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Articles 241 - 270 of 417
Full-Text Articles in Applied Mathematics
Numerical Solution Of Fractional Integro-Differential Equations With Nonlocal Conditions, M. Jani, D. Bhatta, S. Javadi
Numerical Solution Of Fractional Integro-Differential Equations With Nonlocal Conditions, M. Jani, D. Bhatta, S. Javadi
Applications and Applied Mathematics: An International Journal (AAM)
In this paper, we present a numerical method for solving fractional integro-differential equations with nonlocal boundary conditions using Bernstein polynomials. Some theoretical considerations regarding fractional order derivatives of Bernstein polynomials are discussed. The error analysis is carried out and supported with some numerical examples. It is shown that the method is simple and accurate for the given problem.
Numerical Study Of Soliton Solutions Of Kdv, Boussinesq, And Kaup-Kuperschmidt Equations Based On Jacobi Polynomials, Khadijeh Sadri, Hamideh Ebrahimi
Numerical Study Of Soliton Solutions Of Kdv, Boussinesq, And Kaup-Kuperschmidt Equations Based On Jacobi Polynomials, Khadijeh Sadri, Hamideh Ebrahimi
Applications and Applied Mathematics: An International Journal (AAM)
In this paper, a numerical method is developed to approximate the soliton solutions of some nonlinear wave equations in terms of the Jacobi polynomials. Wave are very important phenomena in dispersion, dissipation, diffusion, reaction, and convection. Using the wave variable converts these nonlinear equations to the nonlinear ODE equations. Then, the operational Collocation method based on Jacobi polynomials as bases is applied to approximate the solution of ODE equation resulted. In addition, the intervals of the solution will be extended using an rational exponential approximation (REA). The KdV, Boussinesq, and Kaup–Kuperschmidt equations are studied as the test examples. Finally, numerical …
Finite Difference Schemes For Variable Order Time-Fractional First Initial Boundary Value Problems, Gunvant A. Birajdar, M. M. Rashidi
Finite Difference Schemes For Variable Order Time-Fractional First Initial Boundary Value Problems, Gunvant A. Birajdar, M. M. Rashidi
Applications and Applied Mathematics: An International Journal (AAM)
The aim of the study is to obtain the numerical solution of first initial boundary value problem (IBVP) for semi-linear variable order fractional diffusion equation by using different finite difference schemes. We developed the three finite difference schemes namely explicit difference scheme, implicit difference scheme and Crank-Nicolson difference scheme, respectively for variable order type semi-linear diffusion equation. For this scheme the stability as well as convergence are studied via Fourier method. At the end, solution of some numerical examples are discussed and represented graphically using Matlab.
Application Of Kudryashov Method For The Ito Equations, Mozhgan Akbari
Application Of Kudryashov Method For The Ito Equations, Mozhgan Akbari
Applications and Applied Mathematics: An International Journal (AAM)
In this present work, the Kudryashov method is used to construct exact solutions of the (1+1)- dimensional and the (1+2)-dimensional form of the generalized Ito integro-differential equation. The Kudryashov method is a powerful method for obtaining exact solutions of nonlinear evolution equations. This method can be applied to non-integrable equations as well as integrable ones.
Highly Hamiltonian Graphs And Digraphs, Zhenming Bi
Highly Hamiltonian Graphs And Digraphs, Zhenming Bi
Dissertations
A cycle that contains every vertex of a graph or digraph is a Hamiltonian cycle. A graph or digraph containing such a cycle is itself called Hamiltonian. This concept is named for the famous Irish physicist and mathematician Sir William Rowan Hamilton. These graphs and digraphs have been the subject of study for over six decades. In this dissertation, we study graphs and digraphs with even stronger Hamiltonian properties, namely highly Hamiltonian graphs and digraphs.
Fast Algorithms On Random Matrices And Structured Matrices, Liang Zhao
Fast Algorithms On Random Matrices And Structured Matrices, Liang Zhao
Dissertations, Theses, and Capstone Projects
Randomization of matrix computations has become a hot research area in the big data era. Sampling with randomly generated matrices has enabled fast algorithms to perform well for some most fundamental problems of numerical algebra with probability close to 1. The dissertation develops a set of algorithms with random and structured matrices for the following applications: 1) We prove that using random sparse and structured sampling enables rank-r approximation of the average input matrix having numerical rank r. 2) We prove that Gaussian elimination with no pivoting (GENP) is numerically safe for the average nonsingular and well-conditioned matrix preprocessed with …
Scalable And Fully Distributed Localization In Large-Scale Sensor Networks, Miao Jin, Su Xia, Hongyi Wu, Xianfeng David Gu
Scalable And Fully Distributed Localization In Large-Scale Sensor Networks, Miao Jin, Su Xia, Hongyi Wu, Xianfeng David Gu
Electrical & Computer Engineering Faculty Publications
This work proposes a novel connectivity-based localization algorithm, well suitable for large-scale sensor networks with complex shapes and a non-uniform nodal distribution. In contrast to current state-of-the-art connectivity-based localization methods, the proposed algorithm is highly scalable with linear computation and communication costs with respect to the size of the network; and fully distributed where each node only needs the information of its neighbors without cumbersome partitioning and merging process. The algorithm is theoretically guaranteed and numerically stable. Moreover, the algorithm can be readily extended to the localization of networks with a one-hop transmission range distance measurement, and the propagation of …
Revisiting Assert Use In Github Projects, Pavneet Singh Kochhar, David Lo
Revisiting Assert Use In Github Projects, Pavneet Singh Kochhar, David Lo
Research Collection School Of Computing and Information Systems
Assertions are often used to test the assumptions that developers have about a program. An assertion contains a boolean expression which developers believe to be true at a particular program point. It throws an error if the expression is not satisfied, which helps developers to detect and correct bugs. Since assertions make developer assumptions explicit, assertions are also believed to improve under-standability of code. Recently, Casalnuovo et al. analyse C and C++ programs to understand the relationship between assertion usage and defect occurrence. Their results show that asserts have a small effect on reducing the density of bugs and developers …
Measuring The Reflection Matrix Of A Rough Surface, Kenneth W. Burgi, Michael A. Marciniak, Mark E. Oxley, Stephen E. Nauyoks
Measuring The Reflection Matrix Of A Rough Surface, Kenneth W. Burgi, Michael A. Marciniak, Mark E. Oxley, Stephen E. Nauyoks
Faculty Publications
Phase modulation methods for imaging around corners with reflectively scattered light required illumination of the occluded scene with a light source either in the scene or with direct line of sight to the scene. The RM (reflection matrix) allows control and refocusing of light after reflection, which could provide a means of illuminating an occluded scene without access or line of sight. Two optical arrangements, one focal-plane, the other an imaging system, were used to measure the RM of five different rough-surface reflectors. Intensity enhancement values of up to 24 were achieved. Surface roughness, correlation length, and slope were examined …
Conference Schedule (2017), Association Of Christians In The Mathematical Sciences
Conference Schedule (2017), Association Of Christians In The Mathematical Sciences
ACMS Conference Proceedings 2017
No abstract provided.
Table Of Contents (2017), Association Of Christians In The Mathematical Sciences
Table Of Contents (2017), Association Of Christians In The Mathematical Sciences
ACMS Conference Proceedings 2017
No abstract provided.
Association Of Christians In The Mathematical Sciences Proceedings 2017, Association Of Christians In The Mathematical Sciences
Association Of Christians In The Mathematical Sciences Proceedings 2017, Association Of Christians In The Mathematical Sciences
ACMS Conference Proceedings 2017
The conference proceedings of the Association of Christians in the Mathematical Sciences biannual conference, May 31-June 2, 2017 at Charleson Southern University.
Uncovering Functional Relationships In Leukemia, Reginald Mcgee
Uncovering Functional Relationships In Leukemia, Reginald Mcgee
Biology and Medicine Through Mathematics Conference
No abstract provided.
Modeling Hiv Dynamics Following 3bnc117 Antibody Infusion, Samantha Erwin
Modeling Hiv Dynamics Following 3bnc117 Antibody Infusion, Samantha Erwin
Biology and Medicine Through Mathematics Conference
No abstract provided.
On The Analysis Of The Sir Epidemic Model For Small Networks: An Application In Hospital Settings, Martin Lopez-Garcia
On The Analysis Of The Sir Epidemic Model For Small Networks: An Application In Hospital Settings, Martin Lopez-Garcia
Biology and Medicine Through Mathematics Conference
No abstract provided.
Balanced Excitation And Inhibition Shapes The Dynamics Of A Neuronal Network For Movement And Reward, Anca R. Radulescu
Balanced Excitation And Inhibition Shapes The Dynamics Of A Neuronal Network For Movement And Reward, Anca R. Radulescu
Biology and Medicine Through Mathematics Conference
No abstract provided.
Oscillations In Epidemic Models With Spread Of Awareness, Ying Xin
Oscillations In Epidemic Models With Spread Of Awareness, Ying Xin
Biology and Medicine Through Mathematics Conference
No abstract provided.
Analyzing Sexual Transmission In The Spread Of The Zika Virus In Colombia, Victoria M. Kelley
Analyzing Sexual Transmission In The Spread Of The Zika Virus In Colombia, Victoria M. Kelley
Biology and Medicine Through Mathematics Conference
No abstract provided.
A Single Shape From Multiple Cues: How Local And Global Information Organizes Shape Inference, Benjamin Kunsberg, Steven W. Zucker
A Single Shape From Multiple Cues: How Local And Global Information Organizes Shape Inference, Benjamin Kunsberg, Steven W. Zucker
MODVIS Workshop
No abstract provided.
High Performance Computation Of Cardiac Models In Real-Time Using Webgl, Abouzar Kaboudian, Flavio H. Fenton
High Performance Computation Of Cardiac Models In Real-Time Using Webgl, Abouzar Kaboudian, Flavio H. Fenton
Biology and Medicine Through Mathematics Conference
No abstract provided.
The Role Of E-Antigen In Hepatitiv B Virus Infection, Mirjam Sarah Kadelka
The Role Of E-Antigen In Hepatitiv B Virus Infection, Mirjam Sarah Kadelka
Biology and Medicine Through Mathematics Conference
No abstract provided.
Applying Fmri Complexity Analyses To The Single-Subject: A Case Study For Proposed Neurodiagnostics, Anca R. Radulescu, Emily R. Hannon
Applying Fmri Complexity Analyses To The Single-Subject: A Case Study For Proposed Neurodiagnostics, Anca R. Radulescu, Emily R. Hannon
Biology and Medicine Through Mathematics Conference
No abstract provided.
Noisy Neural Oscillators With Intrinsic And Network Heterogeneity, Kyle P. Wendling, Cheng Ly
Noisy Neural Oscillators With Intrinsic And Network Heterogeneity, Kyle P. Wendling, Cheng Ly
Biology and Medicine Through Mathematics Conference
No abstract provided.
A Large Reaction-Diffusion Model For Cell Polarization In Yeast, Marissa Renardy
A Large Reaction-Diffusion Model For Cell Polarization In Yeast, Marissa Renardy
Biology and Medicine Through Mathematics Conference
No abstract provided.
An Interdisciplinary Approach To Computational Neurostimulation, Madison Guitard
An Interdisciplinary Approach To Computational Neurostimulation, Madison Guitard
Biology and Medicine Through Mathematics Conference
No abstract provided.
Evolution Of Influenza H3n2: A Random Walk In High Dimensions, James R. Moore
Evolution Of Influenza H3n2: A Random Walk In High Dimensions, James R. Moore
Biology and Medicine Through Mathematics Conference
No abstract provided.
A Model For A Parameter Related To Free Virus Production From Infected Target Cells, Evan C. Haskell
A Model For A Parameter Related To Free Virus Production From Infected Target Cells, Evan C. Haskell
Biology and Medicine Through Mathematics Conference
No abstract provided.
Mathematical Modeling Of Normal And Abnormal Responses To The Valsalva Maneuver, Eric Benjamin Randall
Mathematical Modeling Of Normal And Abnormal Responses To The Valsalva Maneuver, Eric Benjamin Randall
Biology and Medicine Through Mathematics Conference
No abstract provided.
The Kinetics Of Type I Interferons During Influenza Virus Infection, Margaret A. Myers
The Kinetics Of Type I Interferons During Influenza Virus Infection, Margaret A. Myers
Biology and Medicine Through Mathematics Conference
No abstract provided.
Dynamics Of Fluorescent Imaging In Glob-Driven Breakup, Lan Zhong, Christiaan Ketelaar, Richard J. Braun, Carolyn G. Begley, Peter Ewen King-Smith
Dynamics Of Fluorescent Imaging In Glob-Driven Breakup, Lan Zhong, Christiaan Ketelaar, Richard J. Braun, Carolyn G. Begley, Peter Ewen King-Smith
Biology and Medicine Through Mathematics Conference
No abstract provided.