scholarly journals Generalised Modified Taylor Series Approach of Developing k-step Block Methods for Solving Second Order Ordinary Differential Equations

2020 ◽  
Vol 8 (6) ◽  
pp. 773-781
Author(s):  
Oluwaseun Adeyeye ◽  
Zurni Omar
Keyword(s):  
Differential Equations ◽  
Ordinary Differential Equations ◽  
Taylor Series ◽  
Second Order ◽  
Block Methods

scholarly journals Block Methods based on Newton Interpolations for Solving Special Second Order Ordinary Differential Equations Directly

2008 ◽  
Vol 4 (3) ◽  
pp. 174-180 ◽  
Author(s):  
Yap Lee Ken ◽  
Fudziah Ismail ◽  
Mohamed Suleiman ◽  
Suriah Md. Amin
Keyword(s):  
Differential Equations ◽  
Ordinary Differential Equations ◽  
Second Order ◽  
Block Methods

Functionally-fitted block methods for second order ordinary differential equations

2015 ◽  
Vol 197 ◽  
pp. 96-108 ◽  
Author(s):  
Jingwen Wu ◽  
Hongjiong Tian
Keyword(s):  
Differential Equations ◽  
Ordinary Differential Equations ◽  
Second Order ◽  
Block Methods

scholarly journals 3-Point Block Methods for Direct Integration of General Second-Order Ordinary Differential Equations

2011 ◽  
Vol 2011 ◽  
pp. 1-14 ◽  
Author(s):  
J. O. Ehigie ◽  
S. A. Okunuga ◽  
A. B. Sofoluwe
Keyword(s):  
Differential Equations ◽  
Ordinary Differential Equations ◽  
Absolute Stability ◽  
Second Order ◽  
Stability And Convergence ◽  
Block Methods ◽  
Good Region ◽  
The Stability ◽  
The Individual ◽  
Region Of Absolute Stability

A Multistep collocation techniques is used in this paper to develop a 3-point explicit and implicit block methods, which are suitable for generating solutions of the general second-order ordinary differential equations of the form . The derivation of both explicit and implicit block schemes is given for the purpose of comparison of results. The Stability and Convergence of the individual methods of the block schemes are investigated, and the methods are found to be 0-stable with good region of absolute stability. The 3-point block schemes derived are tested on standard mechanical problems, and it is shown that the implicit block methods are superior to the explicit ones in terms of accuracy.

Solution of Second Order Ordinary Differential Equations by Direct Diagonally Implicit Block Methods

2014 ◽  
pp. 111-117 ◽  
Author(s):  
Nooraini Zainuddin ◽  
Zarina Bibi Ibrahim ◽  
Mohamed Suleiman ◽  
Khairil Iskandar Othman ◽  
Yong Faezah Rahim
Keyword(s):  
Differential Equations ◽  
Ordinary Differential Equations ◽  
Second Order ◽  
Block Methods

EQUAL ORDER BLOCK METHODS FOR SOLVING SECOND ORDER ORDINARY DIFFERENTIAL EQUATIONS

2018 ◽  
Vol 99 (4) ◽  
pp. 309-332
Author(s):  
Oluwaseun Adeyeye ◽  
Zurni Omar
Keyword(s):  
Differential Equations ◽  
Ordinary Differential Equations ◽  
Second Order ◽  
Block Methods

scholarly journals An Eight Order Two-Step Taylor Series Algorithm for the Numerical Solutions of Initial Value Problems of Second Order Ordinary Differential Equations

OALib ◽  
2017 ◽  
Vol 04 (06) ◽  
pp. 1-9
Author(s):  
Ayodele Olakiitan Owolanke ◽  
Ohi Uwaheren ◽  
Friday Oghenerukevwe Obarhua
Keyword(s):  
Differential Equations ◽  
Ordinary Differential Equations ◽  
Taylor Series ◽  
Initial Value Problems ◽  
Numerical Solutions ◽  
Second Order ◽  
Initial Value
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