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.