Variational iteration algorithm-I with an auxiliary parameter for wave-like vibration equations

In this work, the variational iteration algorithm-I with an auxiliary parameter is used for the analytical treatment of the wave equations and wave-like vibration equations. The technique has the capability of reducing the size of computational work and easily overcomes the difficulty of the perturbation method or Adomian polynomials. Comparison with the classic variational iteration algorithm-I (VIA-1) is carried out, showing that the modification is more efficient and reliable.