Results 31 to 40 of about 43,948 (194)

RBF-Assisted Hybrid Neural Network for Solving Partial Differential Equations

Mathematics
In scientific computing, neural networks have been widely used to solve partial differential equations (PDEs). In this paper, we propose a novel RBF-assisted hybrid neural network for approximating solutions to PDEs.
Ying Li, Wei Gao, Shihui Ying
doaj   +1 more source

Algorithms for reducing a system of PDEs to standard form, determining the dimension of its solution space and calculating its Taylor series solution

European Journal of Applied Mathematics, 1991
We present several algorithms, executable in a finite number of steps, which have been implemented in the symbolic language maple. The standard form algorithm reduces a system of PDEs to a simplified standard form which has all of its integrability conditions satisfied (i.e. is involutive).
openaire   +1 more source

Analyzing fractional PDE system with the Caputo operator and Mohand transform techniques

AIMS Mathematics
In this paper, we explore advanced methods for solving partial differential equations (PDEs) and systems of PDEs, particularly those involving fractional-order derivatives.
Azzh Saad Alshehry , Humaira Yasmin, Ali M. Mahnashi   +2 more
doaj   +1 more source

A discrete linearizability test based on multiscale analysis [PDF]

, 2010
In this paper we consider the classification of dispersive linearizable partial difference equations defined on a quad-graph by the multiple scale reduction around their harmonic solution.
Agrotis M, C Scimiterna, Calogero F, Calogero F, Calogero F, Calogero F, Calogero F, Calogero F, Calogero F, D Levi, Degasperis A, Degasperis A, Heredero R Hernandez, Heredero R Hernandez, Kodama Y, Kodama Y, Leon J, Levi D, Levi D, Procesi M, R Hernández Heredero, Scimiterna C, Scimiterna C   +22 more
core   +2 more sources

Roadmap to Precision 3D Printing of Cellulose: Rheology‐Guided Formulation, Fidelity Assessment, and Application Horizons

Advanced Materials Technologies, EarlyView.
This critical review presents a comprehensive roadmap for the precision 3D printing of cellulose. Quantitative correlations link ink formulation and rheological properties to print fidelity and final material performance. This framework guides the development of advanced functional materials, from biomedical scaffolds to electromagnetic shielding ...
Majed Amini, Hadi Hosseini, Seyyed Alireza Hashemi, Mohammad Arjmand   +3 more
wiley   +1 more source

Application of Chebyshev collocation method for solving two classes of non-classical parabolic PDEs

Ain Shams Engineering Journal, 2015
This article contributes a numerical scheme for finding approximate solutions of one-dimensional parabolic partial differential equations (PDEs) under non-classical boundary conditions. This scheme is based on the direct Chebyshev collocation method that
Emran Tohidi
doaj   +1 more source

Approximate and Exact Solutions to Fractional Order Cauchy Reaction-Diffusion Equations by New Combine Techniques

Journal of Mathematics, 2021
In this paper, we present a simple and efficient novel semianalytic method to acquire approximate and exact solutions for the fractional order Cauchy reaction-diffusion equations (CRDEs). The fractional order derivative operator is measured in the Caputo
Adnan Khan, Muhammad Imran Liaqat, Muhammad Younis, Ashraful Alam   +3 more
doaj   +1 more source

Analysis of a chemotaxis system modeling ant foraging

, 2015
In this paper we analyze a system of PDEs recently introduced in [P. Amorim, {\it Modeling ant foraging: a {chemotaxis} approach with pheromones and trail formation}], in order to describe the dynamics of ant foraging.
Alonso, Ricardo, Amorim, Paulo, Goudon, Thierry   +2 more
core   +2 more sources

Random initial conditions for semi-linear PDEs [PDF]

, 2017
We analyze the effect of random initial conditions on the local well--posedness of semi--linear PDEs, to investigate to what extent recent ideas on singular stochastic PDEs can prove useful in this ...
Blömker, Dirk, Cannizzaro, Giuseppe, Romito, Marco   +2 more
core   +2 more sources

Navigating the Ethereal Tightrope: The Nanogenerator Manipulates Neurons for Immune Equilibrium

Advanced Science, EarlyView.
This review explores how nanogenerators modulate neuroimmune responses, offering innovative strategies for treating neurological disorders. By interfacing with neural pathways, they enable precise control of immune activity, especially via vagus nerve stimulation.
Jia Du, Rui Deng, Ya Wu, Hong‐Xia Ren, Zong‐Hong Lin, Yang‐Bao Miao   +5 more
wiley   +1 more source