A B-spline method is presented for solving the Troesch problem. The numerical approximations to the solution are calculated and then their behavior is studied and commenced. The chaotic dynamics exhibited by the solutions ...

In this paper, we apply the local polynomial regression for the solution of the one-dimensional fractional diffusion equation. The Caputo fractional derivative is used for the formulation. A numerical example is given to ...

In this paper, we have discussed a third-degree non-polynomial spline solution for the numerical solution to nonlinear boundary value problems (BVPs) and compare other metods. Two numerical examples are given to illustrate ...

This paper is concerned with the numerical solution of the convection diffusion problems. A family of B-spline methods has been considered for the numerical solution of the problems. The results showed that the present ...