A new iterative numerical continuation technique for approximating the solutions of scalar nonlinear equations (Q1653539)

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scientific article; zbMATH DE number 6913876
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A new iterative numerical continuation technique for approximating the solutions of scalar nonlinear equations
scientific article; zbMATH DE number 6913876

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    A new iterative numerical continuation technique for approximating the solutions of scalar nonlinear equations (English)
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    6 August 2018
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    Summary: The present study concerns the development of a new iterative method applied to a numerical continuation procedure for parameterized scalar nonlinear equations. Combining both a modified Newton's technique and a stationary-type numerical procedure, the proposed method is able to provide suitable approximate solutions associated with scalar nonlinear equations. A numerical analysis of predictive capabilities of this new iterative algorithm is addressed, assessed, and discussed on some specific examples.
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