A general approach to specific second order ordinary differential equations using homotopy perturbation method

DOI10.1016/j.physleta.2008.05.070zbMath1221.34030OpenAlexW1980358876MaRDI QIDQ717009

Sifat Hussain, Arif Rafiq, Munshoor Ahmed

Publication date: 27 September 2011

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

Full work available at URL: https://doi.org/10.1016/j.physleta.2008.05.070

zbMATH Keywords

homotopy perturbation methodsecond order ordinary differential equations

Mathematics Subject Classification ID

Nonlinear ordinary differential equations and systems (34A34) Global methods, including homotopy approaches to the numerical solution of nonlinear equations (65H20)

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Cites Work

• Solutions of a class of singular second-order IVPs by homotopy-perturbation method
• Solutions of singular IVPs of Lane-Emden type by homotopy perturbation method
• Modified Adomian decomposition method for specific second order ordinary differential equations
• Variational iteration method: New development and applications
• Application of He's homotopy perturbation method to Volterra's integro-differential equation
• Couette and Poiseuille flows for non-Newtonian fluids
• He's homotopy perturbation method for calculating Adomian polynomials
• Approximate analytical solution for seepage flow with fractional derivatives in porous media
• The homotopy-perturbation method applied for solving complex-valued differential equations with strong cubic nonlinearity
• Modified decomposition solution of linear and nonlinear boundary-value problems
• SOME ASYMPTOTIC METHODS FOR STRONGLY NONLINEAR EQUATIONS