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Volumn 19, Issue 7, 2006, Pages 604-612

Characterizing and minimizing the operator split error for Fisher's equation

Author keywords

Alternating operator split; Fisher's equation; Operator split

Indexed keywords

ERROR ANALYSIS; NONLINEAR EQUATIONS; NUMERICAL ANALYSIS; PROBLEM SOLVING;

EID: 33645397150     PISSN: 08939659     EISSN: None     Source Type: Journal    
DOI: 10.1016/j.aml.2005.08.011     Document Type: Article
Times cited : (17)

References (24)
  • 2
    • 0000110286 scopus 로고
    • On a nonlinear diffusion equation describing population growth
    • J. Canosa On a nonlinear diffusion equation describing population growth IBM J. Res. Dev. 17 4 1973 307 313
    • (1973) IBM J. Res. Dev. , vol.17 , Issue.4 , pp. 307-313
    • Canosa, J.1
  • 3
    • 0000268135 scopus 로고
    • The wave of advance of advantageous genes
    • R.A. Fisher The wave of advance of advantageous genes Ann. Eugenics 7 1937 353 369
    • (1937) Ann. Eugenics , vol.7 , pp. 353-369
    • Fisher, R.A.1
  • 5
    • 0022092815 scopus 로고
    • Some numerical experiments on Fisher equation
    • S.K. Aggarwal Some numerical experiments on Fisher equation Int. Commun. Heat Mass. 12 1985 417 430
    • (1985) Int. Commun. Heat Mass. , vol.12 , pp. 417-430
    • Aggarwal, S.K.1
  • 6
    • 0000896194 scopus 로고
    • k
    • P. Kaliappan An exact solution for travelling waves of u t = D u x x + u - u k Physica D 11 1984 368 374
    • (1984) Physica D , vol.11 , pp. 368-374
    • Kaliappan, P.1
  • 7
    • 0000688482 scopus 로고
    • Numerical solution of Fisher's equation
    • J. Gazdag, and J. Canosa Numerical solution of Fisher's equation J. Appl. Probab. 11 1974 445 457
    • (1974) J. Appl. Probab. , vol.11 , pp. 445-457
    • Gazdag, J.1    Canosa, J.2
  • 8
    • 23744475767 scopus 로고    scopus 로고
    • Diffusive and chemotactic cellular migration: Smooth and discontinuous travelling wave solutions
    • K.A. Landman, M.J. Simpson, J.L. Slater, and D.F. Newgreen Diffusive and chemotactic cellular migration: Smooth and discontinuous travelling wave solutions SIAM J. Appl. Math. 65 4 2005 1420 1442
    • (2005) SIAM J. Appl. Math. , vol.65 , Issue.4 , pp. 1420-1442
    • Landman, K.A.1    Simpson, M.J.2    Slater, J.L.3    Newgreen, D.F.4
  • 9
    • 0008468428 scopus 로고
    • A new numerical scheme for the Fisher equation
    • N. Parekh, and S. Puri A new numerical scheme for the Fisher equation J. Phys. A 23 1990 L1085 L1091
    • (1990) J. Phys. A , vol.23
    • Parekh, N.1    Puri, S.2
  • 10
    • 84966244969 scopus 로고
    • xx+ u (1 - U)
    • E.G. Puckett Convergence of a random particle method to solutions of the Kolmogorov equation u t = ν u x x + u (1 - u ) Math. Comp. 52 1989 615 645
    • (1989) Math. Comp. , vol.52 , pp. 615-645
    • Puckett, E.G.1
  • 11
    • 0013406186 scopus 로고    scopus 로고
    • Intermediate boundary conditions in operator-splitting techniques and linearization methods
    • J.I. Ramos, and C.A. Garcia-López Intermediate boundary conditions in operator-splitting techniques and linearization methods Appl. Math. Comput. 91 1998 113 136
    • (1998) Appl. Math. Comput. , vol.91 , pp. 113-136
    • Ramos, J.I.1    Garcia-López, C.A.2
  • 12
    • 0026474511 scopus 로고
    • Particle-grid methods for reactive flows in porous media with application to Fisher's equation
    • A.F.B. Tompson, and D.E. Dougherty Particle-grid methods for reactive flows in porous media with application to Fisher's equation Appl. Math. Modelling 16 1992 374 383
    • (1992) Appl. Math. Modelling , vol.16 , pp. 374-383
    • Tompson, A.F.B.1    Dougherty, D.E.2
  • 13
    • 1842616207 scopus 로고    scopus 로고
    • Comparison of the discrete singular convolution and three other numerical schemes for solving Fisher's equation
    • S. Zhao, and G.W. Wei Comparison of the discrete singular convolution and three other numerical schemes for solving Fisher's equation SIAM J. Sci. Comput. 25 1 2003 127 147
    • (2003) SIAM J. Sci. Comput. , vol.25 , Issue.1 , pp. 127-147
    • Zhao, S.1    Wei, G.W.2
  • 14
    • 0024785911 scopus 로고
    • Coupling of transport and chemical processes in numerical transport models
    • J. Herzer, and W. Kinzelbach Coupling of transport and chemical processes in numerical transport models Geoderma 44 1989 115 127
    • (1989) Geoderma , vol.44 , pp. 115-127
    • Herzer, J.1    Kinzelbach, W.2
  • 15
    • 0027042913 scopus 로고
    • Accuracy of operator splitting for advection-dispersion-reaction problems
    • A.J. Valocchi, and M. Malmstead Accuracy of operator splitting for advection-dispersion-reaction problems Water Resour. Res. 28 5 1992 1471 1476
    • (1992) Water Resour. Res. , vol.28 , Issue.5 , pp. 1471-1476
    • Valocchi, A.J.1    Malmstead, M.2
  • 18
    • 0029656863 scopus 로고    scopus 로고
    • Temporal discretisation errors in non-iterative split-operator approaches to solving chemical reaction/groundwater transport models
    • D.A. Barry, C.T. Miller, and P.J. Culligan-Hensley Temporal discretisation errors in non-iterative split-operator approaches to solving chemical reaction/groundwater transport models J. Contam. Hydrol. 22 1996 1 17
    • (1996) J. Contam. Hydrol. , vol.22 , pp. 1-17
    • Barry, D.A.1    Miller, C.T.2    Culligan-Hensley, P.J.3
  • 19
    • 0032029460 scopus 로고    scopus 로고
    • Modelling multi-species reactive transport in groundwater aquifers
    • T.P. Clement, Y. Sun, B.S. Hooker, and J.N. Petersen Modelling multi-species reactive transport in groundwater aquifers Ground Water Monit. R. 18 Spring Issue 1998 79 92
    • (1998) Ground Water Monit. R. , vol.18 , pp. 79-92
    • Clement, T.P.1    Sun, Y.2    Hooker, B.S.3    Petersen, J.N.4
  • 20
    • 0029140396 scopus 로고
    • Critical assessment of the operator-splitting technique in solving the advection-dispersion-reaction equation 1: First-order reaction
    • J.J. Kaluarachchi, and J. Morshed Critical assessment of the operator-splitting technique in solving the advection-dispersion-reaction equation 1: First-order reaction Adv. Water Resour. 18 1995 89 100
    • (1995) Adv. Water Resour. , vol.18 , pp. 89-100
    • Kaluarachchi, J.J.1    Morshed, J.2
  • 21
    • 23744513349 scopus 로고    scopus 로고
    • Assessment of a non-traditional operator split algorithm for simulation of reactive transport
    • M.J. Simpson, K.A. Landman, and T.P. Clement Assessment of a non-traditional operator split algorithm for simulation of reactive transport Math. Comput. Simulation 70 1 2005 44 60
    • (2005) Math. Comput. Simulation , vol.70 , Issue.1 , pp. 44-60
    • Simpson, M.J.1    Landman, K.A.2    Clement, T.P.3
  • 22
    • 0001518684 scopus 로고
    • On the construction and comparison of difference schemes
    • G. Strang On the construction and comparison of difference schemes SIAM J. Numer. Anal. 5 3 1968 506 517
    • (1968) SIAM J. Numer. Anal. , vol.5 , Issue.3 , pp. 506-517
    • Strang, G.1
  • 23
    • 1842734917 scopus 로고    scopus 로고
    • A split operator approach to reactive transport with the forward particle tracking Eulerian Lagrangian localized adjoint method
    • L.S.J. Bell, and P.J. Binning A split operator approach to reactive transport with the forward particle tracking Eulerian Lagrangian localized adjoint method Adv. Water Resour. 27 2004 323 334
    • (2004) Adv. Water Resour. , vol.27 , pp. 323-334
    • Bell, L.S.J.1    Binning, P.J.2


* 이 정보는 Elsevier사의 SCOPUS DB에서 KISTI가 분석하여 추출한 것입니다.