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A Variable Step-Size Exponentially Fitted Explicit Hybrid Method for Solving Oscillatory Problems
Joint Authors
Samat, F.
Bin Suleiman, Mohamed
Ismail, Fudziah
Source
International Journal of Mathematics and Mathematical Sciences
Issue
Vol. 2011, Issue 2011 (31 Dec. 2011), pp.1-17, 17 p.
Publisher
Hindawi Publishing Corporation
Publication Date
2011-11-30
Country of Publication
Egypt
No. of Pages
17
Main Subjects
Abstract EN
An exponentially fitted explicit hybrid method for solving oscillatory problems is obtained.
This method has four stages.
The first three stages of the method integrate exactly differential systems whose solutions can be expressed as linear combinations of {1,x,exp(μx),exp(−μx)},μ∈C, while the last stage of this method integrates exactly systems whose solutions are linear combinations of {1,x,x2,x3,x4,exp(μx),exp(−μx)}.
This method is implemented in variable step-size code basing on an embedding approach.
The stability analysis is given.
Numerical experiments that have been carried out show the efficiency of our method.
American Psychological Association (APA)
Samat, F.& Ismail, Fudziah& Bin Suleiman, Mohamed. 2011. A Variable Step-Size Exponentially Fitted Explicit Hybrid Method for Solving Oscillatory Problems. International Journal of Mathematics and Mathematical Sciences،Vol. 2011, no. 2011, pp.1-17.
https://search.emarefa.net/detail/BIM-463903
Modern Language Association (MLA)
Samat, F.…[et al.]. A Variable Step-Size Exponentially Fitted Explicit Hybrid Method for Solving Oscillatory Problems. International Journal of Mathematics and Mathematical Sciences No. 2011 (2011), pp.1-17.
https://search.emarefa.net/detail/BIM-463903
American Medical Association (AMA)
Samat, F.& Ismail, Fudziah& Bin Suleiman, Mohamed. A Variable Step-Size Exponentially Fitted Explicit Hybrid Method for Solving Oscillatory Problems. International Journal of Mathematics and Mathematical Sciences. 2011. Vol. 2011, no. 2011, pp.1-17.
https://search.emarefa.net/detail/BIM-463903
Data Type
Journal Articles
Language
English
Notes
Includes bibliographical references
Record ID
BIM-463903