Numerical behavior of singular two-point boundary value problems in a comparative way
Author(s) -
Selmahan Selim,
Gözde Elver,
Murat Sarı
Publication year - 2017
Publication title -
an international journal of optimization and control theories and applications (ijocta)
Language(s) - English
Resource type - Journals
SCImago Journal Rank - 0.287
H-Index - 6
eISSN - 2146-5703
pISSN - 2146-0957
DOI - 10.11121/ijocta.01.2017.00503
Subject(s) - boundary value problem , numerical analysis , quadrature (astronomy) , singular boundary method , mathematics , singular point of a curve , point (geometry) , singular solution , finite element method , mathematical analysis , computer science , boundary element method , geometry , engineering , electrical engineering , structural engineering
This article concentrates on discovering numerical behavior of the singular two-point boundary value problems through various numerical techniques. This is carried out in a comparative way by mainly using differential quadrature and finite element methods. Also a discussion has been done by means of advantages and disadvantages of the numerical methods of interest.To properly understand the behavior of the physical processes represented by the model equation, the calculated solutions have been discussed in detail.
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