Comparison between the variational iteration method and the homotopy perturbation method for the Sturm-Liouville differential equation

DOI10.1155/2010/317369zbMath1191.65107OpenAlexW2072797550WikidataQ59254177 ScholiaQ59254177MaRDI QIDQ978479

Rahmat Darzi, Abdolali Neamaty

Publication date: 24 June 2010

Published in: Boundary Value Problems (Search for Journal in Brave)

Full work available at URL: https://eudml.org/doc/225259

zbMATH Keywords

comparison of methodsnumerical examplesvariational iteration methodhomotopy perturbationlinear and nonlinear problemsSturm-Liouville eigenvalue and boundary value problems

Mathematics Subject Classification ID

Nonlinear boundary value problems for ordinary differential equations (34B15) Numerical solution of boundary value problems involving ordinary differential equations (65L10) Nonlocal and multipoint boundary value problems for ordinary differential equations (34B10) Numerical approximation of eigenvalues and of other parts of the spectrum of ordinary differential operators (34L16) Numerical solution of eigenvalue problems involving ordinary differential equations (65L15)

Related Items (3)

Analysis of the new homotopy perturbation method for linear and nonlinear problems ⋮ Numerical treatment of the generalized time-fractional Huxley-Burgers' equation and its stability examination ⋮ Theoretical and computational perspectives on the eigenvalues of fourth-order fractional Sturm–Liouville problem

Cites Work

• Variational iteration method for solving Burgers and coupled Burgers equations
• Application of He's variational iteration method to Helmholtz equation
• Variational iteration method -- a kind of non-linear analytical technique: Some examples
• Solitary wave solutions for a generalized Hirota-Satsuma coupled KdV equation by homotopy perturbation method
• The homotopy perturbation method for nonlinear oscillators with discontinuities.
• Variational principles for some nonlinear partial differential equations with variable coefficients
• 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
• Approximate analytical solution for seepage flow with fractional derivatives in porous media
• Approximate solution of nonlinear differential equations with convolution product nonlinearities
• Homotopy perturbation method: a new nonlinear analytical technique
• 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
• New applications of variational iteration method
• An iteration formulation for normalized diode characteristics
• Variational iteration method for autonomous ordinary differential systems

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