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 ...

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 ...

Non-linear Fisher’s equations are solved by using a spline method based on B-spline in the space direction and finite difference schema in the time direction. Numerical results reveal that spline method based on Bspline is ...

The non-polynomial spline method is proposed to solve a singular boundary value problems. Some model problems are solved and the numerical results are compared with B-spline approximation and the exact solution. Results ...

Hyperbolic partial differential equations with an integral condition serve as models in many branches of physics and technology. Recently,much attention has been expended in studying these equations and there has been a ...