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A direct variational methods applied to Burgers' equation
(Elsevier Science Bv, 1996) Ozis, T; Ozdes, A
In this study, a compact approximate method in limiting form for calculating the solution of Burgers' equation with appropriate boundary conditions is presented. The results obtained by present method are found to be in good agreement with those due to earlier authors and offers appreciable advantages for Burgers' like nonlinear problems.
The numerical solution of one-phase classical Stefan problem
(Elsevier Science Bv, 1997) Kutluay, S; Bahadir, AR; Ozdes, A
In this paper, variable space grid and boundary Immobilisation Techniques based on the explicit finite difference are applied to the one-phase classical Stefan problem. It is shown that 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.