3.1 Algorithm for Successive Approximation

2011 ◽  
pp. 125-126
Keyword(s):  
Successive Approximation

Some numerical graphs with successive approximation method of fractional integro–differential equation

2019 ◽  
Vol 8 (4) ◽  
pp. 36
Author(s):  
Samir H. Abbas
Keyword(s):  
Differential Equation ◽  
Successive Approximation ◽  
Approximation Method ◽  
Existence And Uniqueness ◽  
Successive Approximation Method ◽  
Integro Differential Equation

This paper studies the existence and uniqueness solution of fractional integro-differential equation, by using some numerical graphs with successive approximation method of fractional integro –differential equation. The results of written new program in Mat-Lab show that the method is very interested and efficient. Also we extend the results of Butris [3].

The Methodology of Wealth of Nations

2017 ◽  
Author(s):  
Eric Schliesser
Keyword(s):  
Successive Approximation ◽  
David Hume ◽  
Scientific Theory ◽  
Research Tool ◽  
Natural Course ◽  
Market Prices ◽  
Wealth Of Nations ◽  
Natural Prices

This chapter aims to give an interpretation of Adam Smith’s main methods in Wealth of Nations. It does so by focusing on the crucial analytical distinction between natural prices and market prices. Smith postulates a “natural course” of events in order to stimulate research into institutions and other causes that cause actual events to deviate from it. For Smith, scientific theory is among other functions, a research tool that allows for a potentially open-ended process of successive approximation. Smith’s explanation of the introduction of commerce in Europe is contrasted with that of his friend and forerunner David Hume. Hume’s essay “Of the Populousness of Ancient Nations” may have inspired Smith to develop his method.

scholarly journals Ulam-Hyers Stability and Ulam-Hyers-Rassias Stability for Fuzzy Integrodifferential Equation

Complexity ◽  
2019 ◽  
Vol 2019 ◽  
pp. 1-10 ◽  
Author(s):  
Nguyen Ngoc Phung ◽  
Bao Quoc Ta ◽  
Ho Vu
Keyword(s):  
Fixed Point ◽  
Successive Approximation ◽  
Integrodifferential Equation ◽  
Approximation Method ◽  
Fixed Point Method ◽  
Integrodifferential Equations ◽  
Point Method ◽  
Successive Approximation Method ◽  
Rassias Stability

In this paper, we establish the Ulam-Hyers stability and Ulam-Hyers-Rassias stability for fuzzy integrodifferential equations by using the fixed point method and the successive approximation method.

scholarly journals Application of the Multiverse Optimization Method to Solve the Optimal Power Flow Problem in Direct Current Electrical Networks

2021 ◽  
Vol 13 (16) ◽  
pp. 8703
Author(s):  
Andrés Alfonso Rosales-Muñoz ◽  
Luis Fernando Grisales-Noreña ◽  
Jhon Montano ◽  
Oscar Danilo Montoya ◽  
Alberto-Jesus Perea-Moreno
Keyword(s):  
Objective Function ◽  
Successive Approximation ◽  
Direct Current ◽  
Optimization Algorithm ◽  
Power Flow ◽  
Optimal Power Flow ◽  
Flow Problem ◽  
Distributed Generators ◽  
Optimal Power ◽  
Power Flow Problem

This paper addresses the optimal power flow problem in direct current (DC) networks employing a master–slave solution methodology that combines an optimization algorithm based on the multiverse theory (master stage) and the numerical method of successive approximation (slave stage). The master stage proposes power levels to be injected by each distributed generator in the DC network, and the slave stage evaluates the impact of each power configuration (proposed by the master stage) on the objective function and the set of constraints that compose the problem. In this study, the objective function is the reduction of electrical power losses associated with energy transmission. In addition, the constraints are the global power balance, nodal voltage limits, current limits, and a maximum level of penetration of distributed generators. In order to validate the robustness and repeatability of the solution, this study used four other optimization methods that have been reported in the specialized literature to solve the problem addressed here: ant lion optimization, particle swarm optimization, continuous genetic algorithm, and black hole optimization algorithm. All of them employed the method based on successive approximation to solve the load flow problem (slave stage). The 21- and 69-node test systems were used for this purpose, enabling the distributed generators to inject 20%, 40%, and 60% of the power provided by the slack node in a scenario without distributed generation. The results revealed that the multiverse optimizer offers the best solution quality and repeatability in networks of different sizes with several penetration levels of distributed power generation.

A Single-Channel, 1.25-GS/s, 6-bit, 6.08-mW Asynchronous Successive-Approximation ADC With Improved Feedback Delay in 40-nm CMOS

2012 ◽  
Vol 47 (10) ◽  
pp. 2444-2453 ◽  
Author(s):  
Tao Jiang ◽  
Wing Liu ◽  
Freeman Y. Zhong ◽  
Charlie Zhong ◽  
Kangmin Hu ◽  
...  
Keyword(s):  
Successive Approximation ◽  
Single Channel ◽  
Feedback Delay ◽  
Successive Approximation Adc
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