SOLVING SINGULAR ODES IN UNBOUNDED DOMAINS WITH SINC-COLLOCATION METHOD

Subject Areas : International Journal of Mathematical Modelling & Computations

H. Pourbashash ¹ ( Faculty of Mathematical Scinces, University of Tabriz, Tabriz, Iran. Iran, Islamic Republic of Faculty of Mathematical Scinces )
H. Kheiri ² ( Faculty of Mathematical Scinces, University of Tabriz, Tabriz, Iran. Iran, Islamic Republic of )
J. Akbarfam ³ ( Department of Mathematics, University of Florida, Gainesville, FL 32611-8105, USA. United States )

Received: 2016-04-15 Accepted : 2016-04-15 Published : 2014-03-21

Keywords: Sinc-collocation method, Singular, Initial value problem, linear problems, Nonlinear problems,

Abstract :

Spectral approximations for ODEs in unbounded domains have only received limited attention. In many applicable problems, singular initial value problems arise. In solving these problems, most of numerical methods have difficulties and often could not pass the singular point successfully. In this paper, we apply the sinc-collocation method for solving singular initial value problems. The ability of the sinc-collocation method in overcoming the singular points difficulties makes it an efficient method in dealing with these equations. We use numerical examples to highlight efficiency of sinc-collocation method in problems with singularity in equations.