In this paper, an analytical approximation to the solution of Ginzburg-Landauis discussed. A Homotopy perturbation method introduced by He is employed to derive the analytic approximation solution and results compared with those of the Adomian decomposition method. Two examples are presented to show the capability of the methods. The results reveal that the methods are almost equally effective and promising.
Biazar, J.; Partovi, M.; and Ayati, Z.
Approximating Solutions for Ginzburg – Landau Equation by HPM and ADM,
Applications and Applied Mathematics: An International Journal (AAM), Vol. 5,
2, Article 24.
Available at: https://digitalcommons.pvamu.edu/aam/vol5/iss2/24