A Computational Method to the One-dimensional Convection-diffusion Equation Subject to a Boundary Integral Condition with an Error Estimation

In this research a numerical technique is developed for the one-dimensional convection-diffusion equation with classical and integral boundary conditions. A new iterative process has been presented for the numerical solution of this kind of partial differential equation. An efficient error estimation for this method is also introduced. A simple and efficient algorithm for numerical solution of the method introduced.