Global ETD Search
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Showing 1 to 4 of 4 for “"Homotopy Perturbation"”.
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Solving the volterra integral form of the lane emden equations by homotopy perturbation method and adomian decompostion method
In this research, Homotopy Perturbation Method(HPM) and Adomian Decomposition Method(ADM), as two known methods, is analyzed for solving Volterra integral from of the Lane-Emden equations. The result from both method are compared with the exact solution. It has been shown that these two methods are …
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Analytical approach to unidirectional flow of non-Newtonian fluids of differential type
… fluid are derived using Laplace transform, perturbation and variable separation techniques, while for the third-grade fluid are derived using symmetry reduction and new modified homotopy perturbation method (HPM). For a horizontal channel, a new analytical algorithm to solve transient flow …
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Optimal Control of Weakly Forced Nonlinear Oscillators
… Robust computational methods based on homotopy perturbation techniques and pseudospectral approximations are developed and implemented to construct optimal controls for spiking and synchronizing a neuron ensemble, for which analytical solutions are intractable. We finally validate the …
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A study of flow and heat transfer of nanofluids: between two parallel plates, over a wedge and past a stretching sheet
… The solutions are obtained by using homotopy perturbation method (HPM) and fourth-order Runge-Kutta with shooting technique (RK4). The flow of nanofluids over a wedge leads to the derivation of the Falkner-Skan equation and this problem have been solved using the optimal homotopy …