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Volumn 182, Issue 1, 2005, Pages 173-187

A family of variable mesh methods for the estimates of (du/dr) and solution of non-linear two point boundary value problems with singularity

Author keywords

Burgers' equation; Difference method; Diffusion convection equation; Nonlinear equation; RMS errors; Singular equation; Variable mesh

Indexed keywords

ALGORITHMS; APPROXIMATION THEORY; BOUNDARY CONDITIONS; CONVERGENCE OF NUMERICAL METHODS; DIFFERENTIAL EQUATIONS; FINITE DIFFERENCE METHOD; FUNCTION EVALUATION; NONLINEAR EQUATIONS;

EID: 19644383361     PISSN: 03770427     EISSN: None     Source Type: Journal    
DOI: 10.1016/j.cam.2004.11.045     Document Type: Article
Times cited : (53)

References (10)
  • 1
    • 2342505312 scopus 로고    scopus 로고
    • Application of a Mickens finite-difference scheme to the cylindrical Bratu-Gelfand problem
    • R. Buckmire Application of a Mickens finite-difference scheme to the cylindrical Bratu-Gelfand problem Numer. Methods Partial Differential Equations 20 2004 327-337
    • (2004) Numer. Methods Partial Differential Equations , vol.20 , pp. 327-337
    • Buckmire, R.1
  • 2
    • 0039385535 scopus 로고
    • A fourth order tri-diagonal finite difference method for general non-linear two point boundary value problems with mixed boundary conditions
    • M.M. Chawla A fourth order tri-diagonal finite difference method for general non-linear two point boundary value problems with mixed boundary conditions J. Inst. Math. Appl. 21 1978 83-93
    • (1978) J. Inst. Math. Appl. , vol.21 , pp. 83-93
    • Chawla, M.M.1
  • 3
    • 77958399885 scopus 로고
    • A sixth order tri-diagonal finite difference method for general non-linear two point boundary value problems
    • M.M. Chawla A sixth order tri-diagonal finite difference method for general non-linear two point boundary value problems J. Inst. Math. Appl. 24 1979 35-42
    • (1979) J. Inst. Math. Appl. , vol.24 , pp. 35-42
    • Chawla, M.M.1
  • 6
    • 0021389790 scopus 로고
    • Variable mesh methods for the numerical solution of two point singular perturbation problems
    • M.K. Jain S.R.K. Iyengar G.S. Subramanyam Variable mesh methods for the numerical solution of two point singular perturbation problems Comput. Methods Appl. Mech. Eng. 42 1984 273-286
    • (1984) Comput. Methods Appl. Mech. Eng. , vol.42 , pp. 273-286
    • Jain, M.K.1    Iyengar, S.R.K.2    Subramanyam, G.S.3
  • 8
    • 19644378773 scopus 로고    scopus 로고
    • Three points discretization of order four and six for (du/dx) of the solution of non-linear singular two point boundary value problems
    • R.K. Mohanty D.J. Evans S. Dey Three points discretization of order four and six for (du/dx) of the solution of non-linear singular two point boundary value problems Internat. J. Comput. Math. 78 2001 123-139
    • (2001) Internat. J. Comput. Math. , vol.78 , pp. 123-139
    • Mohanty, R.K.1    Evans, D.J.2    Dey, S.3
  • 9
    • 0000049173 scopus 로고
    • Single cell discretization of order two and four for biharmonic problems
    • J.W. Stephenson Single cell discretization of order two and four for biharmonic problems J. Comput. Phys. 55 1984 65-80
    • (1984) J. Comput. Phys. , vol.55 , pp. 65-80
    • Stephenson, J.W.1


* 이 정보는 Elsevier사의 SCOPUS DB에서 KISTI가 분석하여 추출한 것입니다.