Search citation statements

Order By: Relevance

Paper Sections

Select...
2
1
1
1

Citation Types

1
6
0

Year Published

2016
2016
2020
2020

Publication Types

Select...
4

Relationship

2
2

Authors

Journals

citations
Cited by 10 publications
(7 citation statements)
references
References 37 publications
1
6
0
Order By: Relevance
“…Similar results hold for the piecewise interpolation error y−ψ N (y) in the norms of the Sobolev spaces (see Theorem 1 of [40]). In the next theorem, we shall give an estimate in the maximum norm.…”
Section: )supporting
confidence: 64%
See 1 more Smart Citation
“…Similar results hold for the piecewise interpolation error y−ψ N (y) in the norms of the Sobolev spaces (see Theorem 1 of [40]). In the next theorem, we shall give an estimate in the maximum norm.…”
Section: )supporting
confidence: 64%
“…On the other hand, in global pseudospectral methods it is not convenient to resolve the corresponding discrete system with very large number of collocation points. To remove this deficiency, adaptive version of pseudospectral method, which is based on the domain decomposition procedure, is considered [38][39][40]. To the best of our knowledge, adaptive pseudospectral methods are not well studied for solving fractional differential equations.…”
Section: Introductionmentioning
confidence: 99%
“…The results obtained via Lagrange polynomials [4], Triangular function [11] and adaptive Legendre-Gauss-Radau collocation method [17] are to that shown in Table 1. We mention in [17], N is the number of subintervals of the adaptive collocation method. Here, the solution of this example is obtained by choosing N = 7.…”
Section: Illustrative Examplesmentioning
confidence: 92%
“…We now review some error bounds for the above approximations. According to Reference 25 formula (5.4.33), whenever u ∈ H s ( I ), the Sobolev space of integer order s1, one has (consult 27 ), uNuL2(I)2CN2sl=minfalse{s,N+1false}sh2lu(l)L2(I)2, where u ( l ) is the distributional derivative of function u of order l . In addition, C denotes a positive constant that depends on s , but which is independent of the function u and integer N .…”
Section: Direct Lgr Interpolationmentioning
confidence: 99%