A PROJECT REPORT ON  FOURTH ORDER FINITE DIFFERENCE METHOD FOR SOLVING THIRD ORDER LINEAR BOUNDARY VALUE  PROBLEMS

DAGNAW, ZEMENU

dc.contributor.author	DAGNAW, ZEMENU
dc.date.accessioned	2021-11-16T09:11:40Z
dc.date.available	2021-11-16T09:11:40Z
dc.date.issued	2021-11-16
dc.identifier.uri	http://ir.bdu.edu.et/handle/123456789/12910
dc.description.abstract	In this project, a fourth order finite difference method is presented for solving third order linear two point boundary value problems. We use grid points to derive this method. The present method is convergent to fourth order accuracy. In addition, we show that this method is unconditionally stable. A MATLAB code is developed for the finite difference method to obtain the numerical results. Three numerical examples are considered to illustrate the efficiency of the present method. The numerical results, maximum absolute error and rate of convergence are tabulated and compared with the exact solution. Graphs are also depicted in support of the numerical results. From the results, we have observed that the present method approximates the exact solution very well.	en_US
dc.language.iso	en_US	en_US
dc.subject	Mathematics	en_US
dc.title	A PROJECT REPORT ON FOURTH ORDER FINITE DIFFERENCE METHOD FOR SOLVING THIRD ORDER LINEAR BOUNDARY VALUE PROBLEMS	en_US
dc.type	Thesis	en_US