Numerical behavior of singular two-point boundary value problems in a comparative way

Selmahan Selim; Gözde Elver; Murat Sari

doi:10.11121/ijocta.01.2017.00503

Authors

Selmahan Selim Department of Mathematics, Yıldız Technical University, Turkey
Gözde Elver Department of Mathematics, Yıldız Technical University, Turkey
Murat Sari Yildiz Technical University

DOI:

https://doi.org/10.11121/ijocta.01.2017.00503

Abstract

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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Author Biography

Murat Sari, Yildiz Technical University

Murat Sari is an Associate Professor in the Department of Mathematics at Yildiz Technical University, Istanbul, Turkey. He received his BSc degree from Ondokuzmayis University, Turkey in 1991. He completed his graduate studies (MSc/PhD degrees) in Mathematics from University of South Wales, UK in 2000. His research interests are numerical methods, wave propagation, computational methods, mathematical modelling, biophysical modelling, medical modelling and economical modelling.

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