Constructing an e, cient multi{step iterative scheme for nonlinear system of equations

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Lot Taher; Momenzadeh Mohammad

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Journal Paper

Paper Information

Journal: Computational Methods for Differential Equations Year:2021 | Volume:9 | Issue:3 Page(s): 710-721

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Information Journal Paper

Title

Constructing an e, cient multi{step iterative scheme for nonlinear system of equations

Author(s)

Lot Taher | Momenzadeh Mohammad | Issue Writer Certificate

Keywords

Iterative methods

high order

nonlinear systems

partial di

erential equations

ciency index

Abstract

The objective of this research is to propose a new multi-step method in tackling a system of nonlinear equations. The constructed iterative scheme achieves a higher rate of convergence whereas only one LU decomposition per cycle is required to proceed. This makes the e, ciency index to be high as well in contrast to the existing solvers. The usefulness of the presented approach for tackling di, erential equations of nonlinear type with partial derivatives is also given.

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APA: Copy

Lot, Taher, & Momenzadeh, Mohammad. (2021). Constructing an e, cient multi{step iterative scheme for nonlinear system of equations. COMPUTATIONAL METHODS FOR DIFFERENTIAL EQUATIONS, 9(3), 710-721. SID. https://sid.ir/paper/1058024/en

Vancouver: Copy

Lot Taher, Momenzadeh Mohammad. Constructing an e, cient multi{step iterative scheme for nonlinear system of equations. COMPUTATIONAL METHODS FOR DIFFERENTIAL EQUATIONS[Internet]. 2021;9(3):710-721. Available from: https://sid.ir/paper/1058024/en

IEEE: Copy

Taher Lot, and Mohammad Momenzadeh, “Constructing an e, cient multi{step iterative scheme for nonlinear system of equations,” COMPUTATIONAL METHODS FOR DIFFERENTIAL EQUATIONS, vol. 9, no. 3, pp. 710–721, 2021, [Online]. Available: https://sid.ir/paper/1058024/en

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