Modified Jacobian Newton Iterative Method: Theory and Applications
2009 ◽
Vol 2009
◽
pp. 1-24
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Keyword(s):
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.
2010 ◽
Vol 36
(9)
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pp. 1232-1238
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2004 ◽
Vol 152
(3)
◽
pp. 799-806
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2021 ◽
Vol 190
(3)
◽
pp. 779-810
2014 ◽
Vol 153
(2)
◽
pp. 715-722
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Keyword(s):
1994 ◽
pp. 70-78
◽