Global Well-Posedness of an Initial-Boundary Value Problem for Viscous Non-Resistive MHD Systems [PDF]
This paper concerns the viscous and non-resistive MHD systems which govern the motion of electrically conducting fluids interacting with magnetic fields.
Zhong Tan, Yanjin Wang
semanticscholar +1 more source
Transformation of boundary value problems into initial value problems
AbstractIn a previous paper of the author (SIAM Review, 1962, pp. 43–47), the idea of Blasius for the transformation of the B.V.P., y‴ + yy′' = 0, y(o) = y′(o) = 0, y′(∞) = 2, into a pair of similar I.V.P.'s was extended to D.E.'s or systems of D.E.'s of any order which were invariant under certain groups of homogeneous linear transformations.
openaire +3 more sources
Modified Variational Iteration Method Approach for Fuzzy Initial Value Problem
In this paper, an application of modified variational iteration method (MVIM) for solving homogeneous and nonhomogeneous ordinary differential equations with fuzzy initial value conditions (FDEs) are examined.
Maath S. Awad +2 more
doaj +1 more source
occumb: An R package for site occupancy modeling of eDNA metabarcoding data
This study introduces a new R package, occumb, for the convenient application of site occupancy modeling using environmental DNA (eDNA) metabarcoding data. We outline a data analysis workflow, including data setup, model fitting, model assessment, and comparison of potential study settings based on model predictions, all of which can be performed using
Keiichi Fukaya, Yuta Hasebe
wiley +1 more source
From omics to AI—mapping the pathogenic pathways in type 2 diabetes
Integrating multi‐omics data with AI‐based modelling (unsupervised and supervised machine learning) identify optimal patient clusters, informing AI‐driven accurate risk stratification. Digital twins simulate individual trajectories in real time, guiding precision medicine by matching patients to targeted therapies.
Siobhán O'Sullivan+2 more
wiley +1 more source
Solution of Fuzzy Initial Value Problem Using Variational Iteration Method [PDF]
Variation iteration method is powerful analytical method for solving linear and nonlinear equations. In this paper, the variational iteration method has been applied to solve fuzzy linear and nonlinear differential equations with fuzzy initial conditions,
Marwa Mohamed Esmaeil
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Runge–Kutta–Nyström Pairs of Orders 8(6) for Use in Quadruple Precision Computations
The second-order system of non-stiff Initial Value Problems (IVP) is considered and, in particular, the case where the first derivatives are absent.
Vladislav N. Kovalnogov+5 more
doaj +1 more source
The initial value problem for the binormal flow with rough data [PDF]
In this article we consider the initial value problem of the binormal flow with initial data given by curves that are regular except at one point where they have a corner.
V. Banica, L. Vega
semanticscholar +1 more source
Exploring lipid diversity and minimalism to define membrane requirements for synthetic cells
Designing the lipid membrane of synthetic cells is a complex task, in which its various roles (among them solute transport, membrane protein support, and self‐replication) should all be integrated. In this review, we report the latest top‐down and bottom‐up advances and discuss compatibility and complexity issues of current engineering approaches ...
Sergiy Gan+2 more
wiley +1 more source
A parabolic differential equation with unbounded piecewise constant delay
A partial differential equation with the argument [λt] is studied, where [•] denotes the greatest integer function. The infinite delay t−[λt] leads to difference equations of unbounded order.
Joseph Wiener, Lokenath Debnath
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