Modified HPMs inspired by homotopy continuation methods

DOI10.1155/2012/309123zbMath1264.65131OpenAlexW2001916833WikidataQ58911414 ScholiaQ58911414MaRDI QIDQ1954641

Arturo Sarmiento-Reyes, Hector Vazquez-Leal, Roberto Castañeda-Sheissa, Luis Hernández-Martínez, U. A. Filobello-Nino

Publication date: 11 June 2013

Published in: Mathematical Problems in Engineering (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1155/2012/309123

Mathematics Subject Classification ID

Theoretical approximation of solutions to ordinary differential equations (34A45) Numerical methods for ordinary differential equations (65L99)

Related Items (14)

Fixed-term homotopy ⋮ Rational Approximations for Heat Radiation and Troesch’s Equations ⋮ Rational biparameter homotopy perturbation method and Laplace-Padé coupled version ⋮ A general solution for Troesch's problem ⋮ Approximations for large deflection of a cantilever beam under a terminal follower force and nonlinear pendulum ⋮ Analytical solutions for systems of singular partial differential-algebraic equations ⋮ Nonlinearities distribution homotopy perturbation method applied to solve nonlinear problems: Thomas-Fermi equation as a case study ⋮ Rational homotopy perturbation method ⋮ Laplace transform-homotopy perturbation method with arbitrary initial approximation and residual error cancelation ⋮ Generalized homotopy method for solving nonlinear differential equations ⋮ Piece-wise-polynomial method ⋮ Exploring a piece-wise-nonlinear method ⋮ Rational homotopy perturbation method for solving stiff systems of ordinary differential equations ⋮ Laplace transform-homotopy perturbation method as a powerful tool to solve nonlinear problems with boundary conditions defined on finite intervals

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