A new analytical solution procedure for nonlinear integral equations
نویسندگان
چکیده
منابع مشابه
ANALYTICAL-NUMERICAL SOLUTION FOR NONLINEAR INTEGRAL EQUATIONS OF HAMMERSTEIN TYPE
Using the mean-value theorem for integrals we tried to solved the nonlinear integral equations of Hammerstein type . The mean approach is to obtain an initial guess with unknown coefficients for unknown function y(x). The procedure of this method is so fast and don't need high cpu and complicated programming. The advantages of this method are that we can applied for those integral equations whi...
متن کاملanalytical-numerical solution for nonlinear integral equations of hammerstein type
using the mean-value theorem for integrals we tried to solved the nonlinear integral equations of hammerstein type . the mean approach is to obtain an initial guess with unknown coefficients for unknown function y(x). the procedure of this method is so fast and don't need high cpu and complicated programming. the advantages of this method are that we can applied for those integral equation...
متن کاملAnalytical-Numerical Solution for Nonlinear Integral Equations of Hammerstein Type
Using the mean-value theorem for integrals we tried to solved the nonlinear integral equations of Hammerstein type . The mean approach is to obtain an initial guess with unknown coefficients for unknown function y(x). The procedure of this method is so fast and don’t need high cpu and complicated programming. The advantages of this method is that we can applied for those integral equations whic...
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Let (1)Rh = f , 0 ≤ x ≤ L, Rh = ∫ L 0 R(x, y)h(y) dy, where the kernel R(x, y) satisfies the equation QR = Pδ(x− y). Here Q and P are formal differential operators of order n and m < n, respectively, n and m are nonnegative even integers, n > 0, m ≥ 0, Qu := qn(x)u + ∑n−1 j=0 qj(x)u (j), Ph := h(m) + ∑m−1 j=0 pj(x)h (j), qn(x) ≥ c > 0, the coefficients qj(x) and pj(x) are smooth functions defin...
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ژورنال
عنوان ژورنال: Mathematical and Computer Modelling
سال: 2012
ISSN: 0895-7177
DOI: 10.1016/j.mcm.2011.11.044