Analysis of a non-linear system by a new technique based on the Continuation method

Seifedine Kadry

doi:10.1016/j.amc.2006.09.039

Analysis of a non-linear system by a new technique based on the Continuation method

Seifedine Kadry

IFMA

Research output: Contribution to journal › Article › peer-review

Abstract

The Continuation method is illustrated to solve the non-linear differential system. A technique was proposed to get the best possible partition of [0, 1] for this method. This technique searches for a set of {t_i} ∈ [0, 1] involving a passage from 0 to 1 with minimum operations and acceptable solution.

Original language	English
Pages (from-to)	1298-1307
Number of pages	10
Journal	Applied Mathematics and Computation
Volume	187
Issue number	2
DOIs	https://doi.org/10.1016/j.amc.2006.09.039
State	Published - 15 Apr 2007
Externally published	Yes

Keywords

Continuation method
Newton method
Numerical analysis and non-linear partial differential equation

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10.1016/j.amc.2006.09.039

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title = "Analysis of a non-linear system by a new technique based on the Continuation method",

abstract = "The Continuation method is illustrated to solve the non-linear differential system. A technique was proposed to get the best possible partition of [0, 1] for this method. This technique searches for a set of \{ti\} ∈ [0, 1] involving a passage from 0 to 1 with minimum operations and acceptable solution.",

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KW - Newton method

KW - Numerical analysis and non-linear partial differential equation

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JO - Applied Mathematics and Computation

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Analysis of a non-linear system by a new technique based on the Continuation method

Abstract

Keywords

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