Solution of very large systems of equations arising out of biharmonic equations, using iterative methods

Sankar, R and Panchapakesan, S (1970) Solution of very large systems of equations arising out of biharmonic equations, using iterative methods. Technical Report. National Aeronautical Laboratory, Bangalore, India.

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Abstract

The problem is to analyse the buckling effects of a flat plate, supported at a certain number of points , when subjected to uniform loading. Tho possible checkered loading on the flat plate are considered. This problem gives raise to a biharmonic equation which is to be solved along with some boundary conditions.The biharmonic equation arising out of the plate problem is reduced by the application of finite difference techniques, to a set of simultaneous linear algebraic equations. This set of simultaneous equations is large and hence an iterative method for obtaining the solution for the system has been successfully attempted. The Co-efficients for the system of equation are generated through a program as and when they are required and Gauss-Siedal iteration is used to generate the solution.13; developed in 'SIRIUS' autocode to solve the plate problem which was A program having the above features was13; referred to us.problems on a small computer.at the end.13; Emphasis is made on the techniques used for solving such13; The results for the problem are given at the end.

Item Type:	Monograph (Technical Report)
Uncontrolled Keywords:	Biharmonic equations;Iterative methods
Subjects:	AERONAUTICS > Aerodynamics
Depositing User:	M/S ICAST NAL
Date Deposited:	07 Nov 2006
Last Modified:	24 May 2010 04:22
URI:	http://nal-ir.nal.res.in/id/eprint/3304

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