Split Newton iterative algorithm and its application

DOI10.1016/j.amc.2010.07.026zbMath1202.65066OpenAlexW1999341506MaRDI QIDQ606762

Dongfang Li, Cheng-Jian Zhang

Publication date: 18 November 2010

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

Full work available at URL: https://doi.org/10.1016/j.amc.2010.07.026

zbMATH Keywords

convergenceconsistencyfinite difference methodnumerical examplesnonlinear reaction-diffusion equationscomputational efficiencyFisher's equationBurgers-Huxley equationsplit Newton iterative algorithm

Mathematics Subject Classification ID

Numerical computation of solutions to systems of equations (65H10) Reaction-diffusion equations (35K57) Finite difference methods for initial value and initial-boundary value problems involving PDEs (65M06) Complexity and performance of numerical algorithms (65Y20)

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Uses Software

• NewtonLib

Cites Work

• A spectral domain decomposition approach for the generalized Burger's-Fisher equation
• A new domain decomposition algorithm for generalized Burgers-Huxley equation based on Chebyshev polynomials and preconditioning
• A note on the Adomian decomposition method for the generalized Huxley equation
• Newton's method and its use in optimization
• Linear acceleration of Picard-Lindelöf iteration
• Newton waveform relaxation method for solving algebraic nonlinear equations
• A computational meshless method for the generalized Burger's-Huxley equation
• Singular perturbation analysis of bistable differential equation arising in the nerve pulse propagation
• Dynamic iteration methods applied to linear DAE systems
• Persistence of travelling wave solutions of a fourth order diffusion system
• Euler-Poincaré flows and Leibniz structure of nonlinear reaction-diffusion type systems
• Efficient solution of \(A x^{(k)}= b^{(k)}\) using \(A^{ - 1}\)
• Convergence of Dynamic Iteration Methods for Initial Value Problems
• Inexact Newton Dogleg Methods
• Solitary wave solutions of the generalised Burgers-Huxley equation
• Inexact Newton Methods
• Convergence behaviour of inexact Newton methods
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