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Volumn 2011, Issue , 2011, Pages

Combining LEGENDRE's polynomials and genetic algorithm in the solution of nonlinear initial-value problems

Author keywords

[No Author keywords available]

Indexed keywords

ADAMS METHOD; ITERATIVE PROCEDURES; LEGENDRE; MASS MATRICES; NONLINEAR INITIAL-VALUE PROBLEMS; NUMERICAL SOLUTION; POLYNOMIAL COEFFICIENTS; POLYNOMIAL FITTINGS; RUNGE-KUTTA; RUNNING PROCESS;

EID: 80053595719     PISSN: 1024123X     EISSN: 15635147     Source Type: Journal    
DOI: 10.1155/2011/521342     Document Type: Article
Times cited : (8)

References (25)
  • 3
    • 0030621841 scopus 로고    scopus 로고
    • The MATLAB ode suite
    • PII S1064827594276424
    • Shampine L. F., Reichelt M. W., The MATLAB ODE suite Society for Industrial and Applied Mathematics Journal on Scientific Computing 1997 18 1 1 22 (Pubitemid 127643992)
    • (1997) SIAM Journal of Scientific Computing , vol.18 , Issue.1 , pp. 1-22
    • Shampine, L.F.1    Reichelt, M.W.2
  • 5
    • 0034516490 scopus 로고    scopus 로고
    • Solving inverse initial-value, boundary-value problems via genetic algorithm
    • DOI 10.1016/S0952-1976(00)00025-7
    • Karr C. L., Yakushin I., Nicolosi K., Solving inverse initial-value, boundary-value problems via genetic algorithm Engineering Applications of Artificial Intelligence 2000 13 6 625 633 (Pubitemid 32034094)
    • (2000) Engineering Applications of Artificial Intelligence , vol.13 , Issue.6 , pp. 625-633
    • Karr, C.L.1    Yakushin, I.2    Nicolosi, K.3
  • 6
    • 11144337211 scopus 로고    scopus 로고
    • Modified differential evolution: A greedy random strategy for genetic recombination
    • DOI 10.1016/j.omega.2004.04.009, PII S0305048304000702
    • Bergey P. K., Ragsdale C., Modified differential evolution: a greedy random strategy for genetic recombination Omega 2005 33 3 255 265 (Pubitemid 40041894)
    • (2005) Omega , vol.33 , Issue.3 , pp. 255-265
    • Bergey, P.K.1    Ragsdale, C.2
  • 7
    • 56349156927 scopus 로고    scopus 로고
    • Parameter estimation in mathematical models using the real coded genetic algorithms
    • Tutkun N., Parameter estimation in mathematical models using the real coded genetic algorithms Expert Systems with Applications 2009 36 2 3342 3345
    • (2009) Expert Systems with Applications , vol.36 , Issue.2 , pp. 3342-3345
    • Tutkun, N.1
  • 8
    • 8344277678 scopus 로고    scopus 로고
    • Philadelphia, Pa, USA Society for Industrial and Applied Mathematics
    • Moler C. B., Numerical Computing with MATLAB 2004 Philadelphia, Pa, USA Society for Industrial and Applied Mathematics xii+336
    • (2004) Numerical Computing with MATLAB , pp. 336
    • Moler, C.B.1
  • 13
    • 0037097068 scopus 로고    scopus 로고
    • Legendre expansion method for the solution of the second- and fourth-order elliptic equations
    • DOI 10.1016/S0378-4754(01)00421-9, PII S0378475401004219
    • Elbarbary E. M. E., Legendre expansion method for the solution of the second- and fourth-order elliptic equations Mathematics and Computers in Simulation 2002 59 5 389 399 (Pubitemid 34545694)
    • (2002) Mathematics and Computers in Simulation , vol.59 , Issue.5 , pp. 389-399
    • Elbarbary, E.M.E.1
  • 14
    • 34247593792 scopus 로고    scopus 로고
    • Numerical solution of differential equations by using Chebyshev wavelet operational matrix of integration
    • DOI 10.1016/j.amc.2006.10.008, PII S0096300306013786
    • Babolian E., Fattahzadeh F., Numerical solution of differential equations by using Chebyshev wavelet operational matrix of integration Applied Mathematics and Computation 2007 188 1 417 426 (Pubitemid 46686737)
    • (2007) Applied Mathematics and Computation , vol.188 , Issue.1 , pp. 417-426
    • Babolian, E.1    Fattahzadeh, F.2
  • 15
    • 45449098511 scopus 로고    scopus 로고
    • A modified genetic algorithm for solving the inverse heat transfer problem of estimating plan heat source
    • Liu F. B., A modified genetic algorithm for solving the inverse heat transfer problem of estimating plan heat source International Journal of Heat and Mass Transfer 2008 51 15-16 3745 3752
    • (2008) International Journal of Heat and Mass Transfer , vol.51 , Issue.1516 , pp. 3745-3752
    • Liu, F.B.1
  • 16
    • 33845246129 scopus 로고    scopus 로고
    • Control of flow using genetic algorithm for a circular cylinder executing rotary oscillation
    • DOI 10.1016/j.compfluid.2006.03.002, PII S0045793006000521
    • Sengupta T. K., Kalyanmoy, D., Srikanth B. T., Control of flow using genetic algorithm for a circular cylinder executing rotary oscillation Computers and Fluids 2007 36 3 578 600 (Pubitemid 44858089)
    • (2007) Computers and Fluids , vol.36 , Issue.3 , pp. 578-600
    • Sengupta, T.K.1    Deb, K.2    Talla, S.B.3
  • 19
    • 3042858789 scopus 로고    scopus 로고
    • Determination of a unique solution to parallel proton transfer reactions using the genetic algorithm
    • DOI 10.1529/biophysj.104.039925
    • Moscovitch D., Noivirt O., Mezer A., Nachliel E., Mark T., Gutman M., Fibich G., Determination of a unique solution to parallel proton transfer reactions using the genetic algorithm Biophysical Journal 2004 87 1 47 57 (Pubitemid 38880063)
    • (2004) Biophysical Journal , vol.87 , Issue.1 , pp. 47-57
    • Moscovitch, D.1    Noivirt, O.2    Mezer, A.3    Nachliel, E.4    Mark, T.5    Gutman, M.6    Fibich, G.7
  • 20
    • 26644450947 scopus 로고    scopus 로고
    • Efficient parallel implementation of hybrid optimization approaches for solving groundwater inverse problems
    • DOI 10.1061/(ASCE)0887-3801(2005)19:4(329)
    • Sayeed M., Mahinthakumar G. K., Efficient parallel implementation of hybrid optimization approaches for solving groundwater inverse problems Journal of Computing in Civil Engineering 2005 19 4 329 340 (Pubitemid 41441364)
    • (2005) Journal of Computing in Civil Engineering , vol.19 , Issue.4 , pp. 329-340
    • Sayeed, M.1    Mahinthakumar, G.K.2
  • 21
    • 0001182569 scopus 로고    scopus 로고
    • Numerical solution of the Schrdinger equation by a microgenetic algorithm
    • Nakanishi H., Sugawara M., Numerical solution of the Schrdinger equation by a microgenetic algorithm Chemical Physics Letters 2000 327 5-6 429 438
    • (2000) Chemical Physics Letters , vol.327 , Issue.56 , pp. 429-438
    • Nakanishi, H.1    Sugawara, M.2
  • 22
    • 0002870434 scopus 로고    scopus 로고
    • Numerical solutions of the Schrödinger equation directly or perturbatively by a genetic algorithm: Test cases
    • PII S0009261498009737
    • Chaudhury P., Bhattacharyya S. P., Numerical solutions of the Schrdinger equation directly or perturbatively by a genetic algorithm: test cases Chemical Physics Letters 1998 296 1-2 51 60 (Pubitemid 128340075)
    • (1998) Chemical Physics Letters , vol.296 , Issue.1-2 , pp. 51-60
    • Chaudhury, P.1    Bhattacharyya, S.P.2
  • 23
    • 0026461543 scopus 로고
    • Exact Gaussian quadrature methods for near-singular integrals in the boundary element method
    • Lutz E., Exact Gaussian quadrature methods for near-singular integrals in the boundary element method Engineering Analysis with Boundary Elements 1992 9 3 233 245
    • (1992) Engineering Analysis with Boundary Elements , vol.9 , Issue.3 , pp. 233-245
    • Lutz, E.1
  • 25
    • 34248197886 scopus 로고    scopus 로고
    • Differential evolution algorithms using hybrid mutation
    • DOI 10.1007/s10589-007-9014-3
    • Kaelo P., Ali M. M., Differential evolution algorithms using hybrid mutation Computational Optimization and Applications 2007 37 2 231 246 (Pubitemid 46709794)
    • (2007) Computational Optimization and Applications , vol.37 , Issue.2 , pp. 231-246
    • Kaelo, P.1    Ali, M.M.2


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