【摘要】 为利用再生核理论讨论非线性Fredholm积分方程组的求解问题,在再生核空间中通过构造一组标准正交基,得到Fredholm积分方程组的精确解的级数表达式,截断级数得到方程组的近似解。近似解的误差依‖.‖W12[a,b]范数意义单调递减。数值结果表明,该方法是有效的。更多还原

【Abstract】 This paper discusses problems on solving systems of nonlinear Fredholm integral equations by using reproducing kernel theories.The series representation of exact solution for the systems of Fredholm integral equations is obtained by constructing an orthonormal basis in reproducing kernel space.Its approximate solution is obtained by truncating the series.The error of the approximate solution is monotone deceasing in the sense of ‖·‖W12.Numerical results show that the method proves efficient.更多还原