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Computational method for singularly perturbed delay differential equations with twin layers or oscillatory behaviour

(in lingua inglese)

We have discussed a computational technique for singularly perturbed delay differential equations with twin layer or oscillatory behaviour. In this problem, the delay is not in the differentiated term. In this method, we have transformed the second order singularly perturbed delay differential equation into an asymptotically equivalent first order neutral type delay differential equation and employed the Trapezoidal rule. Then, linear interpolation is used to get tridiagonal relation which is solved easily by method of invariant imbedding algorithm. The method is demonstrated by implementing on several model examples by taking various values for the delay parameter and perturbation parameter.

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Articolo Ain Shams Engineering Journal, 2014




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