Computing Zeros of Nonlinear Univariate Functions

Keskïn, Ali

doi:10.1007/978-3-030-21080-9_1

Boundary Value Problems for Engineers 2019

DOI: 10.1007/978-3-030-21080-9_1

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Computing Zeros of Nonlinear Univariate Functions

Ali Keskïn

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2023

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Approximate Solutions of Nonlinear Boundary Value Problems by Collocation Methods Compared to Newer Methods

DURAK,

ÖZER,

SEZGİN

et al. 2023

Sakarya University Journal of Science

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A large variety of new methods are being developed for fast and efficient solutions of nonlinear boundary value problems. Some of these methods are, Adomian decomposition (ADM), differential transform (DTM), least squares vector machines (LSSVMM), and multiple variational iteration (MVIM). A natural question arises as to how efficient and simple to use these newer methods are compared to classical methods. One of the simplest and widely applicable classical methods is the collocation method. The overall performance of collocation method and the newer methods are compared on a number of problems, which were previously used to benchmark the newer methods. It is concluded that, at least for the problems considered, the collocation method performs as successfully as the newer methods.

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Approximate Solutions of Nonlinear Boundary Value Problems by Collocation Methods Compared to Newer Methods

DURAK,

ÖZER,

SEZGİN

et al. 2023

Sakarya University Journal of Science

View full text Add to dashboard Cite

show abstract

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Computing Zeros of Nonlinear Univariate Functions

Cited by 1 publication

References 24 publications

Approximate Solutions of Nonlinear Boundary Value Problems by Collocation Methods Compared to Newer Methods

Approximate Solutions of Nonlinear Boundary Value Problems by Collocation Methods Compared to Newer Methods

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