The present work focuses on formulating a numerical scheme for approximation of Volterra integral equations with highly oscillatory Bessel kernels. The application of Laplace transform reduces integral equations into algebraic equations.
Marjan Uddin, Muhammad Taufiq
doaj +1 more source
On numerical solution to fractional non-linear oscillatory equations [PDF]
In this article, the multi-step differential transform method (MsDTM) is applied to give approximate solutions of nonlinear ordinary differential equation such as fractional-non-linear oscillatory and vibration equations.
Ahmet Yildirim +5 more
core +1 more source
Mathisson Equations: Non-Oscillatory Solutions in a Schwarzschild Field
11 pages, 3 ...
Plyatsko, Roman, Stefanyshyn, Oleksandr
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Multigrid and Runge-Kutta time-stepping applied to the uniformly non-oscillatory scheme for conservation laws [PDF]
It is known that Harten's uniformly non-oscillatory scheme is a second-order accurate scheme for discretizing coservation laws. In this paper a multigrid technique and Runge-Kutta time stepping with frozen dissipation is applied to Harten's scheme in ...
Zandbergen, P.J. +3 more
core +1 more source
Oscillatory Sequences of Firing in the Locust Olfactory System: Mechanisms and Functional Significance [PDF]
What neural codes does the brain use to represent and process sensory information? Stimulus-evoked oscillatory synchronization of neuronal activity has been observed in many systems, yet the possible functions of such rhythmic synchronization in neural ...
Wehr, Michael Stephen
core +1 more source
Structure of Non-Oscillatory Solutions for Second Order Dynamic Equations on Time Scales [PDF]
In this paper, we make a detailed analysis of the structure of non-oscillatory solutions for second order superlinear and sublinear dynamic equations on time scales. The sufficient and necessary conditions for existence of non-oscillatory solutions are presented.
Yong Zhou, Bashir Ahmad, Ahmed Alsaedi
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Limiting behaviours of non-oscillatory solutions of a pair of coupled nonlinear differential equations [PDF]
AbstractA pair of coupled nonlinear differential equations is studied and asymptotic properties of its non-oscillatory solutions are obtained. In particular, we provide classification schemes for these solutions which are justified by existence criteria.
Li, Wan-Tong, Cheng, Sui Sun
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Design and analysis strategies for robust microbiome ageing research
The gut microbiome changes with age and associates with age‐related morbidity and mortality, establishing it as a potential biomarker and intervention target for ageing. Realising this potential requires methodological rigour, yet distinguishing biological signals from methodological artefacts remains challenging across cohorts. This review provides an
Mark Olenik +5 more
wiley +1 more source
A fourth-order entropy condition scheme for systems of hyperbolic conservation laws
Based on the analysis of the entropy condition scheme formulation, the accuracy order comes from initial value interpolation and flux reconstruction.
Tong Zhou, Haitao Dong
doaj +1 more source
Hijacking emergency granulopoiesis: Neutrophil ontogeny and reprogramming in cancer
Neutrophils are highly plastic innate immune cells; their functions in cancer extend beyond the tumour microenvironment. This Review summarises current understanding of neutrophil maturation and heterogeneity and highlights tumour‐induced granulopoiesis as a systemic programme that expands immature, immunosuppressive neutrophils via tumour‐derived ...
Gabriela Marinescu, Yi Feng
wiley +1 more source

