Combination of modified Lindstedt-Poincare and homotopy perturbation methods
Md. Shamsul Alam, Nazmul Sharif, Md. Helal Uddin Molla
Abstract
Some strongly nonlinear oscillators have been investigated with the help of combined modified Lindstedt–Poincare and homotopy perturbation methods. The solutions are more accurate than those obtained by the modified Lindstedt–Poincare method. Moreover, the determination of solutions is simpler than usual homotopy perturbation methods. Some similarities and dissimilarities between the present method and other existing methods have also been discussed.
Topics & Concepts
Poincaré conjectureHomotopy perturbation methodPerturbation (astronomy)Homotopy analysis methodMathematicsNonlinear systemPoincaré–Lindstedt methodHomotopyMathematical analysisPoincaré mapApplied mathematicsPure mathematicsPhysicsSingular perturbationBifurcationQuantum mechanicsFractional Differential Equations SolutionsIterative Methods for Nonlinear EquationsNonlinear Waves and Solitons