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Articles 1 - 30 of 55
Full-Text Articles in Ordinary Differential Equations and Applied Dynamics
Flow Anisotropy Due To Thread-Like Nanoparticle Agglomerations In Dilute Ferrofluids, Alexander Cali, Wah-Keat Lee, A. David Trubatch, Philip Yecko
Flow Anisotropy Due To Thread-Like Nanoparticle Agglomerations In Dilute Ferrofluids, Alexander Cali, Wah-Keat Lee, A. David Trubatch, Philip Yecko
Department of Applied Mathematics and Statistics Faculty Scholarship and Creative Works
Improved knowledge of the magnetic field dependent flow properties of nanoparticle-based magnetic fluids is critical to the design of biomedical applications, including drug delivery and cell sorting. To probe the rheology of ferrofluid on a sub-millimeter scale, we examine the paths of 550 μm diameter glass spheres falling due to gravity in dilute ferrofluid, imposing a uniform magnetic field at an angle with respect to the vertical. Visualization of the spheres’ trajectories is achieved using high resolution X-ray phase-contrast imaging, allowing measurement of a terminal velocity while simultaneously revealing the formation of an array of long thread-like accumulations of magnetic …
On The Qualitative Behaviors Of A Functional Differential Equation Of Second Order, Cemil Tunç
On The Qualitative Behaviors Of A Functional Differential Equation Of Second Order, Cemil Tunç
Applications and Applied Mathematics: An International Journal (AAM)
The aim of this paper is first to investigate the stability of the zero solution to a new Liénard type equation with multiple variable delays by two different methods. The methods to be used in the proofs involve the Lyapunov-Krasovskiĭ functional approach and the fixed point technique under an exponentially weighted metric, respectively. We make a comparison between the applications of these methods with the established conditions on the same stability problems. Then, we obtain three new results for uniformly stability and boundedness/ uniformly boundedness of the solutions to the considered equation by the Lyapunov-Krasovskiĭ functional approach. An example is …
A New Hybrid Method For Solving Nonlinear Fractional Differential Equations, R. Delpasand, M. M. Hosseini, F. M. Maalek Ghaini
A New Hybrid Method For Solving Nonlinear Fractional Differential Equations, R. Delpasand, M. M. Hosseini, F. M. Maalek Ghaini
Applications and Applied Mathematics: An International Journal (AAM)
In this paper, numerical solution of initial and boundary value problems for nonlinear fractional differential equations is considered by pseudospectral method. In order to avoid solving systems of nonlinear equations resulting from the method, the residual function of the problem is constructed, as well as a suggested unconstrained optimization model solved by PSOGSA algorithm. Furthermore, the research inspects and discusses the spectral accuracy of Chebyshev polynomials in the approximation theory. The following scheme is tested for a number of prominent examples, and the obtained results demonstrate the accuracy and efficiency of the proposed method.
On The Lp-Spaces Techniques In The Existence And Uniqueness Of The Fuzzy Fractional Korteweg-De Vries Equation’S Solution, F. Farahrooz, A. Ebadian, S. Najafzadeh
On The Lp-Spaces Techniques In The Existence And Uniqueness Of The Fuzzy Fractional Korteweg-De Vries Equation’S Solution, F. Farahrooz, A. Ebadian, S. Najafzadeh
Applications and Applied Mathematics: An International Journal (AAM)
In this paper, is proposed the existence and uniqueness of the solution of all fuzzy fractional differential equations, which are equivalent to the fuzzy integral equation. The techniques on LP-spaces are used, defining the LpF F ([0; 1]) for 1≤P≤∞, its properties, and using the functional analysis methods. Also the convergence of the method of successive approximations used to approximate the solution of fuzzy integral equation be proved and an iterative procedure to solve such equations is presented.
Thermoelastic Analysis Of A Nonhomogeneous Hollow Cylinder With Internal Heat Generation, V. R. Manthena, N. K. Lamba, G. D. Kedar
Thermoelastic Analysis Of A Nonhomogeneous Hollow Cylinder With Internal Heat Generation, V. R. Manthena, N. K. Lamba, G. D. Kedar
Applications and Applied Mathematics: An International Journal (AAM)
In the present paper, we have determined the heat conduction and thermal stresses of a hollow cylinder with inhomogeneous material properties and internal heat generation. All the material properties except Poisson’s ratio and density are assumed to be given by a simple power law in axial direction. We have obtained the solution of the two dimensional heat conduction equation in the transient state in terms of Bessel’s and trigonometric functions. The influence of inhomogeneity on the thermal and mechanical behavior is examined. Numerical computations are carried out for both homogeneous and nonhomogeneous cylinders and are represented graphically.
On The Existence Of Bogdanov-Takens Bifurcations, Zachary Deskin
On The Existence Of Bogdanov-Takens Bifurcations, Zachary Deskin
Graduate Theses/Dissertations
In bifurcation theory, there is a theorem (called Sotomayor's Theorem) which proves the existence of one of three possible bifurcations of a given system, provided that certain conditions of the system are satisfied. It turns out that there is a "similar" theorem for proving the existence of what is referred to as a Bogdanov-Takens bifurcation. The author is only aware of one reference that has the proof of this theorem. However, most of the details were left out of the proof. The contribution of this thesis is to provide the details of the proof on the existence of Bogdanov-Takens bifurcations.
Stochastic Analysis Of A Mammalian Circadian Clock Model: Small Protein Number Effects, David W. Morgens, Blerta Shtylla
Stochastic Analysis Of A Mammalian Circadian Clock Model: Small Protein Number Effects, David W. Morgens, Blerta Shtylla
Spora: A Journal of Biomathematics
The circadian clock, responsible for coordinating organism function with daily and seasonal changes in the day-night cycle, is controlled by a complex protein network that constitutes a robust biochemical oscillator. Deterministic ordinary differential equation models have been used extensively to model the behavior of these central clocks. However, due to the small number of proteins involved in the circadian oscillations, mathematical models that track stochastic variations in the numbers of clock proteins may reveal more complex and biologically relevant behaviors. In this paper, we compare the response of a robust yet detailed deterministic model for the mammalian circadian clock with …
Age-Structured And Vaccination Models Of Devil Facial Tumor Disease, Christopher D. Bruno, Timothy Comar, Megan O. Powell, Adjo Tameklo
Age-Structured And Vaccination Models Of Devil Facial Tumor Disease, Christopher D. Bruno, Timothy Comar, Megan O. Powell, Adjo Tameklo
Spora: A Journal of Biomathematics
Tasmanian devil populations have been devastated by devil facial tumor disease (DFTD) since its first appearance in 1996. The average lifespan of a devil has decreased from six years to three years. We present an age-structured model to represent how the disease has affected the age and breeding structures of the population. We show that with the recent increase in the breeding of juvenile devils, the overall devil population will increase but not nearly to pre-DFTD levels. The basic reproductive number may be increased with the influx of young breeding devils. In addition, our model shows that the release of …
Differential Equations Of Dynamical Order, Andrei Ludu, Harihar Khanal
Differential Equations Of Dynamical Order, Andrei Ludu, Harihar Khanal
Publications
No abstract provided.
Electromagnetic Resonant Scattering In Layered Media With Fabrication Errors, Emily Anne Mchenry
Electromagnetic Resonant Scattering In Layered Media With Fabrication Errors, Emily Anne Mchenry
LSU Doctoral Dissertations
In certain layered electromagnetic media, one can construct a waveguide that supports a harmonic electromagnetic field at a frequency that is embedded in the continuous spectrum. When the structure is perturbed, this embedded eigenvalue moves into the complex plane and becomes a “complex resonance” frequency. The real and imaginary parts of this complex frequency have physical meaning. They lie behind anomalous scattering behaviors known collectively as “Fano resonance”, and people are interested in tuning them to specific values in optical devices. The mathematics involves spectral theory and analytic perturbation theory and is well understood [16], at least on a theoretical …
Mathematical Modeling Of Tumor Immune Interactions: A Closer Look At The Role Of A Pd-L1 Inhibitor In Cancer Immunotherapy, Timothy Woods Ii
Mathematical Modeling Of Tumor Immune Interactions: A Closer Look At The Role Of A Pd-L1 Inhibitor In Cancer Immunotherapy, Timothy Woods Ii
Annual Symposium on Biomathematics and Ecology Education and Research
No abstract provided.
The Dynamics Of An Epidemiological Model For Human Papillomavirus With Partial Vaccination In A Heterogeneous Population, Stefano Chiaradonna
The Dynamics Of An Epidemiological Model For Human Papillomavirus With Partial Vaccination In A Heterogeneous Population, Stefano Chiaradonna
Annual Symposium on Biomathematics and Ecology Education and Research
No abstract provided.
Dftd Age Structure And Vaccination Modeling, Christopher D. Bruno
Dftd Age Structure And Vaccination Modeling, Christopher D. Bruno
Annual Symposium on Biomathematics and Ecology Education and Research
No abstract provided.
Modeling The Growth Of Psedomonas Putida By Gompertz Dynamic Equations, Elvan Akin
Modeling The Growth Of Psedomonas Putida By Gompertz Dynamic Equations, Elvan Akin
Annual Symposium on Biomathematics and Ecology Education and Research
No abstract provided.
When Is Closing A School Effective For Stopping Disease Spread?, Anthony Delegge
When Is Closing A School Effective For Stopping Disease Spread?, Anthony Delegge
Annual Symposium on Biomathematics and Ecology Education and Research
No abstract provided.
Optimal Control And Models For Alternative Pest Management To Alfalfa Agroecosystems, Mohammed Yahdi
Optimal Control And Models For Alternative Pest Management To Alfalfa Agroecosystems, Mohammed Yahdi
Annual Symposium on Biomathematics and Ecology Education and Research
No abstract provided.
The Kinetics Of Type I Interferons During Influenza A Virus Infection, Margaret A. Myers
The Kinetics Of Type I Interferons During Influenza A Virus Infection, Margaret A. Myers
Annual Symposium on Biomathematics and Ecology Education and Research
No abstract provided.
Modeling Cdc42 Oscillation In Fission Yeast, Bin Xu
Modeling Cdc42 Oscillation In Fission Yeast, Bin Xu
Annual Symposium on Biomathematics and Ecology Education and Research
No abstract provided.
One Tick, Two Tick, Two Pathogens, Oh No! Am I Sick?, Caleb L. Adams
One Tick, Two Tick, Two Pathogens, Oh No! Am I Sick?, Caleb L. Adams
Annual Symposium on Biomathematics and Ecology Education and Research
No abstract provided.
A Model Of Dengue Transmission With Wolbachia-Free And Wolbachia-Infected Mosquitoes, Iftikhar Ahmed
A Model Of Dengue Transmission With Wolbachia-Free And Wolbachia-Infected Mosquitoes, Iftikhar Ahmed
Annual Symposium on Biomathematics and Ecology Education and Research
No abstract provided.
The Role Of The Avian Nesting Curve In Enzootic West Nile Virus Transmission, Suzanne Robertson
The Role Of The Avian Nesting Curve In Enzootic West Nile Virus Transmission, Suzanne Robertson
Annual Symposium on Biomathematics and Ecology Education and Research
No abstract provided.
A Simulation Of Anthropogenic Columbian Mammoth Extinction, Alex Capaldi
A Simulation Of Anthropogenic Columbian Mammoth Extinction, Alex Capaldi
Annual Symposium on Biomathematics and Ecology Education and Research
No abstract provided.
Modeling The Influence Of El Niño On Parasite Transmission In Sand Crab Populations And Seabird Abundance Along The California Coast, James Peirce, Olcay Akman, Abou Seck
Modeling The Influence Of El Niño On Parasite Transmission In Sand Crab Populations And Seabird Abundance Along The California Coast, James Peirce, Olcay Akman, Abou Seck
Annual Symposium on Biomathematics and Ecology Education and Research
No abstract provided.
The Role Of Intermittent Preventive Treatment For Malaria In Saving Lives And Promoting Drug Resistance, Carrie Manore
The Role Of Intermittent Preventive Treatment For Malaria In Saving Lives And Promoting Drug Resistance, Carrie Manore
Annual Symposium on Biomathematics and Ecology Education and Research
No abstract provided.
Control Of Swimmer's Itch, Daniel Bonneville
Control Of Swimmer's Itch, Daniel Bonneville
Annual Symposium on Biomathematics and Ecology Education and Research
No abstract provided.
Connecting Parasite-Infected Crab Data To Shorebird Mortality During El Niño Seasons, Emily Mcclung
Connecting Parasite-Infected Crab Data To Shorebird Mortality During El Niño Seasons, Emily Mcclung
Annual Symposium on Biomathematics and Ecology Education and Research
No abstract provided.
Mathematical Medicine: Modeling Disease And Treatment, Lisette Depillis
Mathematical Medicine: Modeling Disease And Treatment, Lisette Depillis
Annual Symposium on Biomathematics and Ecology Education and Research
No abstract provided.
Analysis And Implementation Of Numerical Methods For Solving Ordinary Differential Equations, Muhammad Sohel Rana
Analysis And Implementation Of Numerical Methods For Solving Ordinary Differential Equations, Muhammad Sohel Rana
Masters Theses & Specialist Projects
Numerical methods to solve initial value problems of differential equations progressed quite a bit in the last century. We give a brief summary of how useful numerical methods are for ordinary differential equations of first and higher order. In this thesis both computational and theoretical discussion of the application of numerical methods on differential equations takes place. The thesis consists of an investigation of various categories of numerical methods for the solution of ordinary differential equations including the numerical solution of ordinary differential equations from a number of practical fields such as equations arising in population dynamics and astrophysics. It …
High-Order Relaxed Multirate Infinitesimal Step Methods For Multiphysics Applications, Jean Sexton
High-Order Relaxed Multirate Infinitesimal Step Methods For Multiphysics Applications, Jean Sexton
Mathematics Theses and Dissertations
In this work, we consider numerical methods for integrating multirate ordinary differential equations. We are interested in the development of new multirate methods with good stability properties and improved efficiency over existing methods. We discuss the development of multirate methods, particularly focusing on those that are based on Runge-Kutta theory. We introduce the theory of Generalized Additive Runge-Kutta methods proposed by Sandu and Günther. We also introduce the theory of Recursive Flux Splitting Multirate Methods with Sub-cycling described by Schlegel, as well as the Multirate Infinitesimal Step methods this work is based on. We propose a generic structure called Flexible …
On The Ramberg-Osgood Stress-Strain Model And Large Deformations Of Cantilever Beams, Ronald J. Giardina Jr
On The Ramberg-Osgood Stress-Strain Model And Large Deformations Of Cantilever Beams, Ronald J. Giardina Jr
LSU New Orleans Theses and Dissertations
In this thesis the Ramberg-Osgood nonlinear model for describing the behavior of many different materials is investigated. A brief overview of the model as it is currently used in the literature is undertaken and several misunderstandings and possible pitfalls in its application is pointed out, especially as it pertains to more recent approaches to finding solutions involving the model. There is an investigation of the displacement of a cantilever beam under a combined loading consisting of a distributed load across the entire length of the beam and a point load at its end and new solutions to this problem are …