The differential transform method (DTM) has been presented for solving relativistic equation. The proposed method is easier and more reliable than usual DTM and other widely used techniques. The algebraic equations related to unknown coefficients of the proposed solution are linear, which simplifies the determination of them. The obtained results have been compared to those obtained by the numerical method (RK fourth order), the differential transform method, the modified Lindstedt–Poincare method and the harmonic balance method. The comparisons demonstrate that the proposed solution is closer to the numerical solution than the other methods.
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