The Laplace transform as an alternative general method for solving linear ordinary differential equations

Convergence of the multistage variational iteration method for solving a general system of ordinary differential equations

In this paper, the multistage variational iteration method is implemented to solve a general form of the system of first-order differential equations. The convergence of the proposed method is given. To illustrate the proposed method, it is applied to a model for HIV infection of CD4+ T cells and the numerical results are compared with those of a recently proposed method.

Differential Transform Method for Solving Linear and Nonlinear Systems of Ordinary Differential Equations

In this study,differential transform method (DTM) is applied to linear and nonlinear system of ordinary differential equations. If the system considered has a solution in terms of the series expansion of known functions,this powerful method catches the exact solution.So as to show this capability and robustness, some systems of ordinary differential equations are solved as numerical examples.

On the Laplace transform decomposition algorithm for solving nonlinear differential equations

Modified Laplace Decomposition Method for Singular IVPs in the second-Order Ordinary Differential Equations

  In this paper, we use modified Laplace decomposition method to solving initial value problems (IVP) of the second order ordinary differential equations. Theproposed method can be applied to linear and nonlinearproblems    

General linear methods for ordinary differential equations

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