Accuracy of the two-iteration spectral method for phase change problems

Date

2006-12-01

Author

Dursunkaya, Zafer

Metadata

Show full item record

This work is licensed under a Creative Commons Attribution-NonCommercial-NoDerivatives 4.0 International License.

Item Usage Stats

150
views

0
downloads

The accuracy of the solution of phase change problems using a spectral method is studied. Two iterations in the expansion are used to obtain the interface location of a solidification problem. in semi-infinite domain. Asymptotic expansion of the current approach is compared to the existing analytical solution of the problem, and the validity of the expansion is studied. The results indicate the accuracy of a numerical application of the current approach to finite and semi-infinite geometries. (c) 2005 Elsevier Inc. All rights reserved.

Subject Keywords

Modelling and Simulation, Applied Mathematics

URI

https://hdl.handle.net/11511/34275

Journal

APPLIED MATHEMATICAL MODELLING

DOI

https://doi.org/10.1016/j.apm.2005.07.006

Collections

Department of Mechanical Engineering, Article

Suggestions

OpenMETU
Core

Error estimates for space-time discontinuous Galerkin formulation based on proper orthogonal decomposition Akman, Tuğba (Informa UK Limited, 2017-01-01) In this study, proper orthogonal decomposition (POD) method is applied to diffusion-convection-reaction equation, which is discretized using spacetime discontinuous Galerkin (dG) method. We provide estimates for POD truncation error in dG-energy norm, dG-elliptic projection, and spacetime projection. Using these new estimates, we analyze the error between the dG and the POD solution, and the error between the exact and the POD solution. Numerical results, which are consistent with theoretical convergence ra...
Domain-Structured Chaos in a Hopfield Neural Network Akhmet, Marat (World Scientific Pub Co Pte Lt, 2019-12-30) In this paper, we provide a new method for constructing chaotic Hopfield neural networks. Our approach is based on structuring the domain to form a special set through the discrete evolution of the network state variables. In the chaotic regime, the formed set is invariant under the system governing the dynamics of the neural network. The approach can be viewed as an extension of the unimodality technique for one-dimensional map, thereby generating chaos from higher-dimensional systems. We show that the dis...
Exact solutions of the Schrodinger equation via Laplace transform approach: pseudoharmonic potential and Mie-type potentials Arda, Altug; Sever, Ramazan (Springer Science and Business Media LLC, 2012-04-01) Exact bound state solutions and corresponding normalized eigenfunctions of the radial Schrodinger equation are studied for the pseudoharmonic and Mie-type potentials by using the Laplace transform approach. The analytical results are obtained and seen that they are the same with the ones obtained before. The energy eigenvalues of the inverse square plus square potential and three-dimensional harmonic oscillator are given as special cases. It is shown the variation of the first six normalized wave-functions ...
Nonlinear oscillation of second-order dynamic equations on time scales Anderson, Douglas R.; Zafer, Ağacık (Elsevier BV, 2009-10-01) Interval oscillation criteria are established for a second-order nonlinear dynamic equation on time scales by utilizing a generalized Riccati technique and the Young inequality. The theory can be applied to second-order dynamic equations regardless of the choice of delta or nabla derivatives.
Forced oscillation of second-order nonlinear differential equations with positive and negative coefficients ÖZBEKLER, ABDULLAH; Wong, J. S. W.; Zafer, Ağacık (Elsevier BV, 2011-07-01) In this paper we give new oscillation criteria for forced super- and sub-linear differential equations by means of nonprincipal solutions.

Citation Formats

Z. Dursunkaya, “Accuracy of the two-iteration spectral method for phase change problems,” APPLIED MATHEMATICAL MODELLING, pp. 1515–1524, 2006, Accessed: 00, 2020. [Online]. Available: https://hdl.handle.net/11511/34275.