Results 41 to 50 of about 36,515 (306)

ANN-based methods for solving partial differential equations: a survey

Arab Journal of Basic and Applied Sciences, 2022
Traditionally, partial differential equation (PDE) problems are solved numerically through a discretization process. Iterative methods are then used to determine the algebraic system generated by this process. Recently, scientists have emerged artificial
Danang, A. Pratama, Maharani A. Bakar, N. B. Ismail, Mashuri M   +3 more
doaj   +1 more source

Symmetry Problems for PDE [PDF]

Symmetry, 2021
The results of this paper allow one to derive several results of general interest: to prove the Schiffer’s conjecture, to solve the Pompeiu problem, to prove two symmetry results in harmonic analysis and to give a new method for solving an old symmetry problem.
openaire   +1 more source

Asymptotic analysis of the biharmonic Schrödinger equation with fractional damping

Boundary Value Problems
In this paper, we study the decay behavior of solutions to the biharmonic Schrödinger equation under the effect of internal fractional damping. By employing semigroup theory and energy methods, we establish well-posedness results and investigate the long-
Khadidja Fekirini, Naima Louhibi, Ibrahim Meradjah, Salah Boulaaras, Mohamed Hocine Braiki   +4 more
doaj   +1 more source

Patient-Derived Explants as a Precision Medicine Patient-Proximal Testing Platform Informing Cancer Management

Frontiers in Oncology, 2021
Precision medicine approaches that inform clinical management of individuals with cancer are progressively advancing. Patient-derived explants (PDEs) provide a patient-proximal ex vivo platform that can be used to assess sensitivity to standard of care ...
Abby R. Templeton, Abby R. Templeton, Abby R. Templeton, Abby R. Templeton, Penny L. Jeffery, Penny L. Jeffery, Penny L. Jeffery, Penny L. Jeffery, Patrick B. Thomas, Patrick B. Thomas, Patrick B. Thomas, Patrick B. Thomas, Mahasha P. J. Perera, Mahasha P. J. Perera, Mahasha P. J. Perera, Mahasha P. J. Perera, Mahasha P. J. Perera, Gary Ng, Gary Ng, Alivia R. Calabrese, Alivia R. Calabrese, Alivia R. Calabrese, Alivia R. Calabrese, Clarissa Nicholls, Clarissa Nicholls, Clarissa Nicholls, Nathan J. Mackenzie, Nathan J. Mackenzie, Nathan J. Mackenzie, Nathan J. Mackenzie, Jack Wood, Jack Wood, Jack Wood, Laura J. Bray, Laura J. Bray, Laura J. Bray, Ian Vela, Ian Vela, Ian Vela, Ian Vela, Ian Vela, Erik W. Thompson, Erik W. Thompson, Elizabeth D. Williams, Elizabeth D. Williams, Elizabeth D. Williams, Elizabeth D. Williams   +46 more
doaj   +1 more source

Adaptive Observer for Coupled Wave PDE and Infinite ODE With Sampled Data and Unknown Input: Application to Brain Hemodynamics Estimation

International Journal of Adaptive Control and Signal Processing, EarlyView.
This article proposes a convergent adaptive observer for a damped wave PDE and an infinite‐dimensional ODE coupled in cascade using sampled‐in‐space ODE state measurements. The proposed observer estimates the distributed states of the PDE and ODE along with unknown PDE parameters and spatial input.
Zehor Belkhatir, Sarah Mechhoud, Taous‐Meriem Laleg‐Kirati   +2 more
wiley   +1 more source

A collocation method based on one-dimensional RBF interpolation scheme for solving PDEs [PDF]

, 2007
Purpose -- To present a new collocation method for numerically solving partial differential equations (PDEs) in rectangular domains. Design/methodology/approach -- The proposed method is based on a Cartesian grid and a one-dimensional integrated-radial ...
Mai-Duy, N., Tanner, R. I.
core   +1 more source

A PDES method preserving boundaries on dense disparity map reconstruction [PDF]

, 2008
Over smoothness restricts the application of PDEs in the field of dense disparity map reconstruction, because disparity map reconstruction usually requires preserving discontinuousness in some areas such as the boundaries of objects.
Liu J(刘霁), Wang YC(王越超), Peng JJ(彭军舰), Tang YD(唐延东)   +3 more
core   +2 more sources

Performance of GRKM-method for solving classes of ordinary and partial differential equations of sixth-orders

Open Engineering
A general quasilinear sixth-order ordinary differential equation (ODE) is an important class of ODEs. The primary objective of this study is to establish a numerical method for solving a general class of quasilinear sixth-order partial differential ...
Mechee Mohammed S., Kadhim Murtadha A., Yazdani Cherati AllahBakhsh   +2 more
doaj   +1 more source

The Influence of Field‐Assisted Sintering Technology (FAST) Temperature and Cooling Rate on the Microstructural Evolution in Gamma‐Titanium Aluminide Alloy GE4822

Advanced Engineering Materials, EarlyView.
Controlling the Field Assisted Sintering Technology (FAST) parameters, dwell temperature and cooling rate, significantly influences the microstructural evolution in titanium aluminide GE4822. Significant γ‐lamellar colonies develop only upon cooling through the α‐transus.
Jack Krohn, James Pepper, Martin Jackson
wiley   +1 more source

Historical Foundation and Practical Guideline for Ferroelectric Switching Kinetic Studies

Advanced Functional Materials, EarlyView.
The P and U pulses in the conventional PUND measurements are not identical because of the interplay between switching current and the measurement circuit components. This circuit effect can lead to a shift in polarization transients and misinterpreted physics in the switching kinetics.
Yi Liang, Pat Kezer, John T. Heron
wiley   +1 more source