General Letters in Mathematics

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Modified variational iteration and homotopy analysis method for solving variable coefficient variant boussinesq system

Fadhil H. Easif , Saad A. Manaa , Ahmed J. Sabali

In this paper, Modified Variational Iteration Method (MVIM) and Homotopy Analysis Method (HAM) are used to find approximate solutions for the Variable-Coefficient Variant Boussinesq System the (VCVB) system is able to describe the nonlinear and dispersive long gravity waves in shallow water traveling ...

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Taylor approximation for solving linear and nonlinear Ill-Posed Volterra equations via an iteration method

Somia GUECHI , Moufida GUECHI

In this paper, we present two algorithms for the approximate or exact solution of a class of Volterra integral equations of first kind. As well known, this is an ill posed problem, but we convert it to well-posedness of the second kind Volterra problems, then we apply the variational iteration method. ...

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