Solution of the Duffing equation involving both integral and non-integral forcing terms ?
In this paper, a new iteration algorithm is proposed to solve the Duffing equation involving both integral and non-integral forcing terms in the reproducing kernel space. Its exact solution is represented in the form of series and the n -term approximation un(x) u n ( x ) of the exact solution u(x) u ( x ) is proved to converge to the exact solution. It is worthy to note that the method used in the paper can be applied for solving nonlinear differential equations.
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