Parametric Class of Non-Symmetric Methods for Solving Periodic Initial Value Problems

2016 ◽  
Vol 13 (12) ◽  
pp. 9140-9144 ◽  
Author(s):  
Iman H Ibrahim
Keyword(s):  
Initial Value Problems ◽  
Initial Value ◽  
Symmetric Methods ◽  
Periodic Initial Value Problems ◽  
Parametric Class

A P-STABLE EIGHTEENTH-ORDER SIX-STEP METHOD FOR PERIODIC INITIAL VALUE PROBLEMS

2007 ◽  
Vol 18 (03) ◽  
pp. 419-431 ◽  
Author(s):  
CHUNFENG WANG ◽  
ZHONGCHENG WANG
Keyword(s):  
Initial Value Problems ◽  
Numerical Results ◽  
New Method ◽  
Initial Value ◽  
Step Method ◽  
Periodic Initial Value Problems

In this paper we present a new kind of P-stable eighteenth-order six-step method for periodic initial-value problems. We add the fourth derivatives to our previous P-stable six-step method to increase the accuracy. We apply two classes of well-known problems to our new method and compare it with the previous methods. The numerical results show that the new method is much more stable, accurate and efficient than the previous methods.

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