메뉴 건너뛰기




Volumn 2, Issue 4, 2005, Pages 239-250

A meshless approach based upon radial basis function hermite collocation method for predicting the cooling and the freezing times of foods

Author keywords

[No Author keywords available]

Indexed keywords

COOLING; FINITE VOLUME METHOD; FOOD PROCESSING; FREEZING; HEAT TRANSFER; NUMERICAL ANALYSIS; ROBUSTNESS (CONTROL SYSTEMS);

EID: 33845664877     PISSN: 15462218     EISSN: None     Source Type: Journal    
DOI: None     Document Type: Article
Times cited : (19)

References (38)
  • 1
    • 33845631002 scopus 로고    scopus 로고
    • Radial basis function and genetic algorithms for parameter identification to some groundwater flow problems
    • Amaziane B.; Naji A. and Ouazar D. (2004): Radial basis function and genetic algorithms for parameter identification to some groundwater flow problems. CMC: Computer Materials and Continua, vol. 1, pp. 117-128.
    • (2004) CMC: Computer Materials and Continua , vol.1 , pp. 117-128
    • Amaziane, B.1    Naji, A.2    Ouazar, D.3
  • 2
    • 0032136132 scopus 로고    scopus 로고
    • New meshless local Petrov-Galerkin (MLPG) approach in computational mechanics
    • Atluri S.N. and Zhu T. (1998): New meshless local Petrov-Galerkin (MLPG) approach in computational mechanics. Comput. Mech., vol. 22, pp. 117-127.
    • (1998) Comput. Mech. , vol.22 , pp. 117-127
    • Atluri, S.N.1    Zhu, T.2
  • 8
    • 0001307703 scopus 로고
    • Domain decomposition and local refinement for multiquadric approximations. I: Second-order equations in one-dimension
    • Dubal M.R. (1994): Domain decomposition and local refinement for multiquadric approximations. I: second-order equations in one-dimension, Journal of Applied Science, vol. 1, pp. 146-171.
    • (1994) Journal of Applied Science , vol.1 , pp. 146-171
    • Dubal, M.R.1
  • 9
    • 0001935440 scopus 로고
    • Spline minimizing rotation - Invariant seminorms in Sobolev spaces
    • Contractive Theory of Functions of Several Variables, eds. W. Schempp and K. Zeller, Springer-Verlag, Berlin
    • Duchon J. (1977): Spline minimizing rotation - invariant seminorms in Sobolev spaces, in Contractive Theory of Functions of Several Variables, Lecture Notes in Mathematics, eds. W. Schempp and K. Zeller, Springer-Verlag, Berlin, 571, 85-100.
    • (1977) Lecture Notes in Mathematics , vol.571 , pp. 85-100
    • Duchon, J.1
  • 10
    • 0002434097 scopus 로고    scopus 로고
    • Solving partial differential equations by collocation with Radial Basis functions
    • Editors: A. Le Méchauté, C. Rabut and L.L. Schumaker, Vanderbilt University Press, Nashville, TN
    • Fasshauer G.E. (1996): Solving partial differential equations by collocation with Radial Basis functions, Proceedings of Chamonix, Editors: A. Le Méchauté, C. Rabut and L.L. Schumaker, 1-8, Vanderbilt University Press, Nashville, TN.
    • (1996) Proceedings of Chamonix , pp. 1-8
    • Fasshauer, G.E.1
  • 11
    • 0002879831 scopus 로고    scopus 로고
    • An efficient numerical scheme for Burgers' equations
    • Hon Y. C. and Mao X. Z. (1998): An efficient numerical scheme for Burgers' equations. Appl. Math. and Comp., vol. 95, pp. 37-50.
    • (1998) Appl. Math. and Comp. , vol.95 , pp. 37-50
    • Hon, Y.C.1    Mao, X.Z.2
  • 12
    • 0342350244 scopus 로고    scopus 로고
    • CFD simulation of heat and moisture transfer for predicting cooling rate and weight loss of cooked ham during air-blast chilling process
    • Hu, Z. and Sun D.W. (2000): CFD simulation of heat and moisture transfer for predicting cooling rate and weight loss of cooked ham during air-blast chilling process. Journal of food Engineering, vol. 46, pp. 189-197.
    • (2000) Journal of Food Engineering , vol.46 , pp. 189-197
    • Hu, Z.1    Sun, D.W.2
  • 14
    • 0025229330 scopus 로고
    • Multiquadrics- A scattered data approximation scheme with applications to computation fluid-dynamics-I: Surface approximations and partial derivatives estimates
    • Kansa E. J. (1990): Multiquadrics- A scattered data approximation scheme with applications to computation fluid-dynamics-I: Surface approximations and partial derivatives estimates. Computers Math. Applic., vol. 19, pp. 127-145.
    • (1990) Computers Math. Applic. , vol.19 , pp. 127-145
    • Kansa, E.J.1
  • 15
    • 0025210711 scopus 로고
    • Multiquadrics- A scattered data approximation scheme with applications to computation fluid-dynamics-II: Solution to parabolic, hyperbolic and elliptic partial differential equations
    • Kansa E.J. (1990): Multiquadrics- A scattered data approximation scheme with applications to computation fluid-dynamics-II: Solution to parabolic, hyperbolic and elliptic partial differential equations. Computers Math. Applic., vol. 19, pp. 147-161.
    • (1990) Computers Math. Applic. , vol.19 , pp. 147-161
    • Kansa, E.J.1
  • 16
    • 0034173976 scopus 로고    scopus 로고
    • Circumventing the ill conditioning problem with multiquadric radial basis functions: Applications to elliptic partial differential equations
    • Kansa E.J. and Hon Y.C. (2000): Circumventing the ill conditioning problem with multiquadric radial basis functions: applications to elliptic partial differential equations. Comput Math Appl, vol. 39, pp. 123-137.
    • (2000) Comput Math Appl , vol.39 , pp. 123-137
    • Kansa, E.J.1    Hon, Y.C.2
  • 18
    • 18244384205 scopus 로고    scopus 로고
    • Radial basis function Hermite collocation approach for the solution of time dependent Convection-Diffusion problems
    • La Rocca A.; Hernandez A. and Power H. (2004): Radial basis function Hermite collocation approach for the solution of time dependent Convection-Diffusion problems. Engineering Analysis and Boundary Elements, vol. 29, pp. 359-370.
    • (2004) Engineering Analysis and Boundary Elements , vol.29 , pp. 359-370
    • La Rocca, A.1    Hernandez, A.2    Power, H.3
  • 20
    • 0037698490 scopus 로고    scopus 로고
    • Some observations on unsymmetric radial basis function collocation methods for convection-diffusion problems
    • Li J. and Chen C.S. (2003): Some observations on unsymmetric radial basis function collocation methods for convection-diffusion problems. International journal for numerical methods in engineering, vol. 57, pp. 1085-1094.
    • (2003) International Journal for Numerical Methods in Engineering , vol.57 , pp. 1085-1094
    • Li, J.1    Chen, C.S.2
  • 21
    • 84966244353 scopus 로고
    • Multivariable interpolation and conditionally positive definite functions
    • Madych W. R. and Nelson S. A. (1990): Multivariable interpolation and conditionally positive definite functions. II Math. Comput., vol. 54, pp. 211-230.
    • (1990) II Math. Comput. , vol.54 , pp. 211-230
    • Madych, W.R.1    Nelson, S.A.2
  • 23
    • 0035885009 scopus 로고    scopus 로고
    • Numerical solution of Navier-Stokes equations using multiquadric radial basis function networks
    • Mai-Duy N. and Tran-Cong T. (2001): Numerical solution of Navier-Stokes equations using multiquadric radial basis function networks. International journal for numerical methods in fluids, vol. 37, pp. 65-86.
    • (2001) International Journal for Numerical Methods in Fluids , vol.37 , pp. 65-86
    • Mai-Duy, N.1    Tran-Cong, T.2
  • 24
    • 0242317239 scopus 로고    scopus 로고
    • Indirect RBFN method with thin plate splines for numerical solution of differential equations
    • Mai-Duy N and Tran-Cong T. (2003): Indirect RBFN method with thin plate splines for numerical solution of differential equations. CMES: Computer Modeling in Engineering and Sciences, vol. 4, pp. 85-102.
    • (2003) CMES: Computer Modeling in Engineering and Sciences , vol.4 , pp. 85-102
    • Mai-Duy, N.1    Tran-Cong, T.2
  • 25
    • 4344636964 scopus 로고    scopus 로고
    • Indirect RBFN method with scattered points for numerical solution of PDEs
    • Mai-Duy N. (2004): Indirect RBFN method with scattered points for numerical solution of PDEs. CMES: Computer Modeling in Engineering and Sciences, vol. 6, pp. 209-226.
    • (2004) CMES: Computer Modeling in Engineering and Sciences , vol.6 , pp. 209-226
    • Mai-Duy, N.1
  • 26
    • 34250122797 scopus 로고
    • Interpolation of scattered data: Distance matrices and conditionally positive definite functions
    • Micchelli C. A. (1986): Interpolation of scattered data: Distance matrices and conditionally positive definite functions. Constr. Approx., vol. 2, pp. 11-22.
    • (1986) Constr. Approx. , vol.2 , pp. 11-22
    • Micchelli, C.A.1
  • 28
    • 21344480607 scopus 로고
    • The uniform convergence of thin plate spline interpolation in two dimensions
    • Powell M. J. D. (1994) The uniform convergence of thin plate spline interpolation in two dimensions. Numerische Mathematik, vol. 68, pp. 107-128.
    • (1994) Numerische Mathematik , vol.68 , pp. 107-128
    • Powell, M.J.D.1
  • 29
    • 0036467964 scopus 로고    scopus 로고
    • A comparison analysis between unsymmetric and symmetric radial basis function collocation methods for the numerical solution of partial differential equations
    • Power H. and Barraco V. (2002) A comparison analysis between unsymmetric and symmetric radial basis function collocation methods for the numerical solution of partial differential equations. Computers and mathematics, vol 43, pp. 551-583.
    • (2002) Computers and Mathematics , vol.43 , pp. 551-583
    • Power, H.1    Barraco, V.2
  • 30
    • 0027148246 scopus 로고
    • The finite-element method in food processing - A review
    • Purl, V. M. and Anantheswaran R. C. (1993): The finite-element method in food processing - A review. Journal of food Engineering, vol. 19, pp. 247-274.
    • (1993) Journal of Food Engineering , vol.19 , pp. 247-274
    • Purl, V.M.1    Anantheswaran, R.C.2
  • 31
    • 0000922795 scopus 로고
    • Multivariate interpolation and approximation by translates of a basis function
    • Charles K. Chui and Larry L. Schumaker (Editors)
    • Schaback R. (1995): Multivariate interpolation and approximation by translates of a basis function, Approximation Theory VIII, Charles K. Chui and Larry L. Schumaker (Editors), pp. 1-8.
    • (1995) Approximation Theory VIII , pp. 1-8
    • Schaback, R.1
  • 32
    • 0037922106 scopus 로고    scopus 로고
    • Convergence order estimates of meshless collocation methods using radial basis functions
    • Schaback R and Franke C. (1998): Convergence order estimates of meshless collocation methods using radial basis functions. Advances Computational Mathematics, vol. 8, pp. 381-399.
    • (1998) Advances Computational Mathematics , vol.8 , pp. 381-399
    • Schaback, R.1    Franke, C.2
  • 33
    • 15544371314 scopus 로고    scopus 로고
    • Computation of incompressible Navier-Stokes equations by local RBF-based differential quadrature method
    • Shu C; Ding H. and Yeo H. S. (2005): Computation of incompressible Navier-Stokes equations by local RBF-based differential quadrature method. CMES: Computer Modeling in Engineering and Sciences, vol. 7, pp. 195-206.
    • (2005) CMES: Computer Modeling in Engineering and Sciences , vol.7 , pp. 195-206
    • Shu, C.1    Ding, H.2    Yeo, H.S.3
  • 34
    • 51649133223 scopus 로고
    • Hermite-Birkhoff interpolation of scattered data by radial basis functions
    • Wu Z. (1992): Hermite-Birkhoff interpolation of scattered data by radial basis functions. Approx. Theory, vol. 8, pp. 1-11.
    • (1992) Approx. Theory , vol.8 , pp. 1-11
    • Wu, Z.1
  • 35
    • 0003359019 scopus 로고    scopus 로고
    • Solving PDE with radial basis function and the error estimation; Advances in Computational Mathematics
    • Editors: Z. Chen, Y. Li, C.A. Micchelli, Y. Xu and M. Dekker, GuangZhou
    • Wu Z. (1998): Solving PDE with radial basis function and the error estimation; Advances in Computational Mathematics, Lecture Notes on Pure and Applied Mathematics, 202, Editors: Z. Chen, Y. Li, C.A. Micchelli, Y. Xu and M. Dekker, GuangZhou.
    • (1998) Lecture Notes on Pure and Applied Mathematics , vol.202
    • Wu, Z.1
  • 36
    • 0036868714 scopus 로고    scopus 로고
    • Development of RBF-DQ method for derivative approximation and its application to simulate natural convection in concentric annuli
    • Wu Y.L. and Shu C. (2002): Development of RBF-DQ method for derivative approximation and its application to simulate natural convection in concentric annuli. Computational Mechanics, vol. 29, pp. 477-485.
    • (2002) Computational Mechanics , vol.29 , pp. 477-485
    • Wu, Y.L.1    Shu, C.2
  • 37
    • 0037212127 scopus 로고    scopus 로고
    • Convergence error estimate in solving free boundary diffusion problem by radial basis functions method
    • Wu Z. and Hon Y.C. (2003): Convergence error estimate in solving free boundary diffusion problem by radial basis functions method. Engineering Analysis with Boundary Elements, vol. 27, pp. 73-79.
    • (2003) Engineering Analysis with Boundary Elements , vol.27 , pp. 73-79
    • Wu, Z.1    Hon, Y.C.2
  • 38
    • 0032529187 scopus 로고    scopus 로고
    • A numerical method for heat transfer problems using collocation and radial basis functions
    • Zerroukat M.; Power H. and Chen C.S. (1998): A numerical method for heat transfer problems using collocation and radial basis functions. Int. J. Numer. Meth. Engng, vol. 42, pp. 1263-1279.
    • (1998) Int. J. Numer. Meth. Engng , vol.42 , pp. 1263-1279
    • Zerroukat, M.1    Power, H.2    Chen, C.S.3


* 이 정보는 Elsevier사의 SCOPUS DB에서 KISTI가 분석하여 추출한 것입니다.