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Constructing an efficient multi-step iterative scheme for nonlinear system of equations. (English) Zbl 07468460

Summary: 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.

MSC:

65-XX Numerical analysis
41A15 Spline approximation
65H10 Numerical computation of solutions to systems of equations

Software:

Mathematica
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References:

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