메뉴 건너뛰기




Volumn 18, Issue 2, 2002, Pages 193-202

Numerical solution of the three-dimensional parabolic equation with an integral condition

Author keywords

Finite difference techniques; Integral condition; Numerical integration procedure; Parabolic partial differential equations; Three dimensional diffusion

Indexed keywords


EID: 0036495685     PISSN: 0749159X     EISSN: None     Source Type: Journal    
DOI: 10.1002/num.1040     Document Type: Article
Times cited : (16)

References (17)
  • 1
    • 84948498782 scopus 로고
    • The solution of the diffusion equation in two-space variables subject to the specification of mass
    • J. R. Cannon, Y. Lin, and A. L. Matheson, The solution of the diffusion equation in two-space variables subject to the specification of mass, Appl Anal, 50 (1993), 1-19.
    • (1993) Appl Anal , vol.50 , pp. 1-19
    • Cannon, J.R.1    Lin, Y.2    Matheson, A.L.3
  • 2
    • 0022709536 scopus 로고
    • Diffusion subject to specification of mass
    • J. R. Cannon and J. van der Hoek, Diffusion subject to specification of mass. J Math Anal Appl, 115 (1986), 517-529.
    • (1986) J Math Anal Appl , vol.115 , pp. 517-529
    • Cannon, J.R.1    Van Der Hoek, J.2
  • 3
    • 0001073548 scopus 로고
    • The solution of the heat equation subject to the specification of energy
    • J. R. Cannon, The solution of the heat equation subject to the specification of energy. Quart. Appl. Math, 21 (1963), 155-160.
    • (1963) Quart. Appl. Math , vol.21 , pp. 155-160
    • Cannon, J.R.1
  • 4
    • 0346220062 scopus 로고
    • The one phase Stefan problem subject to the specification of energy
    • J. R. Cannon and J. van der Hoek, The one phase Stefan problem subject to the specification of energy, J Math Anal Appl, 86 (1982), 281-291.
    • (1982) J Math Anal Appl , vol.86 , pp. 281-291
    • Cannon, J.R.1    Van Der Hoek, J.2
  • 5
    • 0003311898 scopus 로고
    • The one dimensional heat equation
    • Addison-Welsey, Menlo Park, California
    • J. R. Cannon, The one dimensional heat equation, Encyclopedia of Mathematics and its Applications, Vol. 23, Addison-Welsey, Menlo Park, California, 1984.
    • (1984) Encyclopedia of Mathematics and its Applications , vol.23
    • Cannon, J.R.1
  • 6
    • 0001295415 scopus 로고
    • A reaction-diffusion system arising in modeling man-environment diseases
    • V. Capsso and K. Kunisch, A reaction-diffusion system arising in modeling man-environment diseases, Quart Appl Math, 46 (1988), 431-449.
    • (1988) Quart Appl Math , vol.46 , pp. 431-449
    • Capsso, V.1    Kunisch, K.2
  • 7
    • 0000355020 scopus 로고
    • Existence of a property of solutions of the heat equation subject to linear thermoelasticity and other theories
    • W. A. Day, Existence of a property of solutions of the heat equation subject to linear thermoelasticity and other theories, Quart Appl Math, 40 (1982), 319-330.
    • (1982) Quart Appl Math , vol.40 , pp. 319-330
    • Day, W.A.1
  • 8
    • 0001683045 scopus 로고
    • The reformulation and numerical solution of certain non-classical initial-boundary value problems
    • G. Fairweather and R. D. Saylor, The reformulation and numerical solution of certain non-classical initial-boundary value problems, SIAM J Sci Stat Comp, 12(1) (1991), 127-144.
    • (1991) SIAM J Sci Stat Comp , vol.12 , Issue.1 , pp. 127-144
    • Fairweather, G.1    Saylor, R.D.2
  • 9
    • 0000246858 scopus 로고
    • Monotonic decay of solutions of parabolic equation with nonlocal boudary conditions
    • A. Friedman, Monotonic decay of solutions of parabolic equation with nonlocal boudary conditions, Quart Appl Math, 44 (1986), 401-407.
    • (1986) Quart Appl Math , vol.44 , pp. 401-407
    • Friedman, A.1
  • 11
    • 0000882953 scopus 로고
    • Remark on a paper by D. A. Day on a maximum principle under nonlocal boundary conditions
    • B. Kawohl, Remark on a paper by D. A. Day on a maximum principle under nonlocal boundary conditions, Quart Appl Math, 49 (1987), 751-752.
    • (1987) Quart Appl Math , vol.49 , pp. 751-752
    • Kawohl, B.1
  • 13
    • 0025068163 scopus 로고
    • A numerical method for the diffusion equation with nonlocal boundary specifications
    • S. Wang and Y. Lin, A numerical method for the diffusion equation with nonlocal boundary specifications, Intern J Eng Sci, 28 (1990), 543-546.
    • (1990) Intern J Eng Sci , vol.28 , pp. 543-546
    • Wang, S.1    Lin, Y.2
  • 14
    • 0003017084 scopus 로고
    • A finite difference solution to an inverse problem determining a control function in a parabolic partial differential equation
    • S. Wang and Y. Lin, A finite difference solution to an inverse problem determining a control function in a parabolic partial differential equation, Inverse Probl, 5 (1989), 631-640.
    • (1989) Inverse Probl , vol.5 , pp. 631-640
    • Wang, S.1    Lin, Y.2
  • 15
    • 49549156305 scopus 로고
    • The modified equation approach to the stability and accuracy analysis of finite-difference methods
    • R. F. Warming and B. J. Hyett, The modified equation approach to the stability and accuracy analysis of finite-difference methods, J Comput Phys, 14 (2) (1974), 159-179.
    • (1974) J Comput Phys , vol.14 , Issue.2 , pp. 159-179
    • Warming, R.F.1    Hyett, B.J.2
  • 16
    • 0032644351 scopus 로고    scopus 로고
    • Fully implicit finite difference methods for two-dimensional diffusion with a non-local boundary condition
    • M. Dehghan, Fully implicit finite difference methods for two-dimensional diffusion with a non-local boundary condition, Journal of Computational and Applied Mathematics, 106, (1999) 255-269.
    • (1999) Journal of Computational and Applied Mathematics , vol.106 , pp. 255-269
    • Dehghan, M.1
  • 17
    • 0033744321 scopus 로고    scopus 로고
    • A finite difference method for a non-local boundary value problem for two-dimensional heat equation
    • M. Dehghan, A finite difference method for a non-local boundary value problem for two-dimensional heat equation, Applied Mathematics and Computation, 112, (2000), 133-142.
    • (2000) Applied Mathematics and Computation , vol.112 , pp. 133-142
    • Dehghan, M.1


* 이 정보는 Elsevier사의 SCOPUS DB에서 KISTI가 분석하여 추출한 것입니다.