Application of Homotopy Perturbation Method for Ecosystems Modelling

DOI10.1007/978-3-540-88073-8_5zbMath1162.34309OpenAlexW105462024MaRDI QIDQ3613275

Cyrille Bertelle, Zaid M. Odibat

Publication date: 12 March 2009

Published in: Understanding Complex Systems (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/978-3-540-88073-8_5

zbMATH Keywords

ecosystemsvariational iteration methodhomotopy perturbation methodadomian decomposition method

Mathematics Subject Classification ID

Theoretical approximation of solutions to ordinary differential equations (34A45) Population dynamics (general) (92D25) Analytical theory of ordinary differential equations: series, transformations, transforms, operational calculus, etc. (34A25)

Cites Work

• The homotopy perturbation method for nonlinear oscillators with discontinuities.
• A coupling method of a homotopy technique and a perturbation technique for nonlinear problems
• Application of He's homotopy perturbation method to Volterra's integro-differential equation
• Homotopy perturbation method for bifurcation of nonlinear problems
• Couette and Poiseuille flows for non-Newtonian fluids
• Homotopy perturbation method: a new nonlinear analytical technique
• Asymptotology by homotopy perturbation method
• Comparison of homotopy perturbation method and homotopy analysis method
• Periodic solutions and bifurcations of delay-differential equations
• Homotopy perturbation method for solving boundary value problems
• Homotopy perturbation technique
• Homotopy perturbation method for quadratic Riccati differential equation and comparison with Adomian's decomposition method
• Emergent properties in natural and artificial dynamical systems.
• Numerical methods for nonlinear partial differential equations of fractional order
• Limit cycle and bifurcation of nonlinear problems
• Application of homotopy perturbation method to nonlinear wave equations
• Numerical solutions of the integral equations: homotopy perturbation method and Adomian's decomposition method
• Modified homotopy perturbation method: Application to quadratic Riccati differential equation of fractional order
• SOME ASYMPTOTIC METHODS FOR STRONGLY NONLINEAR EQUATIONS

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