Modified Variational Iteration Method for Integro-Differential Equations and Coupled Systems

Key words: Initial Value Problems; Local Adomian Decomposition Method; Local He’s Variational Iteration Method; Integro-Differential Equations; Closed Form Solution; Modelling of

Key words: Initial Value Problems; Local Adomian Decomposition Method; Local He’s Variational Iteration Method; Integro-Differential Equations; Closed Form Solution; Modelling of

c International Institute for Symmetry Analysis and Mathematical Modelling, Department of Mathematical Sciences, North-West University, Mafikeng Campus, Private Bag X 2046,

Recently, the variational iteration method (VIM), introduced by He (see [1, 2] and references therein), which gives rapidly convergent successive approximations of the exact solution

(4) Nieto and his colleagues established variational prin- ciples for various impulsive problems [1 – 3]; in this paper we suggest an alternative approach to the estab- lishment of

In this article, two powerful analytical methods called the variational iteration method (VIM) and the variational homotopy perturbation method (VHPM) are introduced to obtain the

The proposed modification is made by introducing He’s polynomials in the correction functional of the variational iteration method (VIM). The use of La- grange multiplier coupled

The results show that the method provides a straightforward and powerful mathematical tool for solving various nonlinear integro-differential equations. Key words: He’s