@article{MAKHILLRJAS2007268765, title = {A Method of Solving a Class of Nonlinear Integral Equation in the Reproducing Kernel Space}, journal = {Research Journal of Applied Sciences}, volume = {2}, number = {6}, pages = {659-665}, year = {2007}, issn = {1815-932x}, doi = {rjasci.2007.659.665}, url = {https://makhillpublications.co/view-article.php?issn=1815-932x&doi=rjasci.2007.659.665}, author = {Hong Du and}, keywords = {Nonlinear equation,Volterra-Fredholm integral equation,reproducing kernel space}, 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.} }