and Applied Analysis3[6] J.-H. He, “Variational iteration method—a kind of non-linearanalytical technique: some examples,” International Journal ofNon-Linear Mechanics, vol. 34, no. 4, pp. 699–708, 1999.[7] J.-H. He, “Variational iteration method-Some recent resultsand new interpretations,” Journal of Computational and AppliedMathematics, vol. 207, no. 1, pp. 3–17, 2...

*Correspondence: [email protected] Department of Mathematics and Information Education, National Taipei University of Education, Taipei, Taiwan Abstract On time scales, one area lacking of development is the method of finding solutions on partial dynamic equations. This paper proposes a method for finding the exact solution of linear partial dynamic equations on arbitrage time scales. We mod...

Variational Iteration method using He's polynomials can be used to construct solitary solution and  compacton-like solution for nonlinear dispersive equatioons. The chosen initial solution can be determined in compacton-like form or in solitary form with some compacton-like or solitary forms with some unknown parameters, which can be determined in the solution procedure. The compacton-like solu...

We implement a relatively new analytical technique, the variational iteration decomposition method (VIDM), for solving the eighth-order boundary value problems. The proposed method is an elegant combination of variational iteration method and decomposition method. The analytical results of the equations have been obtained in terms of convergent series with easily computable components. Numerica...