In this paper, the approximate solution to the linear fredholm-stieltjes integral equations of the second kind (LFSIESK) by using the generalized midpoint rule (GMR) is introduced. A comparison resu|ts depending ...In this paper, the approximate solution to the linear fredholm-stieltjes integral equations of the second kind (LFSIESK) by using the generalized midpoint rule (GMR) is introduced. A comparison resu|ts depending on the number of subintervals "n" are calculated by using Maple 18 and presented. These results are demonstrated graphically in a particular numerical example. An algorithm of this application is given by using Maple 18.展开更多
The Rayleigh-Ritz and the inverse iteration methods are used in order to compute the eigenvalues of 3D Fredholm-Stieltjes integral equations, i.e. 3D Fredholm equations with respect to suitable Stieltjes-type measures...The Rayleigh-Ritz and the inverse iteration methods are used in order to compute the eigenvalues of 3D Fredholm-Stieltjes integral equations, i.e. 3D Fredholm equations with respect to suitable Stieltjes-type measures. Some applications are shown, relevant to the problem of computing the eigenvalues of a body charged by a finite number of masses concentrated on points, curves or surfaces lying in.展开更多
文摘In this paper, the approximate solution to the linear fredholm-stieltjes integral equations of the second kind (LFSIESK) by using the generalized midpoint rule (GMR) is introduced. A comparison resu|ts depending on the number of subintervals "n" are calculated by using Maple 18 and presented. These results are demonstrated graphically in a particular numerical example. An algorithm of this application is given by using Maple 18.
文摘The Rayleigh-Ritz and the inverse iteration methods are used in order to compute the eigenvalues of 3D Fredholm-Stieltjes integral equations, i.e. 3D Fredholm equations with respect to suitable Stieltjes-type measures. Some applications are shown, relevant to the problem of computing the eigenvalues of a body charged by a finite number of masses concentrated on points, curves or surfaces lying in.