Modified Jacobian Newton Iterative Method: Theory and Applications

Jürgen Geiser

Mathematical Problems in Engineering, 2009, vol. 2009, 1-24

Abstract:

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.

Date: 2009
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Persistent link: https://EconPapers.repec.org/RePEc:hin:jnlmpe:307298

DOI: 10.1155/2009/307298

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