Enhanced multistage homotopy perturbation method: approximate solutions of nonlinear dynamic systems

DOI10.1155/2014/486509zbMath1470.65129OpenAlexW2013655812WikidataQ59038682 ScholiaQ59038682MaRDI QIDQ1724230

Alex Elías-Zúñiga, Daniel Olvera

Publication date: 14 February 2019

Published in: Abstract and Applied Analysis (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1155/2014/486509

Mathematics Subject Classification ID

Theoretical approximation of solutions to ordinary differential equations (34A45) Nonlinear ordinary differential equations and systems (34A34) Numerical methods for initial value problems involving ordinary differential equations (65L05)

Related Items (2)

Approximate solutions of delay differential equations with constant and variable coefficients by the enhanced multistage homotopy perturbation method ⋮ The multistage homotopy perturbation method for solving chaotic and hyperchaotic Lü system

Cites Work

• Unnamed Item
• Exact solution of the quadratic mixed-parity Helmholtz-Duffing oscillator
• Application of multistage homotopy perturbation method to the chaotic Genesio system
• Adaptation of homotopy-perturbation method for numeric-analytic solution of system of ODEs
• Some issues on HPM and HAM methods: a convergence scheme
• Maintaining the stability of nonlinear differential equations by the enhancement of HPM
• A review of some recent results for the approximate analytical solutions of nonlinear differential equations
• New iteration methods for time-fractional modified nonlinear Kawahara equation
• Homotopy perturbation method: a new nonlinear analytical technique
• Comparison of homotopy perturbation method and homotopy analysis method
• Homotopy perturbation technique
• Homotopy perturbation method for quadratic Riccati differential equation and comparison with Adomian's decomposition method
• Iterated He's homotopy perturbation method for quadratic Riccati differential equation
• A new modification of the homotopy perturbation method for linear and nonlinear operators
• Comparison between the homotopy analysis method and homotopy perturbation method
• Beyond Perturbation
• On The Elliptic Balance Method
• SOME ASYMPTOTIC METHODS FOR STRONGLY NONLINEAR EQUATIONS
• A review of the decomposition method and some recent results for nonlinear equations

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