Numerical solution for solving second order ordinary differential equations using block method

The purpose of this paper is to present a four point direct block one-step method for solving directly the general second order nonstiff initial value problems (IVPs) of ordinary differential equations (ODEs). The mathematical problems in real world can be written in the form of differential equatio...

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Bibliographic Details
Main Authors: Mukhtar, Nur Zahidah, Abdul Majid, Zanariah, Ismail, Fudziah, Suleiman, Mohamed
Format: Conference or Workshop Item
Language:English
Published: World Scientific Publishing Company 2011
Online Access:http://psasir.upm.edu.my/id/eprint/25316/
http://psasir.upm.edu.my/id/eprint/25316/1/Numerical%20solution%20for%20solving%20second%20order%20ordinary%20differential%20equations%20using%20block%20method.pdf
Description
Summary:The purpose of this paper is to present a four point direct block one-step method for solving directly the general second order nonstiff initial value problems (IVPs) of ordinary differential equations (ODEs). The mathematical problems in real world can be written in the form of differential equations and arise in the fields of science and engineering such as fluid dynamic, electric circuit, motion of rocket or satellite and other area of application. The proposed method will estimate the approximation solutions at four points simultaneously by using variable step size.