Solving general fourth order ODEs directly using four point block method

Abdul Majid, Zanariah and Waeleh, Nazreen and Ismail, Fudziah and Suleiman, Mohamed (2011) Solving general fourth order ODEs directly using four point block method. In: International Conference on Applied Analysis and Algebra, 29-2 July 2011, Istanbul, Turkey.

[img] PDF
Restricted to Repository staff only



A four point block method based on Adams type formulae is proposed for solving general fourth order ordinary differential equations (ODEs) directly. This four point block method will be implemented in predictor corrector mode and the corrector will be iterated to convergent. The numerical solution will be computed at four equally steps simultaneously. Most of the existence researches involving higher order ODEs will reduced the problem to a system of first order ODEs and this approach is obviously will enlarge the systems of first order equations. However, the direct method in this research will solved the fourth order ODEs directly without reducing it to first order equations. Lagrange interpolation polynomial was applied in the derivation of the proposed method. The method was implemented using variable step size in order to determine the approximated solutions. Numerical results shown that the four point block method were superior compared to the existing method. It is clearly proved that the four point block is able to produce acceptable results for solving fourth order ODEs.

Item Type:Conference or Workshop Item (Paper)
Keyword:fourth order odes,predictor corrector method,four point block
Subject:Equations—Numerical solutions
Faculty or Institute:Institute for Mathematical Research
ID Code:17953
Deposited By: kmportal
Deposited On:29 Sep 2011 07:51
Last Modified:21 Nov 2013 07:22

Repository Staff Only: Edit item detail

Document Download Statistics

This item has been downloaded for since 29 Sep 2011 07:51.

View statistics for "Solving general fourth order ODEs directly using four point block method"

Universiti Putra Malaysia Institutional Repository

Universiti Putra Malaysia Institutional Repository is an on-line digital archive that serves as a central collection and storage of scientific information and research at the Universiti Putra Malaysia.

Currently, the collections deposited in the IR consists of Master and PhD theses, Master and PhD Project Report, Journal Articles, Journal Bulletins, Conference Papers, UPM News, Newspaper Cuttings, Patents and Inaugural Lectures.

As the policy of the university does not permit users to view thesis in full text, access is only given to the first 24 pages only.