Higher-order homotopy perturbation method for conservative nonlinear oscillators generally and microelectromechanical systems’ oscillators particularly
Naveed Anjum, Ji‐Huan He
Abstract
A modification of the homotopy perturbation method is proposed by taking advantage of the enhanced perturbation method and the parameter expanding technology. A generalized oscillatory equation and some nonlinear oscillators as the special cases of this equation are considered as examples to outline the basic properties of the modification, and the result is of high accuracy.
Topics & Concepts
Homotopy perturbation methodPoincaré–Lindstedt methodHomotopy analysis methodNonlinear systemPerturbation (astronomy)HomotopyPerturbation theory (quantum mechanics)Applied mathematicsPhysicsMathematicsMathematical analysisClassical mechanicsQuantum mechanicsPure mathematicsFractional Differential Equations SolutionsIterative Methods for Nonlinear EquationsNanofluid Flow and Heat Transfer