Welcome to Wright’s documentation!¶
This small library contains implementation in C, Fortran and MATLAB for computing the Wright function of the second kind, often called Mainardi’s function, on the real line.
How to obtain¶
The latest version of this code can be obtained from GitHub
git clone git@github.com:Cirdans-Home/mwright.git
How to compile¶
The code can be compiled using the CMake toolchain in the usual way.
mkdir build
cd build
ccmake ..
make
To build the c routines you’ll need a working version of the
ARB library, this is a a C library for
arbitrary-precision floating-point ball arithmetic. It is used here to
implement the evaluation of the Wright function through its series
expansion. We use it to measure the error with respect to the algorithm
based on the inversion of the Laplace transform.
Warning
If you want to build this documentation you’ll need also a working version
of Sphinx, together with the extensions 'sphinx.ext.autodoc',
'sphinx_c_autodoc', 'sphinx.ext.mathjax',
'sphinxfortran.fortran_domain', 'sphinxfortran.fortran_autodoc',
and sphinxcontrib.matlab.
This step can be omitted from the ccmake settings.
How to cite¶
Please, if you use this code for a scientific publication cite the work:
Aceto and F. Durastante. “Efficient computation of the Wright function and its applications to fractional diffusion-wave equations”. 2022. arXiv: 2202.00397