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Axioms
Special Issues
Applied Mathematics and Numerical Analysis: Theory and Applications
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Applied Mathematics and Numerical Analysis: Theory and Applications

A special issue of Axioms (ISSN 2075-1680). This special issue belongs to the section "Mathematical Analysis".

Deadline for manuscript submissions: 23 August 2024 | Viewed by 930

Special Issue Editor

Dr. Avrilia Konguetsof

E-Mail Website
Guest Editor
Department of Civil Engineering, Polytechnic School, Democritus University of Thrace, Kimmeria Campus, 671 00 Xanthi, Greece
Interests: applied mathematics; numerical analysis; numerical solution of differential equations
Special Issues, Collections and Topics in MDPI journals

Special Issue Information

Dear Colleagues,

Numerical analysis is a major branch of mathematics which consists of mathematical approximation techniques and computational methods.

Numerical methods are applied in all fields of engineering, physical sciences, life sciences, social sciences, medicine, business, etc. The main interests of numerical schemes include approximation, simulation, and estimation, and they are used in virtually every scientific field.

In this Special Issue, original research articles and reviews are welcome. Research areas may include (but are not limited to) the following:

Numerical approaches and solutions of ordinary differential equations (ODEs), partial differential equations (PDEs), stochastic differential equations (SDEs), delay differential equations (DDEs), and differential algebraic equations (DAEs); numerical stability; interpolation; approximation; quadrature methods; numerical linear algebra; initial and boundary conditions; numerical fractional analyses; optimization; integral equations; iterative methods for solving nonlinear equations and systems; and applications for solving real problems in science and engineering.

I look forward to receiving your contributions.

Dr. Avrilia Konguetsof
Guest Editor

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. Axioms 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 2400 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

  • ordinary differential equations (ODEs)
  • partial differential equations (PDEs)
  • stochastic differential equations (SDEs)
  • delay differential equations (DDEs)
  • differential algebraic equations (DAEs)
  • integral equations
  • iterative methods
  • fluid dynamics
  • thermodynamics
  • quantum dynamics
  • control theory

Published Papers (1 paper)

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Research

12 pages, 271 KiB  
Article
Optimal Fourth-Order Methods for Multiple Zeros: Design, Convergence Analysis and Applications
by Sunil Kumar, Janak Raj Sharma and Lorentz Jäntschi
Axioms 2024, 13(3), 143; https://doi.org/10.3390/axioms13030143 - 23 Feb 2024
Viewed by 794
Abstract
Nonlinear equations are frequently encountered in many areas of applied science and engineering, and they require efficient numerical methods to solve. To ensure quick and precise root approximation, this study presents derivative-free iterative methods for finding multiple zeros with an ideal fourth-order convergence [...] Read more.
Nonlinear equations are frequently encountered in many areas of applied science and engineering, and they require efficient numerical methods to solve. To ensure quick and precise root approximation, this study presents derivative-free iterative methods for finding multiple zeros with an ideal fourth-order convergence rate. Furthermore, the study explores applications of the methods in both real-life and academic contexts. In particular, we examine the convergence of the methods by applying them to the problems, namely Van der Waals equation of state, Planck’s law of radiation, the Manning equation for isentropic supersonic flow and some academic problems. Numerical results reveal that the proposed derivative-free methods are more efficient and consistent than existing methods. Full article
(This article belongs to the Special Issue Applied Mathematics and Numerical Analysis: Theory and Applications)
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