CAJ | 학술논문

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。
채용쾌속Fourier배치법구해Symm적분방정。수선，근거배치법구해Symm적분방정리산화득도주밀구진。기차，제출상응적구진절단책략，장주밀구진압축성희소구진。최후，구해방정조득도근사해주un 。재보지수렴계적전제하，대대감소료계산량。
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 .