Numerical solution of integral equations by using combination of Spline-collocation method and Lagrange interpolation

摘要

In this paper, we find numerical solution of x(t) + lambda integral(b)(a) k(t, s)x(s) ds = y(t), a <= t <= b or x(t) + lambda integral(t)(a) k(t, s)x(s) ds = y(t), a <= t <= b, a <= s <= b by B-Splines. We determined coefficients {alpha(i)}(i=0)(N+1) such that Sigma(N+1)(i=0) alpha B-i(i)(t) to be an approximation for x(t).