with application in parameter estimation of chemical engineering processes, Computers and Chemical Engineering., 31 (2007), 1602-1618
- [12] Chen X., Wang N., A DNA based genetic algorithm for parameter estimation in the hydrogenation reaction, Chemical Engineering Journal., 150 (2009), 527-535
- [13] Figielska E.A., genetic algorithm and a simulated annealing algorithm combined with column generation technique for solving the problem of scheduling in the hybrid flowshop with additional resources, Computers & Industrial Engineering., (56) 2009, 142-151
- [14] Aryanezhad M.B., Mohammad H., A new genetic algorithm for solving nonconvexnonlinear programming problems, Applied Mathematics and Computation., 199 (2008), 186-194
- [15] Dauenhauer E.C., Majdalani J., Exact self-similarity solution of the Navier-Stokes equations for a porous channel with orthogonally moving walls, Physics of Fluids., 15 (2003), No.6, 1485-1495
Typ dokumentu
Bibliografia
Identyfikator YADDA
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