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International Journal of Computer Mathematics Volume 61, 1996 - Issue 1-2
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Original Articles

Finite difference methods of order two and four for 2-d non-linear biharmonic problems of first kind

R.K. Mohanty Department of Mathematics, Faculty of Mathematical Sciences, University of Delhi, Delhi, 110 007, India
,
M. K. Jain Department of Mathematics, Faculty of Science, University of Mauritius, Reduit, Mauritius
&
P. K. Pandey Department of Mathematics, Faculty of Mathematical Sciences, University of Delhi, Delhi, 110 007, India
Pages 155-163 | Received 16 Jun 1995, Published online: 19 Mar 2007

Citations (9)

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Read on this site (3)

R.K. Mohanty, Weizhong Dai & Fei Han. (2015) A new high accuracy method for two-dimensional biharmonic equation with nonlinear third derivative terms: application to Navier–Stokes equations of motion. International Journal of Computer Mathematics 92:8, pages 1574-1590.
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D. J. Evans & R. K. Mohanty. (1998) Block iterative methods for the numerical solution of two dimensional nonlinear biharmonic equations. International Journal of Computer Mathematics 69:3-4, pages 371-389.
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R. K. Mohanty & P. K. Pandey. (1998) Families of accurate discretizations of order two and four for 3-D mildly nonlinear biharmonic problems of second kind. International Journal of Computer Mathematics 68:3-4, pages 363-380.
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Articles from other publishers (6)

Swarn Singh, Suruchi Singh & R. K. Mohanty. (2015) A New High Accuracy Off-Step Discretisation for the Solution of 2D Nonlinear Triharmonic Equations. East Asian Journal on Applied Mathematics 3:3, pages 228-245.
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R. K. Mohanty, M. K. Jain & B. N. Mishra. (2015) A Novel Numerical Method of for Three-Dimensional Non-Linear Triharmonic Equations. Communications in Computational Physics 12:5, pages 1417-1433.
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R K Mohanty, M K Jain & B N Mishra. (2011) A compact discretization of O ( h 4 ) for two-dimensional nonlinear triharmonic equations . Physica Scripta 84:2, pages 025002.
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Ranjan Kumar Mohanty, Mahinder Kumar Jain & Biranchi Narayan Mishra. (2011) A New Fourth Order Difference Approximation for the Solution of Three-dimensional Non-linear Biharmonic Equations Using Coupled Approach. American Journal of Computational Mathematics 01:04, pages 318-327.
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R.K. Mohanty. (2009) Single‐cell compact finite‐difference discretization of order two and four for multidimensional triharmonic problems. Numerical Methods for Partial Differential Equations 26:6, pages 1420-1426.
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R.K. Mohanty. (2000) A fourth-order finite difference method for the general one-dimensional nonlinear biharmonic problems of first kind. Journal of Computational and Applied Mathematics 114:2, pages 275-290.
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