Abstract
On the basis of reproducing kernel Hilbert spaces theory, an iterative algorithm for solving some nonlinear differential-difference equations (NDDEs) is presented. The analytical solution is shown in a series form in a reproducing kernel space, and the approximate solution is constructed by truncating the series to terms. The convergence of to the analytical solution is also proved. Results obtained by the proposed method imply that it can be considered as a simple and accurate method for solving such differential-difference problems.
Citation
Reza Mokhtari. Fereshteh Toutian Isfahani. Maryam Mohammadi. "Reproducing Kernel Method for Solving Nonlinear Differential-Difference Equations." Abstr. Appl. Anal. 2012 1 - 10, 2012. https://doi.org/10.1155/2012/514103
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