Quadratic spline collocation method for weakly singular integral equations and corresponding eigenvalue problem 1

Abstract A quadratic spline collocation method for the numerical solution of weakly singular Fredholm integral equations of the second kind and corresponding eigenvalue problem is constructed. Using quasi‐uniform and special graded grids, the rate of convergence of proposed numerical schemes is studied theoretically and numerically. Key words: weakly singular integral equations, collocation method, quadratic splines