Yap Lee Ken, Fudziah Ismail, Mohamed Suleiman

Block Methods for Special Second Order Ordinary Differential Equations

Sequential and Parallel Implementations

• Broschiertes Buch

Produktbeschreibung

Various types of methods have been developed for solving the special second order ODEs which is not explicitly dependent on the first derivative of the solution. The solution to the equation can be obtained by reducing it to an equivalent first order system of twice the dimension and solved using a standard numerical methods. However it is often advantageous to solve them directly. This book focused on the derivation of the block methods for solving the special second order ODEs directly. The early section of the book is devoted to the derivation of the methods using linear operator. Then the derivation of the method is done using Newton-Gregory backward interpolation formula. Numerical results of the methods are compared with the existing methods which shows that they are computationally more efficient. Block methods are suitable for parallel implementation, hence parallel codes of the methods are developed for solving large systems of ODEs. The performance of the methods using sequential and parallel codes are compared which clearly shows that the parallel codes produced better speedup and efficiency.

Produktdetails

• Verlag: LAP Lambert Academic Publishing
• Seitenzahl: 196
• Erscheinungstermin: 2. Juni 2011
• Englisch
• Abmessung: 220mm x 150mm x 12mm
• Gewicht: 310g
• ISBN-13: 9783844384130
• ISBN-10: 3844384138
• Artikelnr.: 33579810

Autorenporträt

Yap Lee Ken, M Sc: Mathematics lecturer at the Department of Engineering and Science, Universiti Tunku Abdul Rahman, Kuala Lumpur, Malaysia. Fudziah Ismail Ph D: Associate Professor at the Department of Mathematics, Universiti Putra Malaysia. Mohamed Suleiman Ph D: Professor at the Department of Mathematics, Universiti Putra Malaysia.