机构地区: 广西师范学院数学科学学院
出 处: 《广西师范学院学报(自然科学版)》 2014年第4期1-6,20,共7页
摘 要: 采用快速Fourier配置法求解Symm积分方程.首先,根据配置法求解Symm积分方程离散化得到稠密矩阵.其次,提出相应的矩阵截断策略,将稠密矩阵压缩成稀疏矩阵.最后,求解方程组得到近似解珘un.在保持收敛阶的前提下,大大减少了计算量. We develop in this paper a fast Fourier‐Collocation methods for solving Symrn integral equation .Firstly ,we use the collocation method to discrete the Symm integral equation .Secondly ,we propose matrix truncation strategy and compress dense matrices into sparse matrices .Finally ,we ob‐tain approximate solutions ?un by solving the discrete equation .This method leads to reducing the a‐mount of computation under preservation of the convergence order .