Results 111 to 120 of about 2,222 (257)
Bacillus subtilis Mobilizes Phosphorus by Reshaping P Pools, Sorption, and Enzyme Activities
Land Degradation &Development, EarlyView.ABSTRACT Low phosphorus (P) availability constrains crop production in saline‐alkaline soils of Xinjiang, China. We tested whether Bacillus subtilis (B. subtilis) mobilizes soil P by altering P fractions, sorption–desorption, and P‐cycling enzymes in a saline‐alkaline cotton soil. Under conventional fertilization, B. subtilis was applied at 0 (B0), 15 (
Haiping Xie +5 more
wiley +1 more source
Hybrid Meshless Method for Numerical Solution of Partial Differential Equations [PDF]
, 2014 A meshless method for solving partial differential equations (PDEs) which combines the method of fundamental solutions (MFS) and the method of particular solutions (MPS) is formulated and tested.
Monroe, Jeanette Marie
core +1 more source
Unveiling New Perspectives on the Hirota–Maccari System With Multiplicative White Noise
Mathematical Methods in the Applied Sciences, EarlyView.ABSTRACT In this study, we delve into the stochastic Hirota–Maccari system, which is subjected to multiplicative noise according to the Itô sense. The stochastic Hirota–Maccari system is significant for its ability to accurately model how stochastic affects nonlinear wave propagation, providing valuable insights into complex systems like fluid dynamics
Mohamed E. M. Alngar +3 more
wiley +1 more source
Mathematical Methods in the Applied Sciences, EarlyView.ABSTRACT This study examines the combined impact of different thermal conductivity and viscosity on unsteady non‐Newtonian Casson fluid flow of incompressible, electrical conductivity in a porous vertical channel with convective cooling walls, uniform magnetic field, and constant pressure gradient.
A. S. Adeyemo +2 more
wiley +1 more source
On Compressible Fluid Flows of Forchheimer‐Type in Rotating Heterogeneous Porous Media
Mathematical Methods in the Applied Sciences, EarlyView.ABSTRACT We study the dynamics of compressible fluids in rotating heterogeneous porous media. The fluid flow is of Forchheimer‐type and is subject to a mixed mass and volumetric flux boundary condition. The governing equations are reduced to a nonlinear partial differential equation for the pseudo‐pressure.
Emine Celik, Luan Hoang, Thinh Kieu
wiley +1 more source
On the Existence of Solutions of Dynamic Equations on Time Scales in Banach Spaces
Mathematical Methods in the Applied Sciences, EarlyView.ABSTRACT In this paper we address the question of solvability of dynamic equations on time scales in Banach spaces. In particular, our main theorem extends the result for classical differential equations in Banach spaces of Banaś and Goebel established in [5], to an arbitrary time scale.
Dušan Oberta
wiley +1 more source
Input-to-State Stability and Stabilization of PDEs of Parabolic Types [PDF]
RÉSUMÉ: Avec le développement de la théorie des équations aux dérivées partielles (EDP) et son grand potentiel d’applications, l’étude de la stabilité entrée-état (ISS) en présence de perturbations externes a de profondes implications théoriques et ...
Zheng, Jun
core
Applications of Domain Decomposition Method and the Method of Fundamental Solutions for Some Partial Differential Equations with Clustering [PDF]
, 2007 本論文主要在探討區域分割法以及無網格基本解法的結合，並應用於求解拉普拉斯方程式、史托克斯方程式、擴散方程式以及對流-擴散方程式的成果。基本解法是一種無網格且具高效率計算的數值方法，但此種方法，在計算點數越多的情況下，會導致基本解所構成的線性系統矩陣越趨於病態。此問題在基本解法的發展上，造成對於計算規模的限制。因此，本論文提出此建立在區域分割理論上的基本解法，來解決這個病態矩陣的問題。應用此種方法，本文針對尖角計算域、穩態史托克斯流場、以及跟時間等相關的問題，做一系列的探討。值得注意的是 ...
Hsieh, Dar-Der, 謝達德
core
Nordgren PINNs to VQE: Advancing Hydraulic Fracturing Simulations in Shale Reservoirs
International Journal for Numerical and Analytical Methods in Geomechanics, EarlyView.ABSTRACT This study advances hydraulic fracturing simulations in shale reservoirs using two computational paradigms, Physics‐Informed Neural Networks (PINNs) and the Variational Quantum Eigensolver (VQE). PINNs were employed to solve Nordgren's equation, which governs fracture width evolution, by embedding physical laws into the neural network ...
Dennis Delali Kwesi Wayo +7 more
wiley +1 more source
Optimal control of stochastic partial differential equations in Banach spaces [PDF]
, 2010 In this thesis we study optimal control problems in Banach spaces for stochastic partial differential equations. We investigate two different approaches.
Serrano Perdomo, Rafael Antonio +1 more
core