Approximate solutions for the nonlinear pendulum equation using a rational harmonic representation
DOI10.1016/j.camwa.2012.01.007zbMath1268.70005OpenAlexW2100947324MaRDI QIDQ356013
Enrique Arribas, Inmaculada Pascual, Augusto Beléndez, Sergi Gallego, Manuel Ortuño, Andres Márquez Ruiz
Publication date: 25 July 2013
Published in: Computers \& Mathematics with Applications (Search for Journal in Brave)
Full work available at URL: https://doi.org/10.1016/j.camwa.2012.01.007
tensionapproximate solutionsPadé approximantsnonlinear pendulum equationrational harmonic representation
Theoretical approximation of solutions to ordinary differential equations (34A45) Numerical methods for initial value problems involving ordinary differential equations (65L05) Motion of a rigid body with a fixed point (70E17)
Related Items (7)
Cites Work
- Unnamed Item
- Analytical approximation to large-amplitude oscillation of a non-linear conservative system
- A new method for approximate analytical solutions to nonlinear oscillations of nonnatural systems
- Improved Lindstedt–Poincaré method for the solution of nonlinear problems
- An anharmonic solution to the equation of motion for the simple pendulum
- Improvements in the approximate formulae for the period of the simple pendulum
- The exact equation of motion of a simple pendulum of arbitrary amplitude: a hypergeometric approach
- Accurate analytic approximation to the nonlinear pendulum problem
- An approximate expression for the large angle period of a simple pendulum
- Application of the homotopy perturbation method to the nonlinear pendulum
- Simple ‘log formulae’ for pendulum motion valid for any amplitude
- An approximate solution to the equation of motion for large-angle oscillations of the simple pendulum with initial velocity
- Higher accurate approximate solutions for the simple pendulum in terms of elementary functions
- Cubication of conservative nonlinear oscillators
- Using continuous measurement to protect a universal set of quantum gates within a perturbed decoherence-free subspace
- Approximate expressions for the period of a simple pendulum using a Taylor series expansion
- Letter to the Editor
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