Iterative methods improving Newton's method by the decomposition method
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Publication:814108
DOI10.1016/j.camwa.2005.08.022zbMath1086.65048OpenAlexW1992709107MaRDI QIDQ814108
Publication date: 2 February 2006
Published in: Computers \& Mathematics with Applications (Search for Journal in Brave)
Full work available at URL: https://doi.org/10.1016/j.camwa.2005.08.022
convergencenumerical examplesNewton-Raphson methodnonlinear equationAdomian decomposition methodNewton type methods
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Uses Software
Cites Work
- Unnamed Item
- On the solution of algebraic equations by the decomposition method
- Application of decomposition to hyperbolic, parabolic, and elliptic partial differential equations
- Solving frontier problems of physics: the decomposition method
- Decomposition methods: A new proof of convergence
- Convergence of Adomian's method applied to nonlinear equations
- Some variant of Newton's method with third-order convergence.
- Improving Newton-Raphson method for nonlinear equations by modified Adomian decomposition method
- On Newton-type methods with cubic convergence
- A variant of Cauchy's method with accelerated fifth-order convergence.
- Solution of nonlinear equations by modified Adomian decomposition method
- New ideas for proving convergence of decomposition methods
- A variant of Newton's method with accelerated third-order convergence
- New high-order convergence iteration methods without employing derivatives for solving nonlinear equations
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