On the Derivation and Analysis of a Highly Efficient Method for the Approximation of Quadratic Riccati Equations
Journal Title: Computer Reviews Journal - Year 2018, Vol 1, Issue 2
Abstract
A highly e¢cient method is derived and analyzed in this paper for the approximation of Quadratic Riccati Equations (QREs) using interpolation and collocation procedure. The derivation is carried out within a two-step integration interval. We are motivated to derive a method that approximates QREs (which are nonlinear differential equations that have a great deal of applications in science and engineering). Furthermore, the basic properties of the newly derived method, which include the order of accuracy, convergence, zero-stability, consistence and region of absolute stability were analyzed. The method derived was also applied to solve some QREs and from the results generated, it was clear that the new method performed better than the ones with which we juxtaposed our results with.
Authors and Affiliations
Joshua Sunday
Keywords
Related Articles
- EP ID EP477622
- DOI -
- Views 121
- Downloads 0
Novel Use of an Artificial Neural Network to Computationally Model Cognitive Processes in Science Learning
The purpose of this paper is to outline the creation of a computational model making use of an underlying processing element in the form of an artificial neural network (ANN). Within the study, the ANN models multiple co...
The MOUSE approach: Mapping Ontologies using UML for System Engineers
To address the problem of semantic heterogeneity, there has been a large body of research directed toward the study of semantic mapping technologies. Although various semantic mapping technologies have been investigated,...
Review of Routing Protocol in a Wireless Sensor Network for an IOT Application
IoT (Internet of Things) create network of physical objects. Maximize network lifetime and optimizing the usage of network is the major objective. Survey is made on Delay, Energy, Jitter, Throughput, Packet Delivery Rati...
Comparative Analysis of Predictive Models for the Likelihood of Infertility in Women Using Supervised Machine Learning Techniques
Infertility is a worldwide problem, affecting 8% – 15% of the couples in their reproductive age. WHO estimates that there are 60 - 80 million infertile couples worldwide with the highest incidence in some regions of Sub-...
Geographic Information Systems: A Survey
At its core GIS or Geographical Information System, is a mapping tool that allows various types of information to be linked to geolocation. With advances in Big Data technologies, the availability of a large and ever-inc...