نوع مقاله : مقاله پژوهشی
نویسندگان
گروه ریاضی، دانشکده علوم پایه، دانشگاه هرمزگان، بندرعباس، ایران
چکیده
کلیدواژهها
موضوعات
عنوان مقاله [English]
نویسندگان [English]
This paper is devoted to solving cordial Volterra integral equations of the third kind. First, generalized log orthogonal functions are introduced and their properties is investigated. Then by using this kind of orthogonal functions as basis function in spectral collocation method, a numerical method is proposed to solve this kind of integral equations. The approximation error and convergence analysis of the presented method are investigated. In order to verify the efficiency and accuracy of the presented method several numerical examples have been considered. A comparison of the obtained results demonstrates that the current method is less expensive and more efficient than some previously proposed methods.
کلیدواژهها [English]