An efficient method for solving nonlinear time-fractional wave-like equations with variable coefficients

2019 ◽  
Vol 12 (4) ◽  
pp. 131-147
Author(s):  
Ali Khalouta ◽  
Abdelouahab Kadem
2003 ◽  
Vol 3 (1) ◽  
pp. 45-58 ◽  
Author(s):  
Dejan Bojović

Abstract In this paper we consider the first initial boundary-value problem for the heat equation with variable coefficients in a domain (0; 1)x(0; 1)x(0; T]. We assume that the solution of the problem and the coefficients of the equation belong to the corresponding anisotropic Sobolev spaces. Convergence rate estimate which is consistent with the smoothness of the data is obtained.


Author(s):  
Guilherme Barufaldi ◽  
Marcus Victor ◽  
Luiz Carlos Sandoval Góes ◽  
ROBERTO GIL ANNES DA SILVA

2019 ◽  
Author(s):  
Joseph John Pyne Simons ◽  
Ilya Farber

Not all transit users have the same preferences when making route decisions. Understanding the factors driving this heterogeneity enables better tailoring of policies, interventions, and messaging. However, existing methods for assessing these factors require extensive data collection. Here we present an alternative approach - an easily-administered single item measure of overall preference for speed versus comfort. Scores on the self-report item predict decisions in a choice task and account for a proportion of the differences in model parameters between people (n=298). This single item can easily be included on existing travel surveys, and provides an efficient method to both anticipate the choices of users and gain more general insight into their preferences.


2018 ◽  
Vol 19 (3) ◽  
pp. 423-431
Author(s):  
G. I. Rastorguev ◽  
◽  
A. N. Grishanov ◽  
А. D. Matveev ◽  
◽  
...  

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