TY  - JOUR
T1  - A Method of Solving a Class of Nonlinear Integral Equation in the Reproducing Kernel Space
AU - , Hong Du AU - , Minggen Cui 
JO  - Research Journal of Applied Sciences
VL  - 2
IS  - 6
SP  - 659
EP  - 665
PY  - 2007
DA  - 2001/08/19
SN  - 1815-932x
DO  - rjasci.2007.659.665
UR  - https://makhillpublications.co/view-article.php?doi=rjasci.2007.659.665
KW  - Nonlinear equation
KW  -Volterra-Fredholm integral equation
KW  -reproducing kernel space
AB  - 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.
ER  -