Journal Article

·2017 OPEN ACCESS

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

Selmahan Selim YTU , Gözde Elver YTU , Murat Sarı YTU

An International Journal of Optimization and Control Theories & Applications (IJOCTA)

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.

Keywords

Boundary value problem Numerical analysis Quadrature (astronomy) Singular boundary method Mathematics Singular point of a curve Point (geometry) Applied mathematics Singular solution Finite element method Mathematical analysis Computer science Boundary element method Geometry Engineering

Subject Areas

Numerical methods for differential equations ·Numerical Analysis ·Physical Sciences
Numerical methods in engineering ·Mechanics of Materials ·Physical Sciences
Electromagnetic Simulation and Numerical Methods ·Electrical and Electronic Engineering ·Physical Sciences

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