A novel bi-parametric sixth order iterative scheme for solving nonlinear systems and its dynamics

DOI10.1016/j.amc.2019.04.003zbMath1429.65103OpenAlexW2939885020WikidataQ128118024 ScholiaQ128118024MaRDI QIDQ2009582

Ashu Bahl, Rajni Sharma, Alicia Cordero, Juan Ramón Torregrosa Sánchez

Publication date: 29 November 2019

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

Full work available at URL: https://doi.org/10.1016/j.amc.2019.04.003

zbMATH Keywords

stabilitynonlinear systemsiterative methodscomplex dynamicsbasins of attractionparameter plane

Mathematics Subject Classification ID

Numerical computation of solutions to systems of equations (65H10) Dynamics of complex polynomials, rational maps, entire and meromorphic functions; Fatou and Julia sets (37F10) Stability theory for difference equations (39A30)

Related Items (7)

Higher order Jarratt-like iterations for solving systems of nonlinear equations ⋮ Larger convergence regions for an efficient two-step iterative method ⋮ Construction and Dynamics of Efficient High-Order Methods for Nonlinear Systems ⋮ A computationally efficient sixth-order method for nonlinear models ⋮ A finite point method for solving the time fractional Richards' equation ⋮ On the effect of the multidimensional weight functions on the stability of iterative processes ⋮ Reduced cost numerical methods of sixth-order convergence for systems of nonlinear models

Uses Software

• Mathematica

Cites Work

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