COMPARISON GE & AGE METHODES ON HYPERBOLICAL  EQUATIONS   (WAVE EQUATIONS)

dc.contributor.author	ASHENAFI WONDIMU AZEZE
dc.date.accessioned	2016-02-03T06:25:32Z
dc.date.available	2016-02-03T06:25:32Z
dc.date.issued	2015-11
dc.identifier.uri	http://hdl.handle.net/123456789/152
dc.description.abstract	The main objective of this thesis is a study of the numerical solution of hyperbolical partial differential equations. Deals with a general description and classification of partial differential equations. Some useful mathematical preliminaries are outlined. By employing finite differences the differential system is replaced by a large matrix system. Important concepts such as convergence, consistency, stability and accuracy are discussed with some detail. By coupling existing difference equations to approximate the given Hyperbolic, we arrive at the set of explicit equations, the equations of the point to the right and left boundary. The GE schemes are Constructed along a similar line as their accuracies, stability and truncation error established. Based on the scheme a class of parallel Alternative group explicit (AGE) iterative methods is derived accuracy, stability and convergence analysis is given.	en_US
dc.language.iso	en	en_US
dc.publisher	ARBA MINCH UNIVERSITY	en_US
dc.subject	1. FD Finite Difference 2. FDE Finite Difference Equations 3. GE Group Explicit 4. AGE Alternating Group Explicit 5. PR Peacman Rachford 6. DR Douglas RACHFORD 7. GER Group Explicit Right 8. GEL Group Explicit Lift 9. (S) Single 10. (D) Double 11. (S) AGE Single Alternative Group Explicit 12. (D) AGE Double Alternative Group Explicit 13. GEU Group Explicit with ungrouped 14. GEC Group Explicit with complete 15. LXW Lax-Wendroff 16. CN Crank-Nicolson 17. FD Finite Difference 18. RW Robert Weiss 19. Expl Explicit scheme	en_US
dc.title	COMPARISON GE & AGE METHODES ON HYPERBOLICAL EQUATIONS (WAVE EQUATIONS)	en_US
dc.type	Thesis	en_US