Symmetry and Polynomial Approximations of Differential Equations
A special issue of Symmetry (ISSN 2073-8994). This special issue belongs to the section "Mathematics".
Deadline for manuscript submissions: closed (15 May 2022) | Viewed by 2880
Special Issue Editor
Interests: differential equations; polynomial approximations; functional differential equations; integral equations; integrodifferential equations; fractional differential equations; computational calculation; partial differential equations; special functions; numerical methods; numerical analysis; approximations and expansions; mathematical modeling
Special Issue Information
Dear Colleagues,
This Special Issue will focus on differential equations. Differential equations are used in the modeling of many model problems in science and engineering. Finding the analytical solution for many of these equations is difficult. Therefore, approximation techniques are needed to solve them. It is also of great importance that the methods presented be effective and practical. On the other hand, polynomials with symmetry properties provide convenience as well as the ability to be used in various fields of science and engineering. Further, special polynomials have an important place in the investigation of solutions of differential equations—for example, Chebyshev polynomial, Taylor polynomials, Bernstein polynomials, Laguerre polynomials, Legendre polynomials, Euler polynomials, Lucas polynomials, Bell polynomials, Pell-Lucas polynomials, Muntz–Legendre polynomials, and exponential polynomials. Moreover, symmetric and orthogonal polynomials can also provide convenience in polynomial approximations of differential equations. Thus, in this Special Issue, we aim at the development and analysis of new polynomial approximations for the solutions of differential equations.
This Special Issue will contribute to computing the solutions of many classes of differential equations encountered in Science and Engineering using new techniques. We would like to invite researchers working on this topic to submit their articles regarding polynomial approximations for differential equations to this Special Issue of Symmetry.
Dr. Şuayip Yüzbaşı
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. Symmetry 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
- polynomial approximations
- functional differential equations
- delay differential equations
- partial differential equations
- fractional differential equations
- special polynomials
- mathematical modeling
