A Monotone Iterative Method For System Of Nonlinear Integro-Differential Equations

In this paper a new reliable technique for solving a class of systems of nonlinear integro differential equations of the second order has been introduced. This method is applied to derive monotone sequences of upper and lower solutions which are uniformly convergent. Theorems which list the conditions for the existence of such sequences are presented. All derivations are presented for two order IDEs. However, they can be easily extended to the order-()۲pp> cases we conclude with an application in image deblurring. The numerical results reveal reliability and efficiency of the proposed algorithm.

Keywords:

System of nonlinear integro-differential equations , Lower and upper solution , Maximum principle , Monotone method