Highly efficient iterative algorithms for solving nonlinear systems with arbitrary order of convergence \(p + 3\), \(p \geq 5\)

DOI10.1016/j.cam.2017.02.032zbMath1376.65084OpenAlexW2596604365MaRDI QIDQ1676006

Alicia Cordero, Esther Sanabria-Codesal, Cristina Jordán Lluch, Juan Ramón Torregrosa Sánchez

Publication date: 3 November 2017

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

Full work available at URL: https://doi.org/10.1016/j.cam.2017.02.032

zbMATH Keywords

convergencenonlinear systemsnumerical examplesiterative methodfinite differencesdiffusion problemnumerical comparisonsFisher's equationefficiency indexheat conduction equations

Mathematics Subject Classification ID

Numerical computation of solutions to systems of equations (65H10) Nonlinear parabolic equations (35K55) Finite difference methods for initial value and initial-boundary value problems involving PDEs (65M06) Complexity and performance of numerical algorithms (65Y20)

Related Items (4)

On the convergence of a novel seventh convergence order schemes for solving equations ⋮ Mathematical modeling and computational methods ⋮ A new efficient parametric family of iterative methods for solving nonlinear systems ⋮ On a novel seventh convergence order method for solving nonlinear equations and its extensions

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