Approximate solutions of Fredholm 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 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 کاملNumerical solutions of nonlinear fuzzy Fredholm integro-differential equations of the second kind
In this paper, we use parametric form of fuzzy number, then aniterative approach for obtaining approximate solution for a classof nonlinear fuzzy Fredholmintegro-differential equation of the second kindis proposed. This paper presents a method based on Newton-Cotesmethods with positive coefficient. Then we obtain approximatesolution of the nonlinear fuzzy integro-differential equations by an it...
متن کاملConvergence Rates of Certain Approximate Solutions to Fredholm Integral Equations of the First Kind*
where S, T are closed, bounded intervals of the real line, K(t, s) is a given kernel on T x S with appropriate properties, and u(t) is known only for t E A = (t1 ) t, )..., t,J, where tl < t2 < *.. < t, , [tl , tn] = T. Letting u(t*) = ui , we take as an approximate solution the function 2 which satisfies Uf = s K(ti , s) S(s) ds, i = 1, 2,..., n (1.2) s and minimizes a quadratic functional J(z...
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: Applied Mathematics and Computation
سال: 2009
ISSN: 0096-3003
DOI: 10.1016/j.amc.2009.01.088