منابع مشابه
Solving integral equations of the third kind in the reproducing kernel space
A reproducing kernel Hilbert space restricts the space of functions to smooth functions and has structure for function approximation and some aspects in learning theory. In this paper, the solution of an integral equation of the third kind is constructed analytically using a new method. The analytical solution is represented in the form of series in the reproducing kernel space. Some numerical ...
متن کاملsolving integral equations of the third kind in the reproducing kernel space
a reproducing kernel hilbert space restricts the space of functions to smooth functions and has structure for function approximation and some aspects in learning theory. in this paper, the solution of an integral equation of the third kind is constructed analytically using a new method. the analytical solution is represented in the form of series in the reproducing kernel space. some numerical ...
متن کاملNumerical solution of the system of Volterra integral equations of the first kind
This paper presents a comparison between variational iteration method (VIM) and modfied variational iteration method (MVIM) for approximate solution a system of Volterra integral equation of the first kind. We convert a system of Volterra integral equations to a system of Volterra integro-di®erential equations that use VIM and MVIM to approximate solution of this system and hence obtain an appr...
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 کاملA 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 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: Studia Mathematica
سال: 1985
ISSN: 0039-3223,1730-6337
DOI: 10.4064/sm-81-1-1-11