Iterative Methods in Solving Nonlinear Equations Based on Fractal and Fractional Perspective

A special issue of Fractal and Fractional (ISSN 2504-3110). This special issue belongs to the section "General Mathematics, Analysis".

Deadline for manuscript submissions: 20 October 2024 | Viewed by 128

Special Issue Editors


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Guest Editor
Institute Matemática Multidisciplinar, Universitat Politècnica de València, Camino de Vera, s/n, 46022 Valencia, Spain
Interests: numerical analysis; mathematical modelling; numerical modeling
Special Issues, Collections and Topics in MDPI journals

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Guest Editor

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Guest Editor
Instituto Matemática Multidisciplinar, Universitat Politècnica de València, Camino de Vera, s/n, 46022 Valencia, Spain
Interests: iterative methods; memory schemes; nonlinear equations and systems; dynamical analysis
Special Issues, Collections and Topics in MDPI journals

Special Issue Information

Dear Colleagues,

Numerical analysis is a research area of applied mathematics that has experienced a significant boom in recent decades. A common problem in science, engineering and economics disciplines lies in the requirement of the solution for a nonlinear equation or system of equations. We resort to approximate solutions in cases where analytical solutions are not adequate. One of these strategies consists of the use of iterative methods for solving equations and systems of nonlinear equations.

The design and analysis of iterative methods for solving nonlinear problems is the subject of this Special Issue, as are their potential applications. In this sense, research on memoryless and memory methods, methods to find multiple roots, methods to simultaneously obtain all the solutions of a problem or methods using fractional derivatives, among others, are welcome.

Prof. Dr. Neus Garrido
Prof. Dr. Francisco I. Chicharro
Dr. Paula Triguero-Navarro
Guest Editors

Manuscript Submission Information

Manuscripts should be submitted online at www.mdpi.com by registering and logging in to this website. Once you are registered, click here to go to the submission form. Manuscripts can be submitted until the deadline. All submissions that pass pre-check are peer-reviewed. Accepted papers will be published continuously in the journal (as soon as accepted) and will be listed together on the special issue website. Research articles, review articles as well as short communications are invited. For planned papers, a title and short abstract (about 100 words) can be sent to the Editorial Office for announcement on this website.

Submitted manuscripts should not have been published previously, nor be under consideration for publication elsewhere (except conference proceedings papers). All manuscripts are thoroughly refereed through a single-blind peer-review process. A guide for authors and other relevant information for submission of manuscripts is available on the Instructions for Authors page. Fractal and Fractional is an international peer-reviewed open access monthly journal published by MDPI.

Please visit the Instructions for Authors page before submitting a manuscript. The Article Processing Charge (APC) for publication in this open access journal is 2700 CHF (Swiss Francs). Submitted papers should be well formatted and use good English. Authors may use MDPI's English editing service prior to publication or during author revisions.

Keywords

  • iterative methods
  • stability theory
  • methods with memory
  • simultaneous roots
  • multiple roots
  • fractional derivatives
  • fractal dimension
  • nonlinear dynamics
  • mathematical modelling

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Published Papers

This special issue is now open for submission.
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