scholarly journals Error analysis of the Tau Method: Dependence of the error on the degree and on the length of the interval of approximation

1993 ◽  
Vol 25 (7) ◽  
pp. 33-45 ◽  
Author(s):  
M.K. El-Daou ◽  
E.L. Ortiz
Keyword(s):  
Error Analysis ◽  
Tau Method

scholarly journals A New Tau Method for Solving Nonlinear Lane-Emden Type Equations via Bernoulli Operational Matrix of Differentiation

2013 ◽  
Vol 2013 ◽  
pp. 1-9 ◽  
Author(s):  
E. Tohidi ◽  
Kh. Erfani ◽  
M. Gachpazan ◽  
S. Shateyi
Keyword(s):  
Error Analysis ◽  
Operational Matrix ◽  
Numerical Approach ◽  
Bernoulli Polynomial ◽  
Tau Method ◽  
Algebraic Equations ◽  
Fundamental Structure ◽  
Polynomial Approximations ◽  
Mild Conditions ◽  
Operational Matrix Of Differentiation

A new and efficient numerical approach is developed for solving nonlinear Lane-Emden type equations via Bernoulli operational matrix of differentiation. The fundamental structure of the presented method is based on the Tau method together with the Bernoulli polynomial approximations in which a new operational matrix is introduced. After implementation of our scheme, the main problem would be transformed into a system of algebraic equations such that its solutions are the unknown Bernoulli coefficients. Also, under several mild conditions the error analysis of the proposed method is provided. Several examples are included to illustrate the efficiency and accuracy of the proposed technique and also the results are compared with the different methods. All calculations are done in Maple 13.

scholarly journals Numerical Solution of Fuzzy Fractional Pharmacokinetics Model Arising from Drug Assimilation into the Bloodstream

2013 ◽  
Vol 2013 ◽  
pp. 1-17 ◽  
Author(s):  
Ali Ahmadian ◽  
Norazak Senu ◽  
Farhad Larki ◽  
Soheil Salahshour ◽  
Mohamed Suleiman ◽  
...  
Keyword(s):  
Error Analysis ◽  
Fractional Derivative ◽  
Numerical Solution ◽  
Error Estimation ◽  
Upper Bound ◽  
Tau Method ◽  
Algebraic Equations ◽  
Special Cases ◽  
The Absolute ◽  
Fractional Pharmacokinetics

We propose a Jacobi tau method for solving a fuzzy fractional pharmacokinetics. This problem can model the concentration of the drug in the blood as time increases. The proposed approach is based on the Jacobi tau (JT) method. To illustrate the reliability of the method, some special cases of the equations are solved as test examples. The method reduces the solution of the problem to the solution of a system of algebraic equations. Error analysis included the fractional derivative error estimation, and the upper bound of the absolute errors is introduced for this method.

The O–C diagrams of minor planets − a new approach to modelling the rotation

1999 ◽  
Vol 173 ◽  
pp. 185-188
Author(s):  
Gy. Szabó ◽  
K. Sárneczky ◽  
L.L. Kiss
Keyword(s):  
Error Analysis ◽  
Time Dependence ◽  
Theoretical Work ◽  
Minor Planet ◽  
Minor Planets ◽  
New Approach ◽  
Preliminary Results ◽  
Ccd Observations

AbstractA widely used tool in studying quasi-monoperiodic processes is the O–C diagram. This paper deals with the application of this diagram in minor planet studies. The main difference between our approach and the classical O–C diagram is that we transform the epoch (=time) dependence into the geocentric longitude domain. We outline a rotation modelling using this modified O–C and illustrate the abilities with detailed error analysis. The primary assumption, that the monotonity and the shape of this diagram is (almost) independent of the geometry of the asteroids is discussed and tested. The monotonity enables an unambiguous distinction between the prograde and retrograde rotation, thus the four-fold (or in some cases the two-fold) ambiguities can be avoided. This turned out to be the main advantage of the O–C examination. As an extension to the theoretical work, we present some preliminary results on 1727 Mette based on new CCD observations.

Error Analysis in Neuropsychological Assessment of Verbal Memory and Learning

1995 ◽  
Vol 11 (1) ◽  
pp. 21-28 ◽  
Author(s):  
Dietmar Heubrock
Keyword(s):  
Error Analysis ◽  
Verbal Memory ◽  
Verbal Learning ◽  
Learning Disorders ◽  
Memory And Learning ◽  
Auditory Verbal Learning Test ◽  
Additional Information ◽  
Auditory Verbal Learning ◽  
Accurate Picture ◽  
Learning Test

Performance on a German version of the Rey Auditory-Verbal Learning Test (AVLT) was investigated for 64 juvenile patients who were subdivided in 6 clinical groups. In addition to standard evaluation of AVLT protocols which is usually confined to items recalled correctly, an error analysis was performed. Differentiating between total errors (TE), repetition errors (RE), and misnamings (ME), substantial differences between clinical groups could be demonstrated. It is argued that error analysis of verbal memory and learning enriches the understanding of neuropsychological syndromes, and provides additional information for diagnostic and clinical use. Thus, it is possible to gain a more accurate picture so that patients can be appropriately retrained, and research into the functional causes of memory and learning disorders can be intensified.

Reduced model error analysis “application to synchronous machines"

1994 ◽  
Vol 4 (10) ◽  
pp. 1999-2012 ◽  
Author(s):  
Nabil Derbel ◽  
Mohamed B.A. Kamoun ◽  
Michel Poloujadoff
Keyword(s):  
Error Analysis ◽  
Model Error ◽  
Synchronous Machines ◽  
Reduced Model ◽  
Analysis Application
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