A NOVEL ANALYTICAL METHOD FOR TIME FRACTIONAL CONVECTION-DIFFUSION EQUATION THROUGH CLIQUE POLYNOMIALS OF THE COCKTAIL PARTY GRAPH

BAYRAK M. A., DEMİR A., Büyük A.

Journal of Applied Analysis and Computation, cilt.15, sa.1, ss.564-573, 2025 (SCI-Expanded) identifier identifier

  • Yayın Türü: Makale / Tam Makale
  • Cilt numarası: 15 Sayı: 1
  • Basım Tarihi: 2025
  • Doi Numarası: 10.11948/20240168
  • Dergi Adı: Journal of Applied Analysis and Computation
  • Derginin Tarandığı İndeksler: Science Citation Index Expanded (SCI-EXPANDED), Scopus, zbMATH
  • Sayfa Sayıları: ss.564-573
  • Anahtar Kelimeler: Clique polynomials, collocation points, Fractional convection-diffusion equation, residual power series method
  • Kocaeli Üniversitesi Adresli: Evet

Özet

This paper is devoted to providing a new approach to solve time fractional convection-diffusion equation (TFCDE) by utilizing Clique polynomials of the Cocktail party graph and collocation points. The main advantage of this method is converting the TFCDE into a system of ordinary fractional differential and algebraic equations. At this stage, Residual power series method (RPSM) is used to determine the unknown functions of the obtained system. Convergence analysis is given to substantiate the importance of the suggested method. Two numerical examples are presented to illustrate the implementation and effectiveness of the proposed method.