A Numerical Solution for Fractional Damped Mechanical Oscillator Equation
Journal Title: Scholars Journal of Physics, Mathematics and Statistics - Year 2017, Vol 4, Issue 4
Abstract
In this article, we have investigated the numerical approach for solving the fractional damped mechanical oscillator equation, which has an important role in fractional calculus. Damped mechanical oscillator equation equation is solved by Bernoulli collocation method with the aid of the computer symbolic language of Maple2016. This method transforms the damped mechanical oscillator equation into matrix equations. Then, the problem has been reduced to solving linear algebraic equations.
Authors and Affiliations
GülGözdeBiçer Şarlak, Ayşe Anapalı, Yalçın Öztürk, Mustafa Gülsu
Keywords
Related Articles
- EP ID EP385834
- DOI -
- Views 76
- Downloads 0
Adaptive Learning Rate SGD AlgorithmforSVM
Stochastic gradient descent (SGD) is a simple and effective algorithm for solving the optimization problem of support vector machine, where each iteration operates on a single training example. The run-time of SGD does n...
Algorithm for Fuzzy Maximum Flow Probdlemin Hyper-Network Setting (II)
Maximum flow problem on hypergraphs (hyper-networks) is an extension of maximum flowproblem on normal graphs. In this report, we discuss a generalized fuzzy version of maximumflow problem in hyper-networks setting, and a...
Investigation and Analysis of Campus "Borrowed"
With the rapid development of social economy and network information, as a product of Internet finance, the Internet loan industry is also developing rapidly. However, the emergence of campus network credit has lifted th...
Diamond Osculating Planes of Curves on Time Scales
In this paper, we present normal, binormal, and osculating plane of diamond regular curves on time scales. We also study their equations analytically.
A Note on the Application of Wazewski’s Topological Method to an Integro- Differential Equation of Volterra Type
The purpose of this note is to generalize the Wazewski’s Topological Method 11, originally stated for ordinary differential equations, to the integro – differential equation of Volterra type (1), under suitable conditi...