Extension of Khan's homotopy transformation method via optimal parameter for differential difference equations

DOI10.1155/2014/813474zbMath1442.65320OpenAlexW1992485283WikidataQ59052534 ScholiaQ59052534MaRDI QIDQ2336742

Mohamed S. Mohamed, Nouf Altalhi, Khaled A. Gepreel, Faisal A. Al-Malki

Publication date: 19 November 2019

Published in: Journal of Applied Mathematics (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1155/2014/813474

Mathematics Subject Classification ID

Numerical methods for partial differential equations, initial value and time-dependent initial-boundary value problems (65M99)

Cites Work

• On the coupling of the homotopy perturbation method and Laplace transformation
• Homotopy perturbation transform method for nonlinear equations using He's polynomials
• An auxiliary parameter method using Adomian polynomials and Laplace transformation for nonlinear differential equations
• The variational iteration method: a powerful scheme for handling linear and nonlinear diffusion equations
• The homotopy analysis method for solving the fornberg-whitham equation and comparison with Adomian's decomposition method
• A coupling method of a homotopy technique and a perturbation technique for nonlinear problems
• Removal of noise oscillation term appearing in the nonlinear equation solution
• Exact solutions for nonlinear differential difference equations in mathematical physics
• The modified rational Jacobi elliptic functions method for nonlinear differential difference equations
• Homotopy perturbation method for solving boundary value problems
• Application of homotopy perturbation method to nonlinear wave equations
• He's homotopy perturbation method for nonlinear differential-difference equations
• Jacobi Elliptic Numerical Solutions for the Time Fractional Variant Boussinesq Equations

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