Relationship between the homotopy analysis method and harmonic balance method
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Publication:720070
DOI10.1016/j.cnsns.2009.08.004zbMath1222.65083OpenAlexW2042675423MaRDI QIDQ720070
Publication date: 13 October 2011
Published in: Communications in Nonlinear Science and Numerical Simulation (Search for Journal in Brave)
Full work available at URL: https://doi.org/10.1016/j.cnsns.2009.08.004
Theoretical approximation of solutions to ordinary differential equations (34A45) Numerical methods for ordinary differential equations (65L99)
Related Items (3)
Homotopy analysis method for nonlinear dynamical system of an electrostatically actuated microcantilever ⋮ Atangana–Baleanu Derivative with Fractional Order Applied to the Gas Dynamics Equations ⋮ Predictor homotopy analysis method and its application to some nonlinear problems
Cites Work
- A study of homotopy analysis method for limit cycle of van der Pol equation
- Soliton solutions for the fifth-order KdV equation with the homotopy analysis method
- An explicit, totally analytic approximate solution for Blasius' viscous flow problems
- Nonlinear stochastic differential equations
- A kind of approximation solution technique which does not depend upon small parameters. II: An application in fluid mechanics
- On the homotopy analysis method for nonlinear problems.
- An approximate solution technique not depending on small parameters: A special example
- Homotopy analysis method for quadratic Riccati differential equation
- An analytic solution of unsteady boundary-layer flows caused by an impulsively stretching plate
- Perturbation Analysis of the Limit Cycle of the Free van der Pol Equation
- A Second-Order Approximate Analytical Solution of a Simple Pendulum by the Process Analysis Method
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