Any resources for understanding the Shishkin Mesh and the HODIE scheme?

Dhaval Mohandas @Dhaval-Mohandas

31 May 2016 1 4K Report

I want to implement the HODIE scheme on a shiskin mesh for singularly pertubed reaction diffusion equations.

Khaled G. Mohamed

I wish these resources to be helpful,

With Best Luck

-High order methods on Shishkin meshes for singular perturbation problems of convection–diffusion type

https://www.researchgate.net/profile/Carmelo_Clavero/publication/242923601_High_order_methods_on_Shishkin_meshes_for_singular_perturbation_problems_of_convectiondiffusion_type/links/00b495386f1394c666000000.pdf

- HODIE finite difference schemes on generalized Shishkin meshes http://www.sciencedirect.com/science/article/pii/S0377042703006538/pdfft?md5=837a58f672be9738fdfc5963f43b6c2b&pid=1-s2.0-S0377042703006538-main.pdf

https://www.researchgate.net/publication/242980469_HODIE_finite_difference_schemes_on_generalized_Shishkin_meshes

- HODIE finite difference schemes and Richardson extrapolation on generalized Shishkin meshes

http://www2.cs.kuleuven.be/conference/iccam2002/abstracts/clavero.pdf

-Shishkin meshes in the numerical solution of singularly perturbed differential equations‏

http://www.math.ualberta.ca/ijnam/Volume-7-2010/No-3-10/2010-03-01.pdf

Article High order methods on Shishkin meshes for singular perturbat...

Article HODIE finite difference schemes on generalized Shishkin meshes

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