An expansion procedure using third kind Chebyshev polynomials as base functions is suggested for solving second type Volterra integral equations with logarithmic kernels. The algorithm's convergence is studied and some illustrative examples are presented to show the method's efficiency and reliability, comparisons with other methods in the literature are made.

翻译：提出了一种以第三类切比雪夫多项式为基函数的展开方法，用于求解含对数核的第二类沃尔泰拉积分方程。研究了该算法的收敛性，并通过若干示例展示了该方法的有效性与可靠性，同时与文献中的其他方法进行了比较。