2009-01-01Zeitschriftenartikel DOI: 10.1155/2009/307298
Modified Jacobian Newton Iterative Method
Theory and Applications
Mathematisch-Naturwissenschaftliche Fakultät II
This article proposes a new approach to the construction of a linearization method based on the iterative operator-splitting method for nonlinear differential equations. The convergence properties of such a method are studied. The main features of the proposed idea are the linearization of nonlinear equations and the application of iterative splitting methods. We present an iterative operator-splitting method with embedded Newton methods to solve nonlinearity. We confirm with numerical applications the effectiveness of the proposed iterative operator-splitting method in comparison with the classical Newton methods. We provide improved results and convergence rates.
Dateien zu dieser Publikation
Is Part Of Series: Mathematical Problems in Engineering, 2009, 2009, pp 1-24, http://www.hindawi.com/journals/mpe/