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A Class of Numerical Methods for the Solution of Fourth-Order Ordinary Differential Equations in Polar Coordinates
Joint Authors
Source
Advances in Numerical Analysis
Issue
Vol. 2012, Issue 2012 (31 Dec. 2012), pp.1-20, 20 p.
Publisher
Hindawi Publishing Corporation
Publication Date
2012-03-15
Country of Publication
Egypt
No. of Pages
20
Main Subjects
Abstract EN
In this piece of work using only three grid points, we propose two sets of numerical methods in a coupled manner for the solution of fourth-order ordinary differential equation uiv(x)=f(x,u(x),u′(x),u′′(x),u′′′(x)), a We do not require to discretize the boundary conditions. The derivative of the solution is obtained as a byproduct of the discretization procedure. We use block iterative method and tridiagonal solver to obtain the solution in both cases. Convergence analysis is discussed and numerical results are provided to show the accuracy and usefulness of the proposed methods.
American Psychological Association (APA)
Talwar, Jyoti& Mohanty, R. K.. 2012. A Class of Numerical Methods for the Solution of Fourth-Order Ordinary Differential Equations in Polar Coordinates. Advances in Numerical Analysis،Vol. 2012, no. 2012, pp.1-20.
https://search.emarefa.net/detail/BIM-486217
Modern Language Association (MLA)
Talwar, Jyoti& Mohanty, R. K.. A Class of Numerical Methods for the Solution of Fourth-Order Ordinary Differential Equations in Polar Coordinates. Advances in Numerical Analysis No. 2012 (2012), pp.1-20.
https://search.emarefa.net/detail/BIM-486217
American Medical Association (AMA)
Talwar, Jyoti& Mohanty, R. K.. A Class of Numerical Methods for the Solution of Fourth-Order Ordinary Differential Equations in Polar Coordinates. Advances in Numerical Analysis. 2012. Vol. 2012, no. 2012, pp.1-20.
https://search.emarefa.net/detail/BIM-486217
Data Type
Journal Articles
Language
English
Notes
Includes bibliographical references
Record ID
BIM-486217