20 papers · ranked by Valyu relevance
Youssouf Akrour, Nouressadat Touafek, Yacine Halim
Solving difference equations and their systems is a subject that attract the attention of several researchers and a big number of papers is devoted to this line of research where various models are proposed. We can consult for example the papers [1]- [26], for some concrete models of such equations and systems where…
Alvaro H. Salas S., Gilder Cieza Altamirano, Rafaél Artidoro Sandoval Núñez
'Rafaél Artidoro Sandoval Núñez'] Inspired by some open conjectures in a rational dynamical system by G. Ladas and Palladino, in this paper, we consider the problem of solving a third-order difference equation. We comment the conjecture by Ladas. A third-order rational difference equation is solved analytically. The…
Hailu Bikila Yadeta
According to the superposition principle of the linear difference equation, the general solution of a nonhomogeneous linear differential equation is the sum of the general solutions of the associated homogeneous equation and a particular solution of the nonhomogeneous equation. See,for example, [17]. The method of…
М. С. Апанович, A. P. Lyapin, К. В. Шадрин
The aim of this article is further development of the theory of linear difference equations with constant coefficients. We present a new algorithm for calculating the solution to the Cauchy problem for a three-dimensional difference equation with constant coefficients in a parallelepiped at the point using the…
Muhammad Usman, Abdul Khaliq, Muhammad Azeem, Senesie Swaray + 2 more
'Mohamed Kallel' 'Kavikumar Jacob'] Fuzzy difference equations are becoming increasingly popular in fields like engineering, ecology, and social science. Difference equations find numerous applications in real-life problems. Our study demonstrates that the logarithmic-type fuzzy difference equation of order two…
Hailu Bikila Yadeta
where y(x) ∈ R n, m1, m2, ..., mk ≥ 0, and µ1(x), µ2(x), ..., µk(x) ≥ 0. Remark 1.2. In most textbooks, in place of the scalar variable x that we use here, the scalar variable t which commonly signify time in time-varying process is used. We use x as an independent scalar variable and y as unknown scalar variable that…
Jurgen Riedel, Chris P. Barnes
In this study we examine the emergence of complex biological patterns through the lens of reaction-diffusion systems. We introduce two novel complexity metrics — Diversity of Number of States (DNOS) and Diversity of Pattern Complexity (DPC)— which aim to quantify structural intricacies in pattern formation, enhancing…
Xinya Peng, Leiwei Li, Jia Zhang, Nikos Kavallaris
In this paper, Besse relaxation difference and compact difference scheme for a nonlinear integro-differential equation, which is crucial in modeling complex systems with memory and nonlocal effects, are proposed. A Besse relaxation difference scheme is developed by combining Besse relaxation time discretization with…
Authors not listed
While the method of manual inspection reliably produces correct results at the introductory level, it can often appear untidy and unintuitive and lacks teachable depth. This paper presents a novel alternative approach designed to achieve the same outcomes as manual inspection but with enhanced clarity. It serves as…
Md. Shorif Hossan, Trishna Datta, Md. Shafiqul Islam
Title: Graphical abstract
Shota Kato, Chunpu Zhang, Manabu Kano
Mathematical formulas play a prominent role in science, technology, engineering, and mathematics (STEM) documents; understanding STEM documents usually requires knowing the difference between equation groups containing multiple equations. When two equation groups can be transformed into the same form, we call the…
Contreras-Cristan, Alberto, Gonzalez-Barrios, Jose + 2 more
In this work, we illustrate and explore the use of Taylor series as solutions of differential equations. For a large a number of classes of differential equations in the literature, there are plenty of sources where the well known Taylor Series Method is used to approximate the solution, but here we are focused in…
Kourosh Parand, Saeed Setayeshi, Mir Mohsen Pedram, Ali Yoonesi + 1 more
fixation data in Unity software with Hermite Long-Short-Term Memory Authors: ['Kourosh Parand' 'Saeed Setayeshi' 'Mir Mohsen Pedram' 'Ali Yoonesi' 'Aida Pakniyat'] Cognitive decision-making processes are crucial aspects of human behavior, influencing various personal and professional domains. This research delves into…
harry gray
The matrix exponential method as implemented in MATLAB is demonstrated as a facile tool for solving the time-dependent concentrations of an arbitrary chemically reactive network modelled as a coupled linear system of first-order differential equations. The method is used to verify a 10 species network incorporating…
David Gokhman, Keith D. Harris, Shai Carmi, Gili Greenbaum
Predicting precise phenotypes from genomic data is a key goal in genetics, but it is often hampered by incomplete genotype-to-phenotype data. Here, we describe a more attainable approach than quantitative predictions, aimed at qualitatively predicting phenotypic differences, i.e., which individual has the higher…
Mohit P. Dalwadi, Philip Pearce
In biological systems, chemical signals termed morphogens self-organise into patterns that are vital for many physiological processes. As observed by Turing in 1952, these patterns are in a state of continual development, and are usually transitioning from one pattern into another. How do cells robustly decode these…
Anoop Kumar Kushwaha
In recent years, the applications of first-principles density functional theory (DFT) is diversified and expanded in a wide range due to the development of robust algorithms and more powerful computer systems. In general, DFT is used in condensed matter physics, chemistry, material science and biology to predict and…
Bing H. Ngu, Huy P. Phan, Jérôme Prado
Central to cognitive load theory is the concept of element interactivity, which reflects the complexity of material. The complexity of linear equations depends on the number of operational and relational lines and the nature of the operation (balance versus inverse) in the solution procedure. A relational line refers…
Johannes G. Borgqvist, Philip Gerlee, Carl Lundholm
The formation of buds on the cell membrane of budding yeast cells is thought to be driven by reactions and diffusion involving the protein Cdc42. These processes can be described by a coupled system of partial differential equations known as the Schnakenberg system. The Schnakenberg system is known to exhibit…
Jia-Xu Han, Rui-Wu Wang
The Price equation offers a means of separating the portion of population change attributable to natural selection from the overall change. There is debate over the universality of the Price equation due to the belief that it makes simple assumptions. However, it should be noted that the definition of fitness is…