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Volumn 9, Issue 5, 2010, Pages 1044-1048

An agei method for solving four-order diffusion equations

Author keywords

Diffusion equation; Finite difference; Iterative method; Parallel computation alternating group; Unconditionally stable

Indexed keywords

BOUNDARY CONDITIONS; DIFFERENCE EQUATIONS; DIFFUSION; FINITE DIFFERENCE METHOD; NUMERICAL METHODS; PARTIAL DIFFERENTIAL EQUATIONS;

EID: 77953052200     PISSN: 18125638     EISSN: 18125646     Source Type: Journal    
DOI: 10.3923/itj.2010.1044.1048     Document Type: Article
Times cited : (1)

References (15)
  • 1
    • 77953041306 scopus 로고    scopus 로고
    • AGEI method for diffusion equation
    • Bin, Z. and F.Q. Hua, 2009. AGEI method for diffusion equation. Proc. World Cong. Eng., 2: 1143-1146.
    • (2009) Proc. World Cong. Eng. , vol.2 , pp. 1143-1146
    • Bin, Z.1    Hua, F.Q.2
  • 3
    • 84968509391 scopus 로고
    • Explicit/implicit conservative Galerkin domain decomposition procedures for parabolic problems
    • Dawson, C.N. and T.F. Dupont, 1992. Explicit/implicit conservative Galerkin domain decomposition procedures for parabolic problems. Math. Comput., 58: 21-34.
    • (1992) Math. Comput. , vol.58 , pp. 21-34
    • Dawson, C.N.1    Dupont, T.F.2
  • 4
    • 0020811547 scopus 로고
    • Group explicit methods for parabolic equations
    • Evans. D.J. and A.R.B., Abdullah, 1983a. Group explicit methods for parabolic equations. Int. J. Comput. Math., 14: 73-105.
    • (1983) Int. J. Comput. Math. , vol.14 , pp. 73-105
    • Evans, D.J.1    Abdullah, A.R.B.2
  • 6
    • 0022084149 scopus 로고
    • Alternating group explicit method for the diffusion equation
    • Evans, D.J., 1985. Alternating group explicit method for the diffusion equation. Appl. Math. Modell., 9: 201-206.
    • (1985) Appl. Math. Modell. , vol.9 , pp. 201-206
    • Evans, D.J.1
  • 7
    • 0041623700 scopus 로고
    • The alternating group explicit (AGE) iterative method for solving parabolic equations I: 2-dimensional problems
    • Evans. D.J. and M.S. Sahimi, 1988. The alternating group explicit (AGE) iterative method for solving parabolic equations I: 2-dimensional problems. Int. J. Comput. Math., 24: 311-341.
    • (1988) Int. J. Comput. Math. , vol.24 , pp. 311-341
    • Evans, D.J.1    Sahimi, M.S.2
  • 8
    • 28244495062 scopus 로고    scopus 로고
    • The numerical solution of the telegraph equation by the alternating group explicit(AGE) method
    • Evans. D.J. and B. Hasan, 2003. The numerical solution of the telegraph equation by the alternating group explicit(AGE) method. Int. J. Comput. Math., 80: 1289-1297.
    • (2003) Int. J. Comput. Math. , vol.80 , pp. 1289-1297
    • Evans, D.J.1    Hasan, B.2
  • 9
    • 77953079436 scopus 로고    scopus 로고
    • An alternating group explicit iterative method for solving four-order parabolic equations
    • Feng, Q.H., 2008. An alternating group explicit iterative method for solving four-order parabolic equations. Applied Math. Sci., 2: 2591-2595.
    • (2008) Applied Math. Sci. , vol.2 , pp. 2591-2595
    • Feng, Q.H.1
  • 10
    • 0037429585 scopus 로고    scopus 로고
    • An unconditionally stable parallel difference scheme for parabolic equations
    • Gao. J. and G. He, 2003. An unconditionally stable parallel difference scheme for parabolic equations. Applied Math. Comput., 135: 391-398.
    • (2003) Applied Math. Comput. , vol.135 , pp. 391-398
    • Gao, J.1    He, G.2
  • 11
    • 77649228722 scopus 로고    scopus 로고
    • New finite difference domain decomposition algorithms for two-dimensional heat equation
    • Jin, Y., L. Zhao, J. Li and T. Ma, 2010. New finite difference domain decomposition algorithms for two-dimensional heat equation. Inform. Technol. J., 9: 704-709.
    • (2010) Inform. Technol. J. , vol.9 , pp. 704-709
    • Jin, Y.1    Zhao, L.2    Li, J.3    Ma, T.4
  • 12
    • 0031949872 scopus 로고    scopus 로고
    • Modified AGE methods for the convection-diffusion equation
    • Jinfu, L., Z. Baolin and Z. Fengh, 1998. Modified AGE methods for the convection-diffusion equation. Commun. Numerical Methods Eng., 14: 65-75.
    • (1998) Commun. Numerical Methods Eng. , vol.14 , pp. 65-75
    • Jinfu, L.1    Baolin, Z.2    Fengh, Z.3
  • 13
    • 0035500921 scopus 로고    scopus 로고
    • The D'Yakonov fully explicit variant of the iterative decomposition method
    • Sahimi, M.S., E. Sundarajan and M. Subramaniam, 2001. The D'Yakonov fully explicit variant of the iterative decomposition method. Comput. Math. Applied, 42: 1485-1496.
    • (2001) Comput. Math. Applied , vol.42 , pp. 1485-1496
    • Sahimi, M.S.1    Sundarajan, E.2    Subramaniam, M.3
  • 14
    • 0040927496 scopus 로고    scopus 로고
    • Unconditional stability of parallel alternating difference schemes for semilinear parabolic systems
    • Yuan, G.W., L.J. Shen and Y.L. Zhou, 2001. Unconditional stability of parallel alternating difference schemes for semilinear parabolic systems. Applied Math. Comput., 117: 267-283.
    • (2001) Applied Math. Comput. , vol.117 , pp. 267-283
    • Yuan, G.W.1    Shen, L.J.2    Zhou, Y.L.3
  • 15
    • 85011384289 scopus 로고    scopus 로고
    • Convergence and stability of explicit/implicit schemes for parabolic equations with discontinuous coefficients
    • Zhu, S., G. Yuan and W. Sun, 2004. Convergence and stability of explicit/implicit schemes for parabolic equations with discontinuous coefficients. Int. J. Numer. Anal. Model, 1: 131-145.
    • (2004) Int. J. Numer. Anal. Model , vol.1 , pp. 131-145
    • Zhu, S.1    Yuan, G.2    Sun, W.3


* 이 정보는 Elsevier사의 SCOPUS DB에서 KISTI가 분석하여 추출한 것입니다.