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View article: Modeling mass transport using time-variable space-fractional Riesz derivative
Modeling mass transport using time-variable space-fractional Riesz derivative Open
In this work, we consider the model of a mass transport problem through polymeric membranes which is important in many applications especially drug delivery. The aim of this paper is to present a more accurate mathematical model to describ…
View article: Diagnostic utility of transthoracic Doppler ultrasound in the assessment of peripheral pulmonary lesions
Diagnostic utility of transthoracic Doppler ultrasound in the assessment of peripheral pulmonary lesions Open
Background Transthoracic ultrasound is a safe, radiation-free, and cheap complementary radiological modality that helps in the detection of peripheral pulmonary nodules, masses, or consolidations adherent to the parietal pleura. As a compl…
View article: Repurposing liraglutide to the management of DSS-induced colitis: a potential for promoting autophagy
Repurposing liraglutide to the management of DSS-induced colitis: a potential for promoting autophagy Open
Ulcerative colitis (UC) is a chronic inflammatory bowel disease (IBD) that typically requires long-term drug treatment. The emerging role of glucagon-like peptide 1 (GLP-1) and its receptor agonists in gastrointestinal diseases has drawn m…
View article: Comparative study of ground-based and satellite observations of Pc5 geomagnetic pulsations during solar cycle 23
Comparative study of ground-based and satellite observations of Pc5 geomagnetic pulsations during solar cycle 23 Open
Pc5 geomagnetic pulsations (PGPs) are ultra-low frequency (ULF) waves within the 1–7 mHz frequency band observed both in space and on the ground. PGPs offer versatile methods for studying the interaction between the magnetosphere and ionos…
View article: Dynamical analysis of a complex competitive two-strain epidemic network model with vaccination
Dynamical analysis of a complex competitive two-strain epidemic network model with vaccination Open
Developing accurate models to replicate epidemic transmission poses a significant challenge for researchers both now and in the foreseeable future. Therefore, this work proposes a new complex competitive two-strain epidemic network model t…
View article: Analyzing MEMS resonator static pull-in and dynamics under electric excitation via position feedback controller
Analyzing MEMS resonator static pull-in and dynamics under electric excitation via position feedback controller Open
The micro-electromechanical systems (MEMS) have efficacious and widespread use in several applications such as signal filtering, time referencing, sensing, and more. This paper’s aim is to study the effect of a position feedback controller…
View article: Prediction of Ionospheric Scintillations Using Machine Learning Techniques during Solar Cycle 24 across the Equatorial Anomaly
Prediction of Ionospheric Scintillations Using Machine Learning Techniques during Solar Cycle 24 across the Equatorial Anomaly Open
Ionospheric scintillation is a pressing issue in space weather studies due to its diverse effects on positioning, navigation, and timing (PNT) systems. Developing an accurate and timely prediction model for this event is crucial. In this w…
View article: Comparative Study of Ground-Based and Satellite Observations of Pc5 Geomagnetic Pulsations During Solar Cycle 23
Comparative Study of Ground-Based and Satellite Observations of Pc5 Geomagnetic Pulsations During Solar Cycle 23 Open
Pc5 geomagnetic pulsations (PGP) are ultra-low frequency (ULF) waves within the 1–7 mHz frequency band observed both in space and on the ground. PGPs offer versatile methods for studying the interaction between the magnetosphere and ionosp…
View article: Investigation of the weight effect on the oscillations of a magnetically-levitated body coupled to an energy harvester
Investigation of the weight effect on the oscillations of a magnetically-levitated body coupled to an energy harvester Open
Energy harvesting technology utilizes magnetic oscillations to produce electrical energy which in turn powers any small device. This paper discusses the numerical analysis of a non-ideal magnetic levitation system, with emphasis on the ene…
View article: Investigation of a MEMS resonator model with quintic nonlinearity
Investigation of a MEMS resonator model with quintic nonlinearity Open
Micro-electromechanical system (MEMS) resonator is decidedly utilized in a diversity of areas, including time referencing, movement sensing, signal filtration, mass detecting, and further numerous applications. The aim of this article is t…
View article: Non-differentiable kernel-based approximation of memory-dependent derivative for drug delivery applications
Non-differentiable kernel-based approximation of memory-dependent derivative for drug delivery applications Open
Although memory-dependent derivative (MDD) has recently been the subject of extensive study, only one numerical approximation has been reported in the literature. Hence, this study introduces a novel approximation for MDD. Moreover, a new …
View article: An accelerated iterative technique for solving mixed Fredholm-Volterra integral equations
An accelerated iterative technique for solving mixed Fredholm-Volterra integral equations Open
In this paper, we propose an accelerated numerical technique for solving mixed Fredholm-Volterra integral equations (MFVIEs). The MFVIE is solved using the two-grid iterative technique, which uses a small system of equations to reach highe…
View article: Deep Learning-Based Prediction of CME-Driven Shock Standoff Distances in Metric Type II Radio Emissions
Deep Learning-Based Prediction of CME-Driven Shock Standoff Distances in Metric Type II Radio Emissions Open
Type II radio emissions are events followed by coronal mass ejections (CMEs) and accelerated by the CME-driven shock in the heliosphere. This study reports on an estimate of CME-shock standoff distance at the commencement of metric type II…
View article: Chebyshev collocation method for an interface parabolic partial differential equation model of transdermal medication delivery and transcutaneous absorption
Chebyshev collocation method for an interface parabolic partial differential equation model of transdermal medication delivery and transcutaneous absorption Open
An effective scheme based on the finite difference and Chebyshev collocation method is introduced to acquire approximate solutions of a mass transfer problem model for transdermal medication delivery. A priori error estimation is derived. …
View article: Goal-oriented adaptive method for Fredholm partial integro-differential equations
Goal-oriented adaptive method for Fredholm partial integro-differential equations Open
In this article, a goal-oriented adaptive scheme is proposed for Fredholm partial integro-differential equations (FPIDEs). The aim of this work is to obtain higher accuracy approximations for the unknown function and its derivative at a gi…
View article: An adaptive finite element method for Riesz fractional partial integro-differential equations
An adaptive finite element method for Riesz fractional partial integro-differential equations Open
The Riesz fractional derivative has been employed to describe the spatial derivative in a variety of mathematical models. In this work, the accuracy of the finite element method (FEM) approximations to Riesz fractional derivative was enhan…
View article: Forecasting the transit times of earth-directed halo CMEs using artificial neural network: A case study application with GCS forward-modeling technique
Forecasting the transit times of earth-directed halo CMEs using artificial neural network: A case study application with GCS forward-modeling technique Open
Mitigating the lethal threats caused by coronal mass ejections (CMEs) on human and space operations can be accomplished with a fast and accurate forecast of Earth-directed CME transit times. The current paper presents a robust Cascade Forw…
View article: Flux recovery scheme for elliptic interface problems
Flux recovery scheme for elliptic interface problems Open
This paper introduces a flux recovery algorithm that ensures the continuity of the flux at the interface and improves its accuracy. At each subdomain created by an interface, the gradient is recovered using the polynomial preserving recove…
View article: A Markov Decision Process Framework for Optimal Cancer Chemotherapy Dose Selection
A Markov Decision Process Framework for Optimal Cancer Chemotherapy Dose Selection Open
Chemotherapy is arguably the most effective treatment for treating cancer. However, it triggers toxic effects on patients due to its interaction with normal cells. In this paper, we propose a finite-horizon Markov decision process framewor…
View article: Ghost attractor in fractional order blinking system and its application
Ghost attractor in fractional order blinking system and its application Open
In this paper, the occurrence of ghost attractor is verified in three cases of a proposed fractional order Rössler blinking system. Firstly, the dynamical behaviors of the short memory fractional order prototype-4 Rössler system with Chua’…
View article: Moving Taylor series for solving one-dimensional one-phase Stefan problem
Moving Taylor series for solving one-dimensional one-phase Stefan problem Open
In this work, a modified form of Taylor series is proposed which we call the moving Taylor series. We prove theorems that formulate coefficients of the proposed series along with the formula of its time-derivatives. This new form of power …
View article: Ghost Attractor in Fractional Order Blinking System and its Application
Ghost Attractor in Fractional Order Blinking System and its Application Open
In this paper, the occurrence of ghost attractor is verified in three cases of a proposed fractional order Rössler blinking system. Firstly, the dynamical behaviors of the short memory fractional order prototype-4 Rössler system with Chua’…