scholarly journals Multi-Parameter Exponentially Fitted, P-stable Obrechkoff Methods

2011 ◽  
Author(s):  
D. Hollevoet ◽  
M. Van Daele ◽  
G. Vanden Berghe ◽  
Theodore E. Simos ◽  
George Psihoyios ◽  
...  
Keyword(s):  
Obrechkoff Methods ◽  
Exponentially Fitted

scholarly journals A Two-parameter Family of Exponentially-fitted Obrechkoff Methods for Second-order Boundary Value Problems

2020 ◽  
Vol 7 (1) ◽  
Author(s):  
Ashiribo Wusu
Keyword(s):  
Parameter Family ◽  
Single Frequency ◽  
Frequency Method ◽  
New Methods ◽  
New Family ◽  
Obrechkoff Methods ◽  
Periodic Behaviour ◽  
Leading Term ◽  
Exponentially Fitted ◽  
Two Parameter

Generally, classical numerical methods may not be well suited for problems with oscillatory or periodic behaviour. To overcome this deficiency, they are modified using a technique called exponential fittings. The modification makes it possible to construct new methods suitable for the efficient integration of oscillatory or periodic problems from classical ones.In this work, a two--parameter family of exponentially--fitted Obrechkoff methods for approaching problems that exhibit oscillatory or periodic behaviour is constructed. The construction is based on a six-step flowchart described in [13]. Unlike the single--frequency method in [21], the constructed methods depend upon two frequencies which can be tuned to solve the problem at hand more accurately. The leading term of the local truncation error of the new family of method can also be easily obtained from the given general expression. The efficiency of the new methods is demonstrated on some numerical examples. This work is related to [20,21] and provides extension to the results obtained in [21]

Exponentially fitted symplectic Runge-Kutta-Nyström methods

2012 ◽  
Author(s):  
Th. Monovasilis ◽  
Z. Kalogiratou ◽  
T. E. Simos
Keyword(s):  
Exponentially Fitted ◽  
Runge Kutta

scholarly journals Three-Stage Two-Parameter Symplectic, Symmetric Exponentially-Fitted Runge-Kutta Methods of Gauss Type

2010 ◽  
Author(s):  
M. Van Daele ◽  
D. Hollevoet ◽  
G. Vanden Berghe ◽  
Theodore E. Simos ◽  
George Psihoyios ◽  
...  
Keyword(s):  
Gauss Type ◽  
Exponentially Fitted ◽  
Runge Kutta ◽  
Two Parameter
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