The Solve of Laplace Equation with Nonlocal and Derivative Boundary Conditions by Using Non Polynomial Spline

- In this paper we consider a non polynomial spline function where it to depend on parameter τ, such that it interpolated u(x) in points of grid. By using this function we solve the Laplace equation with nonlocal and derivative boundary conditions. The method is applied in this paper is a implicit method. We know superiority of implicit methods is stability of them, because most of them are unconditionally stable.