Scopus İndeksli Yayınlar Koleksiyonu / Scopus Indexed Publications Collection

Permanent URI for this collectionhttps://hdl.handle.net/11147/7148

Browse

Filters

20112

Settings

Access type: Open accessAuthor: search.filters.author.Gücüyenen, Nurcan

Search Results

Now showing 1 - 2 of 2
  • Article
    Citation - WoS: 4
    Citation - Scopus: 7
    On the Numerical Solution of Korteweg-De Vries Equation by the Iterative Splitting Method
    (Elsevier Ltd., 2011) Gücüyenen, Nurcan; Tanoğlu, Gamze
    In this paper, we apply the method of iterative operator splitting on the Korteweg-de Vries (KdV) equation. The method is based on first, splitting the complex problem into simpler sub-problems. Then each sub-equation is combined with iterative schemes and solved with suitable integrators. Von Neumann analysis is performed to achieve stability criteria for the proposed method applied to the KdV equation. The numerical results obtained by iterative splitting method for various initial conditions are compared with the exact solutions. It is seen that they are in a good agreement with each other. © 2011 Elsevier Inc. All rights reserved.
  • Article
    Citation - WoS: 5
    Citation - Scopus: 7
    Iterative Operator Splitting Method for Capillary Formation Model in Tumor Angiogenesis Problem: Analysis and Application
    (John Wiley and Sons Inc., 2011) Gücüyenen, Nurcan; Tanoğlu, Gamze
    Iterative operator splitting method is used to solve numerically the mathematical model for capillary formation in tumor angiogenesis problem. The method is based on first splitting the complex problem into simpler sub-problems. Then each sub-equation is combined with iterative schemes. The algorithms are obtained by applying the proposed method to the given model problem. The explicit local error bounds are derived to show consistency. We also explained the stability by constructing the stability functions. The obtained numerical results show that iterative splitting method provides high accuracy and efficiency with respect to other classical methods in the literature.