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Zwei Verfahren zur Lösung der Abelschen Integralgleichung und zur Berechnung der radialen Volumenstrahldichte

✍ Scribed by H.-B. Valentini

Publisher
John Wiley and Sons
Year
1978
Tongue
English
Weight
243 KB
Volume
18
Category
Article
ISSN
0005-8025

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✦ Synopsis

Abstract

Two methods for the calculation of the emission coefficient distribution from the side‐on radiance distribution in an optically thin plasma were elaborated. Firstly, a method for recursive solution of the Abel integral equation was derived. The formulas given by Frie were simplified. In a second method a polynomial was fitted to the data points and then the integral equation was solved analytically. Fluctuations of the solution increase with rising number of pivot points or with rising degree of polynomial and not only with rising scattering of the data points. The first method provides good results for a relatively small number of pivot points. In many cases the second method provides useful results with an even polynomial of the sixth or eighth degree and the numerical effort is slight.

📜 SIMILAR VOLUMES

Vergleich der Verfahren zur Berechnung v
Vergleich der Verfahren zur Berechnung von Gegenstromtrennprozessen nach Wang-Henke und Thiele-Geddes
✍ Dipl.-Math. Wilhelm Herchen; Prof. Dr.-Ing. Hugo Hartmann 📂 Article 📅 1976 🏛 John Wiley and Sons 🌐 German ⚖ 114 KB

Gegenstromtrennprozesse werden durch ein nichtlineares Gleichungssystem beschrieben, das aus vier verschiedenen Typen von Gleichungen besteht. Dieses Gleichungssystem kann auf zwei verschiedene Arten gelost werden. Bei den Verfahren des Typs A, den sog. Boden-zu-Boden-Rechnungen, werden nacheinander