Solving nth-Order Integro-Differential Equations Using the Combined Laplace Transform- homotopy perturbation Method

Solving nth-Order Integro-Differential Equations Using the Combined Laplace Transform- homotopy perturbation Method

In this paper , the Combined Laplace Transform- homotopy perturbation Method is used to solve nthorder integro-differential equations . The results show that the method is very simple and effective.Comparisonn with exact solution shows that the method is very effective and convenient for solvingintegral equations. ...

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Solving nonlinear Volterra integro-differential equations via improvement of variational iteration method

Solving nonlinear Volterra integro-differential equations via improvement of variational iteration method

In this paper an efficient numerical method is proposed for solving the specific nonlinear Volterra integro-differential equation which is a combination of the variation iteration method and the spectral collocation method. This method is easy to implement and possesses the high-order accuracy. Illustrative examples are provided to illustrate the validity and reliability of the propose method. Numerical results obtained are compared favorably with the exact solutions. ...

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