A. Özdeş

TL;DR: In this article, variable space grid and boundary immobilization techniques based on the explicit finite difference are applied to the one-phase classical Stefan problem, and all the results obtained by the two methods are in good agreement with the exact solution, and exhibit the expected convergence as the mesh size is refined.

TL;DR: A finite element solution of the KdV equation is presented and the numerical solutions are found to be in good agreement with the exact solutions.

TL;DR: Burgers’ equation which is one-dimensional non-linear partial differential equation was converted to p non- linear ordinary differential equations by using the method of discretization in time and it was shown that mathematical structure of the equation for the obtained numerical solutions did not decay.

TL;DR: In this paper, the application of the method of lines (MOL) to the KdV equation was presented, which led to a system of ordinary differential equations, and the solution of the system was obtained by applying Euler's method.