He's variational iteration method applied to the solution of the prey and predator problem with variable coefficients

DOI10.1016/j.physleta.2008.02.073zbMath1220.91003OpenAlexW2045300444WikidataQ115567757 ScholiaQ115567757MaRDI QIDQ637901

Barış Erbaş, Elçin Yusufoğlu (Agadjanov)

Publication date: 6 September 2011

Published in: Physics Letters. A (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/j.physleta.2008.02.073

zbMATH Keywords

Adomian decomposition methodsystem of nonlinear differential equationsvariational iteration methodpower series methodprey and the predator problem

Mathematics Subject Classification ID

(n)-person games, (n>2) (91A06) Nonlinear ordinary differential equations and systems (34A34) Nonlinear higher-order PDEs (35G20) Variational principles of physics (49S05)

Related Items (4)

On a new reliable algorithm ⋮ Convergence analysis of Legendre pseudospectral scheme for solving nonlinear systems of Volterra integral equations ⋮ On some approximate methods for nonlinear models ⋮ An approximation method to solve coupled system ODEs of order second using fuzzy transform

Cites Work

• Unnamed Item
• Solution of problems in calculus of variations via He's variational iteration method
• The variational iteration method for exact solutions of Laplace equation
• On the variational iteration method
• The variational iteration method for solitary patterns solutions of gBBM equation
• Variational iteration method for solving biharmonic equations
• Numerical studies for a multi-order fractional differential equation
• A new approach to the solution of the prey and predator problem and comparison of the results with the Adomian method
• Solvability of the predator and prey system with variable coefficients and comparison of the results with modified decomposition
• The variational iteration method for solving linear and nonlinear systems of PDEs
• Variational iteration method for solving a nonlinear system of second-order boundary value problems
• Application of the variational iteration method to the regularized long wave equation
• Numerical solution of a biological population model using He's variational iteration method
• The variational iteration method for a reliable treatment of the linear and the nonlinear goursat problem
• Variational iteration method for solving two-point boundary value problems
• On the convergence of He's variational iteration method
• A computational method for solution of the prey and predator problem
• Approximate analytical solution for seepage flow with fractional derivatives in porous media
• Solution of the prey and predator problem by homotopy perturbation method
• Solution of the epidemic model by Adomian decomposition method
• A numerical simulation and explicit solutions of KdV-Burgers' and Lax's seventh-order KdV equations
• Variational Theory for Linear Magneto-Electro-Elasticity
• Application of variational iteration method to a general Riccati equation
• SOME ASYMPTOTIC METHODS FOR STRONGLY NONLINEAR EQUATIONS

This page was built for publication: He's variational iteration method applied to the solution of the prey and predator problem with variable coefficients