Linear ODEs of First and Second Order

2007 ◽  
pp. 11-130
Author(s):  
Mircea V. Soare ◽  
Petre P. Teodorescu ◽  
Ileana Toma
Keyword(s):  
Second Order ◽  
Linear Odes

Bases for Second Order Linear ODEs

2020 ◽  
Vol 127 (9) ◽  
pp. 849-849
Author(s):  
Peter McGrath
Keyword(s):  
Second Order ◽  
Order Linear ◽  
Linear Odes

Two-step fourth order methods for linear ODEs of the second order

2008 ◽  
Vol 51 (4) ◽  
pp. 449-460 ◽  
Author(s):  
Mikhail V. Bulatov ◽  
Guido Vanden Berghe
Keyword(s):  
Fourth Order ◽  
Second Order ◽  
Linear Odes

Non-Linear ODEs Of First and Second Order

2007 ◽  
pp. 239-364
Author(s):  
Mircea V. Soare ◽  
Petre P. Teodorescu ◽  
Ileana Toma
Keyword(s):  
Second Order ◽  
Non Linear ◽  
Linear Odes

The Formation of Implicit Second Order Backward Difference Adam’s Formulae for Solving Stiff Systems of First Order Initial Value Problems of Ordinary Differential Equations

2020 ◽  
pp. 21-29
Author(s):  
Sabo J. ◽  
Kyagya T. Y. ◽  
Ayinde A. M.
Keyword(s):  
Initial Value Problems ◽  
Absolute Stability ◽  
Multistep Method ◽  
Second Order ◽  
Stiff Systems ◽  
Initial Value ◽  
First Order ◽  
Systems Of Odes ◽  
Linear Odes ◽  
Region Of Absolute Stability

The formation of implicit second order backward difference Adam’s formulae for solving stiff systems of ODEs was study in this paper. We used interpolation and collocation in deriving backward differentiae Adam’s formulae. The basic properties of our method was analyzed, and it was found to be consistent, zero-stability and convergent, we further plotted the region of absolute stability and it was shown to be A-stable. Numerical evidences shows that the multistep method develop is very effective method for in handling linear ODEs either initial value problems or boundary value problems.

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