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Volumn 7, Issue 4, 2006, Pages 461-466

Implicit collocation technique for heat equation with non-classic initial condition

Author keywords

Collocation Techniques; Finite Difference Schemes; Non Standard Initial Condition; Nonlocal Time Weighting Initial Condition

Indexed keywords


EID: 33748938323     PISSN: 15651339     EISSN: None     Source Type: Journal    
DOI: 10.1515/IJNSNS.2006.7.4.461     Document Type: Article
Times cited : (60)

References (21)
  • 1
    • 0141939947 scopus 로고
    • Strong maximum principle for parabolic nonlinear problems with nonlocal inequalities together with arbitrary functional
    • L. Bysezewski: Strong maximum principle for parabolic nonlinear problems with nonlocal inequalities together with arbitrary functional, J. Math. Anal. Appl., 156, 457-470, (1991).
    • (1991) J. Math. Anal. Appl. , vol.156 , pp. 457-470
    • Bysezewski, L.1
  • 2
    • 44049118778 scopus 로고
    • Uniqueness of solutions of parabolic semilinear nonlinear boundary problems
    • L. Bysezewski : Uniqueness of solutions of parabolic semilinear nonlinear boundary problems, J. Math. Anal. Appl., 165, 427-478, (1992).
    • (1992) J. Math. Anal. Appl. , vol.165 , pp. 427-478
    • Bysezewski, L.1
  • 3
    • 84984049129 scopus 로고
    • Strong maximum and minimum principles for parabolic problems with nonlocal inequalities
    • L. Bysezewski: Strong maximum and minimum principles for parabolic problems with nonlocal inequalities, Z. Angew. Math. Mech., 70, 202-206, (1990).
    • (1990) Z. Angew. Math. Mech. , vol.70 , pp. 202-206
    • Bysezewski, L.1
  • 4
    • 84948514180 scopus 로고
    • Theorem about the existence and uniqueness of a solution of a nonlocal abstract Cauchy problem in a Banach space
    • L. Bysezewski and V. Lakshmikantham: Theorem about the existence and uniqueness of a solution of a nonlocal abstract Cauchy problem in a Banach space, Appl. Anal., 40, 11-19, (1990).
    • (1990) Appl. Anal. , vol.40 , pp. 11-19
    • Bysezewski, L.1    Lakshmikantham, V.2
  • 5
    • 0003311898 scopus 로고
    • The one-dimensional heat equation
    • Addison-Wesley, Publishing, Menlo Park, CA
    • J. R. Cannon: The one-dimensional heat equation, Encyclopedia of Mathematics and its Applications, 23, Addison-Wesley, Publishing, Menlo Park, CA (1984).
    • (1984) Encyclopedia of Mathematics and Its Applications , vol.23
    • Cannon, J.R.1
  • 6
    • 0141939946 scopus 로고
    • On the non-local problem with a functional for parabolic equation
    • J. Chabrowski: On the non-local problem with a functional for parabolic equation, Funkcial. Ekvac., 27, 101-123, (1984).
    • (1984) Funkcial. Ekvac. , vol.27 , pp. 101-123
    • Chabrowski, J.1
  • 7
    • 84972498377 scopus 로고
    • On non-local problems for parabolic equations
    • J. Chabrowski: On non-local problems for parabolic equations, Nagoya Math. J., 93, 109-131, (1984).
    • (1984) Nagoya Math. J. , vol.93 , pp. 109-131
    • Chabrowski, J.1
  • 8
    • 84988172922 scopus 로고
    • Determination of an unknown function in a parabolic equation with an overspecified condition
    • J. Chadam and H-M. Yin: Determination of an unknown function in a parabolic equation with an overspecified condition, Math. Meth. Appl. Sci., 13, 421-430, (1990).
    • (1990) Math. Meth. Appl. Sci. , vol.13 , pp. 421-430
    • Chadam, J.1    Yin, H.-M.2
  • 9
    • 9544239366 scopus 로고    scopus 로고
    • Efficient techniques for the second-order parabolic equation subject to nonlocal specifications
    • M. Dehghan: Efficient techniques for the second-order parabolic equation subject to nonlocal specifications, Appl. Numer. Math. 52, 39-62 (2005).
    • (2005) Appl. Numer. Math. , vol.52 , pp. 39-62
    • Dehghan, M.1
  • 10
    • 11144275388 scopus 로고    scopus 로고
    • On the solution of an initial-boundary value problem that combines Neumann and integral condition for the wave equation
    • M. Dehghan: On the solution of an initial-boundary value problem that combines Neumann and integral condition for the wave equation, Numer. Methods Partial Differ. Equations 21, 24-40 (2005).
    • (2005) Numer. Methods Partial Differ. Equations , vol.21 , pp. 24-40
    • Dehghan, M.1
  • 11
    • 0141892672 scopus 로고    scopus 로고
    • Numerical schemes for one-dimensional parabolic equations with nonstandard initial condition
    • M. Dehghan: Numerical schemes for one-dimensional parabolic equations with nonstandard initial condition, Appl. Math. Comput. 147, 321-331 (2004).
    • (2004) Appl. Math. Comput. , vol.147 , pp. 321-331
    • Dehghan, M.1
  • 12
    • 24944574717 scopus 로고    scopus 로고
    • The solution of a nonclassic problem for one-dimensional hyperbolic equation using the decomposition procedure
    • M. Dehghan: The solution of a nonclassic problem for one-dimensional hyperbolic equation using the decomposition procedure, Int. J. Comput. Math. 81, 979-989 (2004).
    • (2004) Int. J. Comput. Math. , vol.81 , pp. 979-989
    • Dehghan, M.1
  • 13
    • 0347596564 scopus 로고    scopus 로고
    • On the numerical solution of the diffusion equation with a nonlocal boundary condition
    • M. Dehghan: On the numerical solution of the diffusion equation with a nonlocal boundary condition, Math. Probl. Eng., 2003, No.2, 81-92 (2003).
    • (2003) Math. Probl. Eng. , Issue.2 , pp. 81-92
    • Dehghan, M.1
  • 14
    • 0038373225 scopus 로고    scopus 로고
    • Numerical solution of a parabolic equation with non-local boundary specifications
    • M. Dehghan: Numerical solution of a parabolic equation with non-local boundary specifications, Appl. Math. Comput., 145, 185-194 (2003).
    • (2003) Appl. Math. Comput. , vol.145 , pp. 185-194
    • Dehghan, M.1
  • 15
    • 0000092673 scopus 로고    scopus 로고
    • Variational iteration method a kind of nonlinear analytical technique, some examples
    • J. H. He, Variational iteration method a kind of nonlinear analytical technique, some examples, Int. J. Nonlin. Mech., 34(1999) 699-708.
    • (1999) Int. J. Nonlin. Mech. , vol.34 , pp. 699-708
    • He, J.H.1
  • 16
    • 33645972898 scopus 로고    scopus 로고
    • Some asymptotic methods for strongly nonlinear equations
    • J. H. He, Some Asymptotic Methods for Strongly Nonlinear Equations, International Journal of Modern Physics B, 20(10) (2006) 1141-1199.
    • (2006) International Journal of Modern Physics B , vol.20 , Issue.10 , pp. 1141-1199
    • He, J.H.1
  • 17
    • 0033196950 scopus 로고    scopus 로고
    • A validated parallel across time and space solution of the heat equation
    • F. Jezequel: A validated parallel across time and space solution of the heat equation, Appl. Numer. Math., 31, 65-79, (1999).
    • (1999) Appl. Numer. Math. , vol.31 , pp. 65-79
    • Jezequel, F.1
  • 18
    • 0034916588 scopus 로고    scopus 로고
    • Parallel implementation of a high-order implicit collocation method for the heat equation
    • J. Kouatchou: Parallel implementation of a high-order implicit collocation method for the heat equation, Math. Comput. Simul., 54(6) (2001), 509-519.
    • (2001) Math. Comput. Simul. , vol.54 , Issue.6 , pp. 509-519
    • Kouatchou, J.1
  • 19
    • 0011911815 scopus 로고    scopus 로고
    • Finite differences and collocation methods for the solution of the two dimensional heat equation
    • J. Kouatchou: Finite differences and collocation methods for the solution of the two dimensional heat equation, Num. Methods Partial Differential Eq., 17, 54-63(2001).
    • (2001) Num. Methods Partial Differential Eq. , vol.17 , pp. 54-63
    • Kouatchou, J.1
  • 20
    • 21844490240 scopus 로고
    • Analytical solutions for a class of nonlocal nonlinear parabolic differential equations
    • Y. Lin Analytical solutions for a class of nonlocal nonlinear parabolic differential equations, Siam. J. Math. Anal., 25, 1577-1594, (1994).
    • (1994) Siam. J. Math. Anal. , vol.25 , pp. 1577-1594
    • Lin, Y.1


* 이 정보는 Elsevier사의 SCOPUS DB에서 KISTI가 분석하여 추출한 것입니다.