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Volumn 114, Issue 2, 2000, Pages 275-290

A fourth-order finite difference method for the general one-dimensional nonlinear biharmonic problems of first kind

Author keywords

Finite difference method; G.1.7; Maximum absolute error* Root mean square error; NBSOR method; Nonlinear biharmonic equation* Polar coordinate

Indexed keywords

BOUNDARY CONDITIONS; CONVERGENCE OF NUMERICAL METHODS; ERROR ANALYSIS; NONLINEAR EQUATIONS;

EID: 0033905736     PISSN: 03770427     EISSN: None     Source Type: Journal    
DOI: 10.1016/S0377-0427(99)00202-2     Document Type: Article
Times cited : (26)

References (12)
  • 1
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    • Iterative methods for a fourth-order boundary value problem
    • Agarwal R.P., Chow Y.M. Iterative methods for a fourth-order boundary value problem. J. Comput. Appl. Math. 10:1984;203-217.
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    • Agarwal, R.P.1    Chow, Y.M.2
  • 2
    • 0039385535 scopus 로고
    • A fourth-order tridiagonal finite difference method for general non-linear two point boundary value problems with mixed boundary conditions
    • Chawla M.M. A fourth-order tridiagonal 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 tridiagonal finite difference method for general non-linear two point boundary value problems
    • Chawla M.M. A sixth order tridiagonal 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
  • 4
    • 0001688267 scopus 로고    scopus 로고
    • Block iterative methods for the numerical solution of 2-D nonlinear biharmonic equations
    • Evans D.J., Mohanty R.K. Block iterative methods for the numerical solution of 2-D nonlinear biharmonic equations. Int. J. Comput. Math. 69:1998;371-389.
    • (1998) Int. J. Comput. Math. , vol.69 , pp. 371-389
    • Evans, D.J.1    Mohanty, R.K.2
  • 8
    • 0000090138 scopus 로고    scopus 로고
    • Block iterative methods for one dimensional nonlinear biharmonic problems on a parallel computer
    • Mohanty R.K., Evans D.J. Block iterative methods for one dimensional nonlinear biharmonic problems on a parallel computer. J. Parallel Algorithm Appl. 13:1999;239-263.
    • (1999) J. Parallel Algorithm Appl. , vol.13 , pp. 239-263
    • Mohanty, R.K.1    Evans, D.J.2
  • 9
    • 0039977751 scopus 로고    scopus 로고
    • New Algorithms for the Numerical Solution of One Dimensional Singular Biharmonic Problems of Second Kind
    • in press
    • R.K. Mohanty, D.J. Evans, New Algorithms for the Numerical Solution of One Dimensional Singular Biharmonic Problems of Second Kind, Int. J. Comput. Math., 1999, in press.
    • (1999) Int. J. Comput. Math.
    • Mohanty, R.K.1    Evans, D.J.2
  • 10
    • 0041164736 scopus 로고    scopus 로고
    • Finite difference methods of order two and four for 2-D nonlinear biharmonic problems of first kind
    • Mohanty R.K., Jain M.K., Pandey P.K. Finite difference methods of order two and four for 2-D nonlinear biharmonic problems of first kind. Int. J. Comput. Math. 61:1996;155-163.
    • (1996) Int. J. Comput. Math. , vol.61 , pp. 155-163
    • Mohanty, R.K.1    Jain, M.K.2    Pandey, P.K.3
  • 11
    • 0039977749 scopus 로고    scopus 로고
    • Difference methods of order two and four for systems of mildly non-linear biharmonic problems of the second kind in two space dimensions
    • Mohanty R.K., Pandey P.K. Difference methods of order two and four for systems of mildly non-linear biharmonic problems of the second kind in two space dimensions. Numer. Methods Partial Differential Equations. 12:1996;707-717.
    • (1996) Numer. Methods Partial Differential Equations , vol.12 , pp. 707-717
    • Mohanty, R.K.1    Pandey, P.K.2


* 이 정보는 Elsevier사의 SCOPUS DB에서 KISTI가 분석하여 추출한 것입니다.