Improving Newton-Raphson method for nonlinear equations by modified Adomian decomposition method

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Publication:1412499

DOI10.1016/S0096-3003(03)00282-0zbMath1032.65048OpenAlexW2109195981MaRDI QIDQ1412499

Saeid Abbasbandy

Publication date: 25 November 2003

Published in: Applied Mathematics and Computation (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/s0096-3003(03)00282-0




Modified homotopy perturbation method for nonlinear equations and comparison with Adomian decomposition methodA new formula of solving nonlinear equations by Adomian and homotopy methodsNumerical study of modified Adomian's method applied to Burgers equationA note on some iterative schemes for nonlinear equationsFifth-order iterative methods for solving nonlinear equationsSome third-order families of iterative methods for solving nonlinear equationsPredictor-corrector Halley method for nonlinear equationsNewton-homotopy analysis method for nonlinear equationsOn extending the quasilinearization method to higher order convergent hybrid schemes using the spectral homotopy analysis methodLocal convergence for a family of iterative methods based on decomposition techniquesTime fractional capital-induced labor migration modelIterative methods with fourth-order convergence for nonlinear equationsA reinforced exploration mechanism whale optimization algorithm for continuous optimization 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