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A MODIFIED INEXACT NEWTON METHOD
Huang, Pengzhan,Abduwali, Abdurishit The Korean Society for Computational and Applied M 2015 Journal of applied mathematics & informatics Vol.33 No.1
In this paper, we consider a modified inexact Newton method for solving a nonlinear system F(x) = 0 where $F(x):R^n{\rightarrow}R^n$. The basic idea is to accelerate convergence. A semi-local convergence theorem for the modified inexact Newton method is established and an affine invariant version is also given. Moreover, we test three numerical examples which show that the modified inexact scheme is more efficient than the classical inexact Newton strategy.
A NUMERICAL METHOD FOR SOLVING ALLEN-CAHN EQUATION
Huang, Pengzhan,Abduwali, Abdurishit The Korean Society for Computational and Applied M 2011 Journal of applied mathematics & informatics Vol.29 No.5
We propose a numerical method for solving Allen-Cahn equation, in both one-dimensional and two-dimensional cases. The new scheme that is explicit, stable, and easy to compute is obtained and the proposed method provides a straightforward and effective way for nonlinear evolution equations.
A NUMERICAL METHOD FOR SOLVING ALLEN-CAHN EQUATION
Pengzhan Huang,Abdurishit Abduwali 한국전산응용수학회 2011 Journal of applied mathematics & informatics Vol.29 No.5
We propose a numerical method for solving Allen-Cahn equation, in both one-dimensional and two-dimensional cases. The new scheme that is explicit, stable, and easy to compute is obtained and the proposed method provides a straightforward and effective way for nonlinear evolution equations.
A Modified Inexact Newton Method
Pengzhan Huang,Abdurishit Abduwali 한국전산응용수학회 2015 Journal of applied mathematics & informatics Vol.33 No.1
In this paper, we consider a modified inexact Newton method forsolving a nonlinear system $F(x) = 0$ where $F(x):R^n\r R^n$. Thebasic idea is to accelerate convergence. A semi-local convergencetheorem for the modified inexact Newton method is established and anaffine invariant version is also given. Moreover, we test threenumerical examples which show that the modified inexact scheme ismore efficient than the classical inexact Newton strategy.