A novel iterative scheme and its application to differential equations.
The purpose of this paper is to employ an alternative approach to reconstruct the standard variational iteration algorithm II proposed by He, including Lagrange multiplier, and to give a simpler formulation of Adomian decomposition and modified Adomian decomposition method in terms of newly proposed variational iteration method-II (VIM). Through careful investigation of the earlier variational iteration algorithm and Adomian decomposition method, we find unnecessary calculations for Lagrange multiplier and also repeated calculations involved in each iteration, respectively. Several examples are given to verify the reliability and efficiency of the method.
Department of Mathematics, Zhejiang University, Hangzhou 310027, China.
Yasir
Y
Khan
Modern Textile Institute, Donghua University, Shanghai 200051, China.
F
F
Naeem
Department of Mathematics, Faculty of Electrical Engineering and Communication, Brno University of Technology, Technicka 8, 61600 Brno, Czech Republic.
Zdeněk
Z
Šmarda
D000465:Algorithms; D008433:Mathematics