Open Access. Powered by Scholars. Published by Universities.®
- Institution
- Keyword
-
- Analysis (1)
- Ball convergence (1)
- Banach spaces and several complex variables (1)
- Caputo fractional derivative (1)
- Chebyshev polynomials (1)
-
- Convergence (1)
- Derivative (1)
- Differential transform method (1)
- Dirichlet (1)
- Divided difference (1)
- Faber polynomial approximation (1)
- Fast Fourier Transform (1)
- Fractional calculus (1)
- Generalized Abel’s integral equations (1)
- Generalized order of growth (1)
- Inexact method (1)
- Laguerre polynomials (1)
- Math (1)
- Modeling (1)
- Naive Bayes (1)
- Numerical (1)
- Orthogonal approximation (1)
- Partial differential equation (1)
- Radius of convergence (1)
- Twitter (1)
- Twodimensional integral equation (1)
- Unit polydisk (1)
- Zero with multiplicity (1)
- Publication
- Publication Type
Articles 1 - 6 of 6
Full-Text Articles in Analysis
Solutions Of The Generalized Abel’S Integral Equation Using Laguerre Orthogonal Approximation, N. Singha, C. Nahak
Solutions Of The Generalized Abel’S Integral Equation Using Laguerre Orthogonal Approximation, N. Singha, C. Nahak
Applications and Applied Mathematics: An International Journal (AAM)
In this paper, a numerical approximation is drafted for solving the generalized Abel’s integral equation by practicing Laguerre orthogonal polynomials. The proposed approximation is framed for the first and second kinds of the generalized Abel’s integral equation. We have utilized the properties of fractional order operators to interpret Abel’s integral equation as a fractional integral equation. It offers a new approach by employing Laguerre polynomials to approximate the integrand of a fractional integral equation. Given examples demonstrate the simplicity and suitability of the method. The graphical representation of exact and approximate solutions helps in visualizing a solution at discrete points, …
Krylov Subspace Spectral Methods With Non-Homogenous Boundary Conditions, Abbie Hendley
Krylov Subspace Spectral Methods With Non-Homogenous Boundary Conditions, Abbie Hendley
Master's Theses
For this thesis, Krylov Subspace Spectral (KSS) methods, developed by Dr. James Lambers, will be used to solve a one-dimensional, heat equation with non-homogenous boundary conditions. While current methods such as Finite Difference are able to carry out these computations efficiently, their accuracy and scalability can be improved. We will solve the heat equation in one-dimension with two cases to observe the behaviors of the errors using KSS methods. The first case will implement KSS methods with trigonometric initial conditions, then another case where the initial conditions are polynomial functions. We will also look at both the time-independent and time-dependent …
Generalized Differential Transform Method For Solving Some Fractional Integro-Differential Equations, S. Shahmorad, A. A. Khajehnasiri
Generalized Differential Transform Method For Solving Some Fractional Integro-Differential Equations, S. Shahmorad, A. A. Khajehnasiri
Applications and Applied Mathematics: An International Journal (AAM)
In this paper, we use a generalized form of two-dimensional Differential Transform (2D-DT) to solve a new class of fractional integro-differential equations. We express some useful properties of the new transform as a proposition and prove a convergence theorem. Then we illustrate the method with numerical examples.
Unified Ball Convergence Of Inexact Methods For Finding Zeros With Multiplicity, Ioannis K. Argyros, Santhosh George
Unified Ball Convergence Of Inexact Methods For Finding Zeros With Multiplicity, Ioannis K. Argyros, Santhosh George
Applications and Applied Mathematics: An International Journal (AAM)
We present an extended ball convergence of inexact methods for approximating a zero of a nonlinear equation with multiplicity m; where m is a natural number. Many popular methods are special cases of the inexact method.
Generalized Growth And Faber Polynomial Approximation Of Entire Functions Of Several Complex Variables In Some Banach Spaces, Devendra Kumar, Manisha Vijayran
Generalized Growth And Faber Polynomial Approximation Of Entire Functions Of Several Complex Variables In Some Banach Spaces, Devendra Kumar, Manisha Vijayran
Applications and Applied Mathematics: An International Journal (AAM)
In this paper the relationship between the generalized order of growth of entire functions of many complex variables m(m ≥ 2) over Jordan domains and the sequence of Faber polynomial approximations in some Banach spaces has been investigated. Our results improve the various results shown in the literature.
Predicting How People Vote From How They Tweet, Rao B. Vinnakota
Predicting How People Vote From How They Tweet, Rao B. Vinnakota
Senior Projects Spring 2019
In 2016 Donald Trump stunned the nation and not a single pollster predicted the outcome. For the last few decades, pollsters have relied on phone banking as their main source of information. There is reason to believe that this method does not present the complete picture it once did due to several factors--less landline usage, a younger and more active electorate, and the rise of social media. Social media specifically has grown in prominence and become a forum for political debate. This project quantitatively analyzes political twitter data and leverages machine learning techniques such as Naive-Bayes to model election results. …