شماره ركورد كنفرانس :
3503
عنوان مقاله :
Reducing the collocation parameters for a class of weakly singular Volterra integral equations
Author/Authors :
M. Toranj Simin K. N. Toosi University of Technology , M. Hadizadeh K. N. Toosi University of Technology
كليدواژه :
Volterra integral equation , Collocation method , Noncompact operator , Weakly singular kernel , Collocation parameter
عنوان كنفرانس :
چهل و هفتمين كنفرانس رياضي ايران
چكيده لاتين :
In this paper, we claim that imposing some verifiable conditions on the collocation parameters
in order to obtain high order numerical results for a class of weakly singular Volterra integral
equations with noncompact kernels. Due to the increasingly ill-conditioned linear systems which
obtain through the standard collocation method with graded meshes, we will show that the
associated linear systems are well-conditioned and a superconvergence result is occurred. The
strategy is also illustrated by a numerical test problem
