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

DOI10.1016/S0377-0427(99)00202-2zbMath0963.65083WikidataQ127865167 ScholiaQ127865167MaRDI QIDQ1970400

Ranjan Kumar Mohanty

Publication date: 21 March 2000

Published in: Journal of Computational and Applied Mathematics (Search for Journal in Brave)

zbMATH Keywords

convergencenumerical examplessuccessive overrelaxationroundoff errorsfourth-order difference schemefourth-order boundary value problemsnonlinear biharmonic problems

Mathematics Subject Classification ID

Nonlinear boundary value problems for ordinary differential equations (34B15) Stability and convergence of numerical methods for ordinary differential equations (65L20) Numerical solution of boundary value problems involving ordinary differential equations (65L10) Finite difference and finite volume methods for ordinary differential equations (65L12)

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Cites Work

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• Iterative methods for a fourth order boundary value problem
• Finite difference methods of order two and four for 2-d non-linear biharmonic problems of first kind
• A Sixth-order Tridiagonal Finite Difference Method for General Non-linear Two-point Boundary Value Problems
• A Fourth-order Tridiagonal Finite Difference Method for General Non-linear Two-point Boundary Value Problems with Mixed Boundary Conditions
• BLOCK ITERATIVE METHODS FOR ONE DIMENSIONAL NONLINEAR BIHARMONIC PROBLEMS ON A PARALLEL COMPUTER*
• Block iterative methods for the numerical solution of two dimensional nonlinear biharmonic equations
• Difference methods of order two and four for systems of mildly nonlinear biharmonic problems of the second kind in two space dimensions
• New algorithms for the numerical solution of one dimensional singular biharmonic problems of second kind

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