Superconvergence of Modified Projection Method for Integral Equations of the Second Kind
نویسندگان
چکیده
منابع مشابه
A Modified Degenerate Kernel Method for the System of Fredholm Integral Equations of the Second Kind
In this paper, the system of Fredholm integral equations of the second kind is investigated by using a modified degenerate kernel method (MDKM). To construct a MDKM the source function is approximated by the same way of producing degenerate kernel. The interpolation is used to make the needed approximations. Lagrange polynomials are adopted for the interpolation. The equivalency of proposed m...
متن کاملThe modified degenerate kernel method for the multi-dimensional Fredholm integral equations of the second kind
In this paper, to investigate the multi-dimensional Fredholm integral equations of the second kind a modified degenerate kernel method is used. To construct the mentioned modified, the source function is approximated by the same method which employed to obtain a degenerate approximation of the kernel. The Lagrange interpolation method is used to make the needed approximations. The error and ...
متن کاملSolving Linear Fred Holm Fuzzy Integral Equations of the Second Kind by Modified Trapezoidal Method
One of the methods for solving definite integrals is modified trapezoid method, which is obtained by using Hermitian interpolation (see e.g. [12]). In this article, we have used modified trapezoid quadrature method and Generalized differential to solve the Fredholm fuzzy integral equations of the second kind. This method leads to solve fuzzy linear system. Finally the proposed method is illustr...
متن کاملDegenerate kernel approximation method for solving Hammerstein system of Fredholm integral equations of the second kind
Degenerate kernel approximation method is generalized to solve Hammerstein system of Fredholm integral equations of the second kind. This method approximates the system of integral equations by constructing degenerate kernel approximations and then the problem is reduced to the solution of a system of algebraic equations. Convergence analysis is investigated and on some test problems, the propo...
متن کاملVARIATIONAL ITERATION METHOD FOR FREDHOLM INTEGRAL EQUATIONS OF THE SECOND KIND
In this paper, He‘s variational iteration method is applied to Fredholm integral equations of the second kind. To illustrate the ability and simplicity of the method, some examples are provided. The results reveal that the proposed method is very effective and simple and for first fourth examples leads to the exact solution.
متن کاملذخیره در منابع من
با ذخیره ی این منبع در منابع من، دسترسی به آن را برای استفاده های بعدی آسان تر کنید
ژورنال
عنوان ژورنال: Journal of Integral Equations and Applications
سال: 1991
ISSN: 0897-3962
DOI: 10.1216/jiea/1181075617