Abstract We study a nonlinear second-order difference equation which considerably extends some equations in the literature. Our main result shows that is solvable closed form. Some applications of are also given.

Here, Adomian decomposition method has been used for finding approximateand numerical solutions of nonlinear differential difference equations arising inmathematical physics. Two models of special interest in physics, namely, theHybrid nonlinear differential difference equation and Relativistic Toda couplednonlinear differential-difference equation are chosen to illustrate the validity andthe g...