Research Journal of Applied Sciences

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A Method of Solving a Class of Nonlinear Integral Equation in the Reproducing Kernel Space

Hong Du and Minggen Cui
Page: 659-665 | Received 21 Sep 2022, Published online: 21 Sep 2022

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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 . A Method of Solving a Class of Nonlinear Integral Equation in the Reproducing Kernel Space.
DOI: https://doi.org/10.36478/rjasci.2007.659.665
URL: https://www.makhillpublications.co/view-article/1815-932x/rjasci.2007.659.665