中文摘要：

介绍了求解第一类Volterra积分方程的谱Legendre-Galerkin方法和谱Chebyshev-Galerkin方法.数值算例表明,谱Galerkin方法不仅收敛速度快,而且能达到超几何收敛.

英文摘要：

Introduces spectral Legendre-Galerkin method and spectral Chebyshev Galerkin method for solving the first kind Volterra integral equations.Numerical results demonstrate that spectral Galerkin method not only convergent fast,but also has supergeometric convergence.