This work will study the magnetization of the plateau in one-dimensional Ising model with competitive interactions of nearest and next-nearest-neighbors in linear network, through the use of the theory of effective field (EFT) using the technique of differential operator with clusters a spin and two spins. The one-dimensional Ising model will be studied with competitive interactions antiferromagnetic, J1 < 0 between the nearest-neighbors aligned parallel to the central site spin, and interaction feromagnetic J2 > 0 between the next-nearest-neighbors. By using the formalism of effective field theory, based on the technique of differential operator, will be discussed when formation occurs plateau influenced by the parameter = J2 J1. The parameter is evaluated with a low magnetic field, where it expects to find the presence of plateau. From the critical magnetic field (h > hc), one expects to find the saturation field hs corresponding to saturation magnetization and below this field (h < hc) we verified the critical magnetic field hc for the model.
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