Title of article :
A fourth-order finite difference method for the general one-dimensional nonlinear biharmonic problems of first kind
Author/Authors :
Mohanty، نويسنده , , R.K.، نويسنده ,
Issue Information :
روزنامه با شماره پیاپی سال 2000
Pages :
16
From page :
275
To page :
290
Abstract :
We present two new finite difference methods of order two and four in a coupled manner for the general one-dimensional nonlinear biharmonic equation yIV=f(x,y,y′,y″,y″′) subject to the boundary conditions y(a)=A0, y′(a)=A1, y(b)=B0,y′(b)=B1. In both cases, we use only three grid points and do not require to discretize the boundary conditions. First-order derivative of the solution is obtained as a by-product of the methods. The methods are successfully applied to the problems both in cartesian and polar coordinates. Numerical examples are given to illustrate the methods and their convergence.
Keywords :
Finite difference method , Nonlinear biharmonic equation , Polar coordinate , NBSOR method , Root-mean-square error , Maximum absolute error
Journal title :
Journal of Computational and Applied Mathematics
Serial Year :
2000
Journal title :
Journal of Computational and Applied Mathematics
Record number :
1550702
Link To Document :
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