Research and Implementation of the Partitioning Algorithm for the Wright Function Based on MATLAB
Most special functions in physical mathematics can be calculated by dividing the complex plane into different regions and using various numerical techniques.The Wright function plays an important role in fractional calculus and its engineering applications.And as a new type of special function,the Wright function can also be calculated using the partitioning algorithm.By studying the asymptotic expansion of the Wright function under large parameters and the calculation method of coefficients in the formula,correcting the errors in the integral expression and the integral radius selection theorem,the partitioning algorithm of the Wright function in the complex field has been further improved and perfected,and finally MATLAB software is used for programming simulation to analyze the accuracy of the algorithm.The experimental results show that the partitioning algorithm has wide applicability and good approximation effect.
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