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Volumn 202, Issue 2, 2008, Pages 708-714

The solution of a parabolic differential equation with non-local boundary conditions in the reproducing kernel space

Author keywords

Non local boundary condition; Parabolic differential equation; Reproducing kernel

Indexed keywords

BESSEL FUNCTIONS; BOUNDARY VALUE PROBLEMS; DIFFERENCE EQUATIONS; DIFFERENTIAL EQUATIONS; DIFFERENTIATION (CALCULUS); EXTRAPOLATION; FISH; INTEGRAL EQUATIONS; LINEAR EQUATIONS; MATHEMATICAL TECHNIQUES; MATHEMATICAL TRANSFORMATIONS; PARTIAL DIFFERENTIAL EQUATIONS; THEOREM PROVING;

EID: 48049105310     PISSN: 00963003     EISSN: None     Source Type: Journal    
DOI: 10.1016/j.amc.2008.03.008     Document Type: Article
Times cited : (18)

References (14)
  • 1
    • 0025545369 scopus 로고
    • An implicit finite difference scheme for the diffusion equation subject to mass specification
    • Cannon J.R., Lin Y., and Wang S. An implicit finite difference scheme for the diffusion equation subject to mass specification. International Journal of Engineering Science 28 7 (1990) 573-578
    • (1990) International Journal of Engineering Science , vol.28 , Issue.7 , pp. 573-578
    • Cannon, J.R.1    Lin, Y.2    Wang, S.3
  • 2
    • 0038373225 scopus 로고    scopus 로고
    • Numerical solution of a parabolic equation with non-local boundary specifications
    • Dehghan M. Numerical solution of a parabolic equation with non-local boundary specifications. Applied Mathematics and Computation 145 (2003) 185-194
    • (2003) Applied Mathematics and Computation , vol.145 , pp. 185-194
    • Dehghan, M.1
  • 3
    • 4444222587 scopus 로고    scopus 로고
    • Application of the Adomian decomposition method for two-dimensional parabolic equation subject to nonstandard boundary specifications
    • Dehghan M. Application of the Adomian decomposition method for two-dimensional parabolic equation subject to nonstandard boundary specifications. Applied Mathematics and Computation 157 (2004) 549-560
    • (2004) Applied Mathematics and Computation , vol.157 , pp. 549-560
    • Dehghan, M.1
  • 4
    • 9544239366 scopus 로고    scopus 로고
    • Efficient techniques for the second-order parabolic equation subject to nonlocal specifications
    • Dehghan M. Efficient techniques for the second-order parabolic equation subject to nonlocal specifications. Applied Numerical Mathematics 52 (2005) 39-62
    • (2005) Applied Numerical Mathematics , vol.52 , pp. 39-62
    • Dehghan, M.1
  • 5
    • 33749559910 scopus 로고    scopus 로고
    • The one-dimensional heat equation subject to a boundary integral specification
    • Dehghan M. The one-dimensional heat equation subject to a boundary integral specification. Chaos, Solitons and Fractals 32 2 (2007) 661-675
    • (2007) Chaos, Solitons and Fractals , vol.32 , Issue.2 , pp. 661-675
    • Dehghan, M.1
  • 6
    • 33645276878 scopus 로고    scopus 로고
    • A computational study of the one-dimensional parabolic equation subject to nonclassical boundary specifications
    • Dehghan M. A computational study of the one-dimensional parabolic equation subject to nonclassical boundary specifications. Numerical Methods for Partial Differential Equations 22 1 (2006) 220-257
    • (2006) Numerical Methods for Partial Differential Equations , vol.22 , Issue.1 , pp. 220-257
    • Dehghan, M.1
  • 7
    • 11144275388 scopus 로고    scopus 로고
    • On the solution of an initial-boundary value problem that combines Neumann and integral condition for the wave equation
    • Dehghan M. On the solution of an initial-boundary value problem that combines Neumann and integral condition for the wave equation. Numerical Methods for Partial Differential Equations 21 1 (2005) 24-40
    • (2005) Numerical Methods for Partial Differential Equations , vol.21 , Issue.1 , pp. 24-40
    • Dehghan, M.1
  • 8
    • 19744375661 scopus 로고    scopus 로고
    • Parameter determination in a partial differential equation from the overspecified data
    • Dehghan M. Parameter determination in a partial differential equation from the overspecified data. Mathematical and Computer Modelling 41 2-3 (2005) 196-213
    • (2005) Mathematical and Computer Modelling , vol.41 , Issue.2-3 , pp. 196-213
    • Dehghan, M.1
  • 9
    • 0347380841 scopus 로고    scopus 로고
    • Numerical solution of a parabolic equation subject to specification of energy
    • Dehghan M. Numerical solution of a parabolic equation subject to specification of energy. Applied Mathematics and Computation 149 1 (2004) 31-45
    • (2004) Applied Mathematics and Computation , vol.149 , Issue.1 , pp. 31-45
    • Dehghan, M.1
  • 10
    • 0037279705 scopus 로고    scopus 로고
    • Numerical solution of a non-local boundary value problem with Neumann's boundary conditions
    • Dehghan M. Numerical solution of a non-local boundary value problem with Neumann's boundary conditions. Communications in Numerical Methods in Engineering 19 1 (2003) 1-12
    • (2003) Communications in Numerical Methods in Engineering , vol.19 , Issue.1 , pp. 1-12
    • Dehghan, M.1
  • 11
    • 43249095466 scopus 로고    scopus 로고
    • Use of radial basis functions for solving the second-order parabolic equation with nonlocal boundary conditions
    • Dehghan M., and Tatari M. Use of radial basis functions for solving the second-order parabolic equation with nonlocal boundary conditions. Numerical Methods for Partial Differential Equations 24 3 (2008) 924-938
    • (2008) Numerical Methods for Partial Differential Equations , vol.24 , Issue.3 , pp. 924-938
    • Dehghan, M.1    Tatari, M.2
  • 12
    • 26844477077 scopus 로고    scopus 로고
    • Amplitude-shape method for the numerical solution of ordinary differential equations
    • Parumasur N., and Mika J.R. Amplitude-shape method for the numerical solution of ordinary differential equations. Quaestiones Mathematicae 24 (2001) 69-78
    • (2001) Quaestiones Mathematicae , vol.24 , pp. 69-78
    • Parumasur, N.1    Mika, J.R.2
  • 14
    • 0037845043 scopus 로고    scopus 로고
    • The exact solution for solving a class nonlinear operator equation in reproducing kernel space
    • Li C.-L., and Cui M.-G. The exact solution for solving a class nonlinear operator equation in reproducing kernel space. Applied Mathematics and Computation 143 2-3 (2003) 393-399
    • (2003) Applied Mathematics and Computation , vol.143 , Issue.2-3 , pp. 393-399
    • Li, C.-L.1    Cui, M.-G.2


* 이 정보는 Elsevier사의 SCOPUS DB에서 KISTI가 분석하여 추출한 것입니다.