Block iterative methods for the numerical solution of two dimensional nonlinear biharmonic equations

International Journal of Computer Mathematics

Volumn 69, Issue 3-4, 1998, Pages 371-389

  Evans, D J ^a,b   Mohanty, R K ^a,c  

^a LOUGHBOROUGH UNIVERSITY   (United Kingdom)

^b NOTTINGHAM TRENT UNIVERSITY   (United Kingdom)

^c UNIVERSITY OF DELHI   (India)

Author keywords

Block iterative methods; BSOR method; Finite difference equation; Maximum absolute errors; NBSOR method; Non linear biharmonic equations; SLOR method

Indexed keywords

DIFFERENCE EQUATIONS; FINITE DIFFERENCE METHOD; NONLINEAR EQUATIONS; NUMERICAL METHODS;

BIHARMONIC EQUATIONS; BLOCK ITERATIVE METHOD; BSOR METHOD; MAXIMUM ABSOLUTE ERROR; NBSOR METHOD; SLOR METHOD;

ITERATIVE METHODS;

EID: 0001688267     PISSN: 00207160     EISSN: None     Source Type: Journal    
DOI: 10.1080/00207169808804729     Document Type: Article

References (7)

1. Mohanty, R. K., Jain, M. K. and Pandey, P. K. (1996). Finite Difference Methods of Order Two and Four for 2-D Nonlinear Biharmonic Problems of First Kind, Int. J. Computer Math., 61, 155-163.
2. Mohanty, R. K. and Pandey, P. K. (1996). Difference Methods of Order Two and Four for Systems of Mildly Nonlinear Biharmonic Problems of the Second Kind in Two Space Dimensions, Numer. Meth. Partial Diff. Eq., 12, 707-717.
3. Hageman, L. A. and Young, D. M. (1981). Applied Iterative Methods, Academic Press.
4. Ehrlich, L. W. (1971). Solving the Biharmonic Equation as Coupled Finite Difference Equations, SIAM. J. Numer. Anal., 8, 278-287.
5. Ehrlich, L. W. (1974). Point and Block SOR Applied to a Coupled Set of Difference Equations, Computing, 12, 181-194.
6. Mohanty, R. K. and Evans, D. J. (1997). High Order Accuracy Solution of One Dimensional Nonlinear Biharmonic Problems of Second Kind, to be published.
7. Parter, S. V. (1981). Block Iterative Methods in Elliptic Problem Solvers, M. H. Schultz Ed., Academic Press, 375-382.