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Research Journal of Applied Sciences

A Method of Solving a Class of Nonlinear Integral Equation in the Reproducing Kernel Space
Hong Du and Minggen Cui

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.

How to cite this article
Hong Du and Minggen Cui , 2007. A Method of Solving a Class of Nonlinear Integral Equation in the Reproducing Kernel Space . Research Journal of Applied Sciences, 2: 659-665.

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