A new algorithm for solving differential equations

DOI10.1002/mma.1601zbMath1255.34012OpenAlexW2077290574MaRDI QIDQ2905699

P. Gholamin, Jafar Biazar, Reza Ansari, Kamyar Hosseini

Publication date: 28 August 2012

Published in: Mathematical Methods in the Applied Sciences (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1002/mma.1601

zbMATH Keywords

Riccati equationanalytic methodslogistic differential equationLane-Emden equation of index \(m\)

Mathematics Subject Classification ID

Theoretical approximation of solutions to ordinary differential equations (34A45) Nonlinear ordinary differential equations and systems (34A34) Analytical theory of ordinary differential equations: series, transformations, transforms, operational calculus, etc. (34A25)

Related Items (6)

Analytic approximation of Volterra's population model ⋮ Unnamed Item ⋮ An efficient pseudospectral method for numerical solution of nonlinear singular initial and boundary value problems arising in astrophysics ⋮ Steady natural convection Couette flow with wall conduction and thermal boundary condition of third kind ⋮ An analytical approach for systems of fractional differential equations by means of the innovative homotopy perturbation method ⋮ Four techniques based on the B-spline expansion and the collocation approach for the numerical solution of the Lane-Emden equation

Cites Work

• An efficient approach for solving the Riccati equation with fractional orders
• The homotopy analysis method for multiple solutions of nonlinear boundary value problems
• Variational iteration method -- a kind of non-linear analytical technique: Some examples
• The application of homotopy analysis method to nonlinear equations arising in heat transfer
• Solution of delay differential equations via a homotopy perturbation method
• Variational iteration method for solving a generalized pantograph equation
• The variational iteration method for analytic treatment for linear and nonlinear ODEs
• A new analytic algorithm of Lane--Emden type equations
• A coupling method of a homotopy technique and a perturbation technique for nonlinear problems
• Homotopy perturbation method: a new nonlinear analytical technique
• Homotopy perturbation technique
• An analytical approach to investigate the response and stability of Van der Pol-Mathieu-Duffing oscillators under different excitation functions
• A new algorithm for solving differential equations of Lane-Emden type

This page was built for publication: A new algorithm for solving differential equations