Hong Du  , Minggen Cui  , 
    A Method of Solving a Class of Nonlinear Integral Equation in the Reproducing Kernel Space,
    Research Journal of Applied Sciences,
    Volume 2,Issue 6,
    2007,
    Pages 659-665,
    ISSN 1815-932x,
    rjasci.2007.659.665,
    (https://makhillpublications.co/view-article.php?doi=rjasci.2007.659.665)
    Abstract: In the study, we will give a method of solving the solution for the nonlinear Volterra-Fredholm integral equation in the reproducing kernel space W(D). The problem on solving the solution of the nonlinear Volterra-Fredholm integral equation is transformed into the problem of solving system of linear equations. The approximate solution converges to exact solution of the nonlinear Volterra-Fredholm integral equation in the sense of  .  but also in the sense of  .  C. In addition, the error of the approximate solution is monotone deceasing and high convergence order in the sense of. Numerical experiments illustrate the method is efficient.
    Keywords: Nonlinear equation;Volterra-Fredholm integral equation;reproducing kernel space