Mathematical and Numerical Methods in Biology and Engineering

A special issue of Mathematics (ISSN 2227-7390). This special issue belongs to the section "E: Applied Mathematics".

Deadline for manuscript submissions: closed (20 December 2024) | Viewed by 1561

Special Issue Editor


E-Mail Website
Guest Editor
College of Integrative Sciences and Arts, Arizona State University, Mesa, AZ, USA
Interests: scientific computing; numerical analysis; finite element method; anisotropic mesh adaptation

Special Issue Information

Dear Colleagues,

Mathematical models such as partial differential equations have been widely used in biology and engineering to describe the corresponding systems or phenomena, and numerical methods are essential to obtain the approximated solutions for these problems. For complex biological systems or large-scale engineering problems, specially designed mathematical and computational methods are needed in order to obtain accurate solutions efficiently.

The aim of this Special Issue is to bring together original research on the development of mathematical and numerical methods to solve mathematical models derived from biology or engineering problems. Submissions addressing the latest development in theoretical analysis of the methods, improvement in computational accuracy and efficiency, and development of new models are welcome.

Dr. Xianping Li
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. Mathematics is an international peer-reviewed open access semimonthly 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 2600 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.

Benefits of Publishing in a Special Issue

  • Ease of navigation: Grouping papers by topic helps scholars navigate broad scope journals more efficiently.
  • Greater discoverability: Special Issues support the reach and impact of scientific research. Articles in Special Issues are more discoverable and cited more frequently.
  • Expansion of research network: Special Issues facilitate connections among authors, fostering scientific collaborations.
  • External promotion: Articles in Special Issues are often promoted through the journal's social media, increasing their visibility.
  • e-Book format: Special Issues with more than 10 articles can be published as dedicated e-books, ensuring wide and rapid dissemination.

Further information on MDPI's Special Issue policies can be found here.

Published Papers (1 paper)

Order results
Result details
Select all
Export citation of selected articles as:

Research

26 pages, 559 KiB  
Article
Efficient Multiplicative Calculus-Based Iterative Scheme for Nonlinear Engineering Applications
by Mudassir Shams, Nasreen Kausar and Ioana Alexandra Șomîtcă
Mathematics 2024, 12(22), 3517; https://doi.org/10.3390/math12223517 - 11 Nov 2024
Cited by 1 | Viewed by 755
Abstract
It is essential to solve nonlinear equations in engineering, where accuracy and precision are critical. In this paper, a novel family of iterative methods for finding the simple roots of nonlinear equations based on multiplicative calculus is introduced. Based on theoretical research, a [...] Read more.
It is essential to solve nonlinear equations in engineering, where accuracy and precision are critical. In this paper, a novel family of iterative methods for finding the simple roots of nonlinear equations based on multiplicative calculus is introduced. Based on theoretical research, a novel family of simple root-finding schemes based on multiplicative calculus has been devised, with a convergence order of seven. The symmetry in the pie graph of the convergence–divergence areas demonstrates that the method is stable and consistent when dealing with nonlinear engineering problems. An extensive examination of the numerical results of the engineering applications is presented in order to assess the effectiveness, stability, and consistency of the recently established method in comparison to current methods. The analysis includes the total number of functions and derivative evaluations per iteration, elapsed time, residual errors, local computational order of convergence, and error graphs, which demonstrate our method’s better convergence behavior when compared to other approaches. Full article
(This article belongs to the Special Issue Mathematical and Numerical Methods in Biology and Engineering)
Show Figures

Figure 1

Back to TopTop