Constructing an efficient multi-step iterative scheme for nonlinear system of equations

Message:
Article Type:
Research/Original Article (دارای رتبه معتبر)
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 efficiency index to be high as well in contrast to the existing solvers. The usefulness of the presented approach for tackling differential equations of nonlinear type with partial derivatives is also given.
Language:
English
Published:
Computational Methods for Differential Equations, Volume:9 Issue: 3, Summer 2021
Pages:
710 to 721
https://www.magiran.com/p2297436