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The modified homotopy perturbation method for solving strongly nonlinear oscillators
(
Elsevier
, 2009 , Article)
In this paper we propose a reliable algorithm for the solution of nonlinear oscillators. Our algorithm is based upon the homotopy perturbation method (HPM), Laplace transforms, and Padé approximants. This modified homotopy ...
An efficient dynamical systems method for solving singularly perturbed integral equations with noise
(
Elsevier
, 2009 , Article)
In this paper we apply the dynamical systems method (DSM) proposed by A. G. Ramm, and the variational regularization method (VRM), to obtain numerical solution to some singularly perturbed ill-posed problems contaminated ...