Integral representations of solutions to pdes

Results 131 to 140 of about 423 (186)

Exploring the chaotic, sensitivity and wave patterns to the dual-mode resonant Schrödinger equation: application in optical engineering. [PDF]

Sci Rep
Muhammad J, Younas U, Yar M.
europepmc +1 more source

RAMS: Residual‐Based Adversarial‐Gradient Moving Sample Method for Scientific Machine Learning in Solving Partial Differential Equations

Advanced Intelligent Discovery, Volume 2, Issue 3, June 2026.
We propose a residual‐based adversarial‐gradient moving sample (RAMS) method for scientific machine learning that treats samples as trainable variables and updates them to maximize the physics residual, thereby effectively concentrating samples in inadequately learned regions.
Weihang Ouyang +4 more
wiley +1 more source

Efficient numerical analysis of nonlinear liquid dispersion pattern drops using Taylor wavelet collocation. [PDF]

Sci Rep
El-Hady MA, El-Gamel M, Kashwaa Y.
europepmc +1 more source

Addressing Small Data Challenges in Biopharmaceutical Development and Manufacturing: A Mini Review of Multi‐Fidelity Techniques

Biotechnology and Bioengineering, Volume 123, Issue 6, Page 1465-1480, June 2026.
ABSTRACT The growing demand for biopharmaceutical products reflects their effectiveness in medical treatments. However, developing new biopharmaceuticals remains a major bottleneck, often taking up to a decade before market approval. Machine learning (ML) models have the potential to accelerate this process, but their success depends on access to large
Mohammad Golzarijalal, Uwe Aickelin, Ellen Otte +2 more
wiley +1 more source

Analytical investigation of soliton propagation in conformable fractional-order transmission line metamaterials. [PDF]

Sci Rep
Almetwally EM +5 more
europepmc +1 more source

Successful Revascularization of Chronic Total Occlusions in Patients With Chronic Thromboembolic Pulmonary Disease

Catheterization and Cardiovascular Interventions, Volume 107, Issue 7, Page 2323-2334, June 1, 2026.
ABSTRACT Background Chronic thromboembolic pulmonary disease (CTEPD) leads to chronic total occlusions (CTOs) of the pulmonary arteries in a minority of patients. Treatment of CTOs with balloon pulmonary angioplasty (BPA) may substantially improve patient hemodynamics but presents unique technical challenges and has previously been associated with a ...
Elliot J. Stein +4 more
wiley +1 more source

Applications of the Mittag-Leffler law to linear kinetic models & diffusion equations. [PDF]

Sci Rep
Monyayi VT, Doungmo Goufo EF, Tchangou Toudjeu I. +2 more
europepmc +1 more source

Advanced control of non‐isothermal axial dispersion tubular reactors with recycle‐induced state delay

The Canadian Journal of Chemical Engineering, Volume 104, Issue 6, Page 3018-3037, June 2026.
Abstract We develop a delay‐aware estimation and control framework for a non‐isothermal axial dispersion tubular reactor modelled as a coupled parabolic‐hyperbolic PDE system with recycle‐induced state delay. The infinite‐dimensional dynamics are preserved without spatial discretization by representing the delay as a transport PDE and adopting a late ...
Behrad Moadeli, Stevan Dubljevic
wiley +1 more source

Analyzing the neural wave structures in the field of neuroscience. [PDF]

Sci Rep
Younas U +4 more
europepmc +1 more source

Pancreatic Islet Cell Crosstalk: Insight Into α‐/β‐Cell Compensatory Mechanisms

Comprehensive Physiology, Volume 16, Issue 3, June 2026.
α‐cell remodeling compensates for impaired β‐cell function. Intra‐islet glucagon/GLP‐1 signaling is upregulated and becomes essential in prediabetic islets. Flexible receptor engagement reflects functional plasticity in hormonal control of insulin secretion. Created in BioRender. Plecita, L. (2026); https://BioRender.com/pgjjg3m.
Štěpánka Benáková +5 more
wiley +1 more source