Determining a vehicle’s trajectory is a complex and hard to solve type problem in the literature and it is identified as a NP-Hard optimization problem which is studied in different engineering disciplines such as ...

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 ...

Chaos theory is considered as a new subject in understanding non linear system’s dynamic behaviours. Chaos theorem is used in several fields such as mathematics, physics, chemistry as well as in finance and economics ...

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 ...

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 ...

Second-order linear hyperbolic equations are solved by using B-spline method . The numerical solution of the equations are discussed and illustrated with an example. Numerical results reveal that B-spline method ...

Bu tezde kısmi türevli zaman-kesirli mertebeden lineer Scrödinger denklemi ile ifade edilen problem ele al nm ışt r. Problem, Caputo kesirli türev tanı mı nı n uygulanmas yla tamsay ılı mertebeden lineer Scrödinger denklemi ...

In this study, a time-dependent heat-like Lane-Emden equation is solved by using a non-polynomial spline method. An example is solved to assess the accuracy of the method. The numerical results are obtained for different ...

A non-polynomial cubic spline method is proposed in this paper to solve one-dimensional non-linear Burgers' equation [Burger, A Mathematical Model Illustrating the Theory of Turbulence (1948); Rashidinia and Mohammadi, ...