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Original Articles

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

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Pages 371-389 | Received 15 Jan 1997, Published online: 19 Mar 2007

References

  • 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 .
  • 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 .
  • Hageman , L. A. and Young , D. M. 1981 . Applied Iterative Methods , Academic Press .
  • Ehrlich , L. W. 1971 . Solving the Biharmonic Equation as Coupled Finite Difference Equations . SIAM. J. Numer. Anal. , 8 : 278 – 287 .
  • Ehrlich , L. W. 1974 . Point and Block SOR Applied to a Coupled Set of Difference Equations . Computing , 12 : 181 – 194 .
  • Mohanty , R. K. and Evans , D. J. 1997 . High Order Accuracy Solution of One Dimensional Nonlinear Biharmonic Problems of Second Kind to be published
  • Parter , S. V. 1981 . Block Iterative Methods in Elliptic Problem Solvers , Edited by: Schultz , M. H. 375 – 382 . Academic Press .

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