شماره ركورد كنفرانس :
5362
عنوان مقاله :
Control of condition number in spectral Galerkin implementation for solving generalized Abel integral equation
پديدآورندگان :
Kafi Rasoul r.kaafi@sutech.ac.ir Shiraz University of Technology , Mokhtary Payam mokhtary@sut.ac.ir Sahand University of Technology , Hesameddini Esmail hesameddini@sutech.ac.ir Shiraz University of Technology
كليدواژه :
Generalized Abel integral equation , spectral Galerkin , condition number
عنوان كنفرانس :
دوازدهمين سمينار جبر خطي و كاربردهاي آن
چكيده فارسي :
Numerical discretization of functional equation using spectral methods usually leads to a linear system of algebraic equations with a high conditional and full coefficient matrix. This drawback destroys the accuracy specially for large values of approximation degree. In this paper, we propose a new spectral Galerkin implementation for solving a class of generalized Abel integral equations, with the purpose of controlling condition number and recovering the familiar spectral accuracy.
