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Easy build finite-difference operators

version 1.0.0 (239 KB) by Manuel A. Diaz
This snippet shows how to build any central/biased (explicit) finite-difference schemes and their associated 2D and 3D discrete operators.

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Updated 15 Apr 2021

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Using Fornberg's weights algorithm [Fornberg, Bengt. "Generation of finite difference formulas on arbitrarily spaced grids." Mathematics of computation 51.184 (1988): 699-706.], this example shows how to construct its associated 2D/3D operators for producing differentiations on 2D/3D discrete functions.

This example seeks to be a complement to my 'Easy Build compact schemes' contribution. As this strategy can be directly applied to compact schemes too. ; )

This contribution contains three examples:
* An example on the use of Fornberg's weights algorithm to create FD schemes such as: centered, biased schemes over regularly- or irregularly-spaced domains.
* An example to construct a 2D differential and partial differential operator for a given function.
* Lastly, an example to construct a 3D differential and partial differential operator for a given function.

Happy coding !

Cite As

Manuel A. Diaz (2021). Easy build finite-difference operators (https://www.mathworks.com/matlabcentral/fileexchange/90541-easy-build-finite-difference-operators), MATLAB Central File Exchange. Retrieved .

MATLAB Release Compatibility
Created with R2019b
Compatible with any release
Platform Compatibility
Windows macOS Linux
Acknowledgements

Inspired by: Easy build compact schemes , Finite difference weights

Inspired: compact schemes

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