NUMERICAL SOLUTION OF LAPLACE EQUATIONIN NON-RECTANGULAR DOMAIN

TIBEBU, MESERET

dc.contributor.author	TIBEBU, MESERET
dc.date.accessioned	2017-08-18T03:49:03Z
dc.date.available	2017-08-18T03:49:03Z
dc.date.issued	2017-08-18
dc.identifier.uri	http://hdl.handle.net/123456789/7767
dc.description	The dissertation entitled with “ Numerical Solution Of Laplace Equation In Non-Rectangular Domain ” Submitted in partial fulfillment of the requirement for the degree of Master of Science in Mathematics.	en_US
dc.description.abstract	The main purpose of this project was focused and concerned on the numerical solution of Laplace equation in non- rectangular domain by finite difference method and the most general case of the explicit solution to finite difference equation are presented. The best approximate convergent numerical solution was achieved by Successive over –relaxation (SOR) iterative method other than Laplace Explicit method (LEM) and Alternative-Direction Successive over- relaxation method (ADSOR). Finally it is shown that the choices of the step size ratio and over- accelerating parameter are highly depend to get speeds up the convergence and better approximate numerical solution; for the smallest step size ratio , the smallest number of iteration for the solution but greatest approximate numerical solution is achieved for the greatest step size ratio with	en_US
dc.subject	Mathematics	en_US
dc.title	NUMERICAL SOLUTION OF LAPLACE EQUATIONIN NON-RECTANGULAR DOMAIN	en_US
dc.type	Thesis	en_US