Convergence analysis and error estimate of second-order implicit-explicit scheme for Gray-Scott model

2021 ◽  
pp. 1-13
Author(s):  
Fangying Song ◽  
Jun Zhang ◽  
Jinrong Wang
Keyword(s):  
Error Estimate ◽  
Convergence Analysis ◽  
Explicit Scheme ◽  
Second Order

scholarly journals Recovering of the Membrane Profile of an Electrostatic Circular MEMS by a Three-Stage Lobatto Procedure: A Convergence Analysis in the Absence of Ghost Solutions

Mathematics ◽  
2020 ◽  
Vol 8 (4) ◽  
pp. 487 ◽  
Author(s):  
Mario Versaci ◽  
Giovanni Angiulli ◽  
Alessandra Jannelli
Keyword(s):  
Convergence Analysis ◽  
Electrostatic Field ◽  
Mean Curvature ◽  
Mechanical Systems ◽  
Numerical Approach ◽  
Second Order ◽  
Circular Membrane ◽  
Differential Model ◽  
The Mean

In this paper, a stable numerical approach for recovering the membrane profile of a 2D Micro-Electric-Mechanical-Systems (MEMS) is presented. Starting from a well-known 2D nonlinear second-order differential model for electrostatic circular membrane MEMS, where the amplitude of the electrostatic field is considered proportional to the mean curvature of the membrane, a collocation procedure, based on the three-stage Lobatto formula, is derived. The convergence is studied, thus obtaining the parameters operative ranges determining the areas of applicability of the device under analysis.

scholarly journals Convergence Analysis on a Second Order Algorithm for Orthogonal Projection onto Curves

Symmetry ◽  
2017 ◽  
Vol 9 (10) ◽  
pp. 210 ◽  
Author(s):  
Xiaowu Li ◽  
Lin Wang ◽  
Zhinan Wu ◽  
Linke Hou ◽  
Juan Liang ◽  
...  
Keyword(s):  
Convergence Analysis ◽  
Orthogonal Projection ◽  
Second Order ◽  
Order Algorithm

scholarly journals Second-order implicit–explicit scheme for the Gray–Scott model

2008 ◽  
Vol 213 (2) ◽  
pp. 559-581 ◽  
Author(s):  
Kai Zhang ◽  
Jeff C.-F. Wong ◽  
Ran Zhang
Keyword(s):  
Explicit Scheme ◽  
Second Order
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