Numerical Solution of Sine-Gordon Equation by Reduced Differential Transform Method

Reduced differential transform method (RDTM), which does not need small parameter in the equation is implemented for solving the sine-Gordon equation. The approximate analytical solution of the equation is calculated in the form of a series with easily computable components. Comparing the methodology with some other known techniques shows that the present approach is effective and powerful. Three test modeling problems from mathematical physics, both nonlinear and coupled are discussed to illustrate the effectiveness and the performance of the proposed method.