This study aims to investigate and implement four numerical algorithms,namely the accumulative algorithm,the partitioning algorithm,the Laplace inversion algorithm,and the hypergeometric representa-tion algorithm.These algorithms are designed to explore fast and effective high precision arithmetic calcula-tion and display of the Wright function.The Wright function is visualized and presented through MATLAB software programming and simulation,enabling the analysis and comparison of performance among four algo-rithms.The experimental results demonstrate that the hypergeometric representation algorithm exhibits supe-rior computational accuracy,while the partition algorithm demonstrates extensive applicability.Additionally,both the Laplace inversion algorithm and the accumulation algorithm showcase remarkable computational speed.