Equidistributing Meshes with Constraints

1980 ◽  
Vol 1 (4) ◽  
pp. 499-511 ◽  
Author(s):  
J. Kautsky ◽  
N. K. Nichols
Keyword(s):  
Equidistributing Meshes

Convergence of de Boor's algorithm for the generation of equidistributing meshes

2010 ◽  
Vol 31 (2) ◽  
pp. 580-596 ◽  
Author(s):  
X. Xu ◽  
W. Huang ◽  
R. D. Russell ◽  
J. F. Williams
Keyword(s):  
Equidistributing Meshes

A predictor–corrector scheme for solving nonlinear fractional differential equations with uniform and nonuniform meshes

2019 ◽  
Vol 10 (05) ◽  
pp. 1950033
Author(s):  
Mohammad Javidi ◽  
Mahdi Saedshoar Heris ◽  
Bashir Ahmad
Keyword(s):  
Differential Equations ◽  
Fractional Differential Equations ◽  
Nonlinear Fractional Differential Equations ◽  
Area Distribution ◽  
Nonuniform Meshes ◽  
Equidistributing Meshes ◽  
Fractional Differential ◽  
Linear And Nonlinear ◽  
Predictor Corrector ◽  
Equal Height

In this paper, we develop two algorithms for solving linear and nonlinear fractional differential equations involving Caputo derivative. For designing new predictor–corrector (PC) schemes, we select the mesh points based on the two equal-height and equal-area distribution. Furthermore, the error bounds of PC schemes with uniform and equidistributing meshes are obtained. Finally, examples are constructed for illustrating the obtained PC schemes with uniform and equidistributing meshes. A comparative study is also presented.

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