MAÜ GCRIS Standart veritabanının içerik oluşturulması ve kurulumu Research Ecosystems (https://www.researchecosystems.com) tarafından devam etmektedir. Bu süreçte gördüğünüz verilerde eksikler olabilir.

Browsing by Author "Celik, Ercan"

Filter results by typing the first few letters
Now showing 1 - 2 of 2
  • Thumbnail Image
    Article
    Fractional Approach for Diffusion Equations Arising From Oil Pollution Using the Fractional Natural Decomposition Method
    (Wiley, 2025) Dusunceli, Faruk; Celik, Ercan
    The main goal is to use the fractional natural decomposition approach to solve diffusion equations related to oil pollution. We examine a model that depicts the evolution of chemical processes in a network that burns helium. Elegant consolidations of nature transform with Adomian decomposition method are made possible by the Caputo operator with fractional order taken into consideration and hired algorithm. We looked at the expected model in a different sequence using fraction to show the expected algorithm's proficiency. Moreover, plots for various arbitrary orders have taken use of the physical characteristics of the obtained results. The obtained findings verify that the algorithm under consideration is highly efficient, methodical, straightforward to use, and accurate in examining the characteristics of the fractional differential system connected to related fields.
  • Thumbnail Image
    Article
    Numerical solution for high-order linear complex differential equations with variable coefficients
    (WILEY, 2018) Dusunceli, Faruk; Celik, Ercan
    In this paper, we have obtained the numerical solutions of complex differential equations with variable coefficients by using the Legendre Polynomials and we have performed it on two test problems. Then, we applied with different technical of error analysis to the test problems. When we compared exact solutions and numerical solutions of tables and graphs, we realized that our method is reliable, practical and functional.