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He's variational iteration method is applied to fourth-order parabolic partial differential equations with variable coefficients. To illustrate the ability and reliability of the method, some… Expand
In this article we use Adomian decomposition method, which is a well-known method for solving functional equations now-a-days, to solve systems of differential equations of the first order and an… Expand
Abstract In this paper, the He’s homotopy perturbation method is applied to solve systems of Volterra integral equations of the second kind. Some examples are presented to illustrate the ability of… Expand
Abstract In this article, the homotopy perturbation method [He JH. Homotopy perturbation technique. Comput Meth Appl Mech Eng 1999;178:257–62; He JH. A coupling method of homotopy technique and… Expand
In this paper, we contemplate the order of convergence of the Decomposition method, and we apply the results to some problems.
In this article variational iteration method (VIM), established by He in (1999), is considered to solve nonlinear Bergur's equation. This method is a powerful tool for solving a large number of… Expand
In this paper, we modify the standard Adomian method for solution of the nonlinear equation f(x)=0. Four examples are presented and compared using standard and modified Adomian methods.
In this article, we consider linear and non-linear systems of integral equations of the first kind. The problem of existence and uniqueness are considered. The Adomian decomposition method is being… Expand
In this article the problem of the spread of a non-fatal disease in a population which is assumed to have constant size over the period of the epidemic is considered. Mathematical modeling of the… Expand
In this article a mathematical model of the problem of prey and predator being presented and Adomian decomposition method is employed to compute an approximation to the solution of the system of… Expand