An approach to the solution of linear system of equations by He's homotopy perturbation method

DOI10.1016/j.chaos.2007.11.020zbMath1198.65056OpenAlexW2089659700MaRDI QIDQ602299

Bagher Keramati

Publication date: 4 November 2010

Published in: Chaos, Solitons and Fractals (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/j.chaos.2007.11.020

Mathematics Subject Classification ID

Direct numerical methods for linear systems and matrix inversion (65F05) Software, source code, etc. for problems pertaining to linear algebra (15-04)

Related Items (10)

An algorithm with \(m\)-step residual history for solving linear equations: data interpolation by a multi-shape-factors RBF ⋮ Application of homotopy perturbation methods for solving systems of linear equations ⋮ Generalized approximation method and a thin film flow of a third grade fluid on a moving belt ⋮ Application of homotopy perturbation method for fuzzy linear systems and comparison with Adomian's decomposition method ⋮ On the application of homotopy perturbation method for solving systems of linear equations ⋮ Some techniques for solving absolute value equations ⋮ Homotopy perturbation method for linear programming problems ⋮ Convergent homotopy analysis method for solving linear systems ⋮ An improvement to homotopy perturbation method for solving system of linear equations ⋮ Unnamed Item

Cites Work

• An explicit, totally analytic approximate solution for Blasius' viscous flow problems
• Modified homotopy perturbation method for solving Fredholm integral equations
• A new branch of solutions of boundary-layer flows over an impermeable stretched plate
• A kind of approximation solution technique which does not depend upon small parameters. II: An application in fluid mechanics
• A coupling method of a homotopy technique and a perturbation technique for nonlinear problems
• Homotopy perturbation method: a new nonlinear analytical technique
• Comparison of homotopy perturbation method and homotopy analysis method
• An approximate solution technique not depending on small parameters: A special example
• Homotopy perturbation technique
• Application of homotopy perturbation method to nonlinear wave equations

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