Search · four archives
Search · four archives
21 papers · ranked by Valyu relevance
D. A. Smith
A method for solving linear initial boundary value problems was recently reimplemented as a true spectral transform method. As part of this reformulation, the precise sense in which the spectral transforms diagonalize the underlying spatial differential operator was elucidated. That work concentrated on two point…
Muhammad Musadiq Ahmed, Adnan Rashid
Most of the engineering and physical systems are generally characterized by differential and difference equations based on their continuoustime and discrete-time dynamics, respectively. Moreover, these dynamical models are analyzed using transform methods to prove various properties of these systems, such as, transfer…
Edyta Hetmaniok, Mariusz Pleszczyński, Yasir Khan, Carles Gomez
Recently, a lot of attention has been paid to the field of research connected with the wireless sensor network and industrial internet of things. The solutions found by theorists are next used in practice in such area as smart industries, smart devices, smart home, smart transportation and the like. Therefore, there is…
Rajendra Pant, Geeta Arora, Homan Emadifar, Luan Carlos de Sena Monteiro Ozelim
The time-fractional order differential equations are used in many different contexts to analyse the integrated scientific phenomenon. Hence these equations are the point of interest of the researchers. In this work, the diffusion equation for a one-dimensional time-fractional order is solved using a combination of…
Nabil Mlaiki, Noor Jamal, Muhammad Sarwar, Manel Hleili + 2 more
'Khursheed J. Ansari' 'Naeem Saleem'] Integral transforms are used in many research articles in the literature, due to their interesting applications in the solutions of problems of applied science and engineering. In many situations, researchers feel difficulties in applying a given transform to solve differential or…
Nikolay K. Vitanov, Zlatinka I. Dimitrova, Praveen Agarwal, Carlo Cattani + 3 more
'Carlo Cattani' 'Thiab Taha' 'Shaher Momani' 'Juan García Guirao'] We discuss the application of the Simple Equations Method (SEsM) for obtaining exact solutions of non-linear differential equations to several cases of equations containing non-polynomial non-linearity. The main idea of the study is to use an…
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…
Daniela Rodriguez-Lara, Iván Alvarez-Ríos, F. S. Guzmán
Fourier Transform Authors: ['Daniela Rodriguez-Lara' 'Iván Alvarez-Ríos' 'F. S. Guzmán'] In this paper we explain how to use the Fast Fourier Transform (FFT) to solve partial differential equations (PDEs). We start by defining appropriate discrete domains in coordinate and frequency domains. Then describe the main…
Yihao Liu, Junyu Chen, Shuwen Wei, Aaron Carass + 1 more
Producing spatial transformations that are diffeomorphic is a key goal in deformable image registration. As a diffeomorphic transformation should have positive Jacobian determinant |J| everywhere, the number of voxels with |J| < 0 has been used to test for diffeomorphism and also to measure the irregularity of the…
Noor Jamal, Muhammad Sarwar, Parveen Agarwal, Nabil Mlaiki + 1 more
'Ahmad Aloqaily'] In this article, we present an algorithm for computing analytical solutions of linear fuzzy advection-diffusion equations and one-dimensional fuzzy heat equations involving an external source. The fuzzy problems can be solved by using the natural transform and Adomian decomposition method. The results…
Miguel Vivas-Cortez, Beenish Rani, Nauman Raza, Ghada Ali Basendwah + 2 more
'Mudassar Imran' 'Muhammad Mubashir Bhatti'] This research paper focuses on the study of the (3+1)-dimensional negative order KdV-Calogero-Bogoyavlenskii-Schiff (KdV-CBS) equation, an important nonlinear partial differential equation in oceanography. The primary objective is to explore various solution techniques and…
Manouchehr Amiri
The present paper introduces a method of basis transformation of a vector space that is specifically applicable to polynomials space and differential equations with certain polynomials solutions such as Hermite, Laguerre and Legendre polynomials. This method is based on separated transformations of vector space basis…
Alemu Takele Assefa, Bie Verbist, Koen Van den Berge
In single-cell studies, a common question is whether there is a change in cell composition between conditions. While ideally, one needs absolute cell counts (number of cells per volumetric unit in a sample) to address these questions, current experimentation typically obtains cell counts that only carry relative…
Ian J. Maquignaz
A novel approach to 3D surface imaging is proposed, allowing for the continuous sampling of 3D surfaces to extract localized perspective transformation coefficients from Fourier spectrum analysis of projected patterns. The mathematical relationship for Spatial-Fourier Transformation Pairs is derived, defining the…
Richard Yang, Heather D. Orser, Kip A. Ludwig, Brandon S. Coventry
Digital implementations of discrete Fourier transforms (DFT) are a mainstay in feature assessment of recorded biopotentials, particularly in the quantification of biomarkers of neurological disease state for adaptive deep brain stimulation. Fast Fourier transform (FFT) algorithms and architectures present a substantial…
Authors not listed
A method has been introduced to derive the solution of the time-independent Schrodinger equation for the simple harmonic oscillator. A trial solution has been chosen as the product of the divergent part of the approximate asymptomatic solution of the Schrodinger equation and an unknown function. By inserting this trial…
Steen Moeller, Erick O. Buko, Suhail P. Parvaze, Logan Dowdle + 3 more
To develop an extension to locally low rank (LLR) denoising techniques based on transform domain processing that reduces the number of images required in the MR image series for high-quality denoising. LLR methods with random matrix theory-based thresholds are successfully used in the denoising of MR image series in a…
Jiacheng Leng, Jiating Yu, Ling-Yun Wu
Differential graph inference is a critical analytical technique that enables researchers to accurately identify the variables and their interactions that change under different conditions. By comparing two conditions, researchers can gain a deeper understanding of the differences between them. Currently, the mainstream…
Authors not listed
Electrochemical impedance spectroscopy (EIS) is a powerful analytical technique for studying electrochemical systems, offering broad frequency range coverage and straightforward implementation. However, EIS measurements at low frequencies are limited by both lengthy acquisition times and the risk of disrupting…
Kaitlin Stouffer, Menno Witter, Claire Chen, Eileen Xu + 5 more
Since Braak’s initial histological observations, it has been recognized that Alzheimer’s disease (AD) neurofibrillary tangles (NFTs) appear in the medial temporal lobe (MTL) of the brain very early in the disease course. MRI-based shape diffeomorphometry markers have demonstrated pre-clinical AD changes in the MTL but…
Chia-Wei Huang, Chih-Chiang Fang, Wei-Tai Hsu, Chih-Chung Yang + 5 more
'Li-Ting Zhou' 'Jinde Zheng' 'Zhi-Xin Yang' 'Xiaoan Yan' 'Ling Xiang'] Transformer operations are susceptible to both internal and external faults. This study primarily employed software to construct a power system simulation model featuring a step-down transformer. The simulation model comprised three single-phase…