On new aspects of Chebyshev polynomials for space-time fractional diffusion process

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Demir A., Bayrak M. A., Bulut A., Ozbilge E., Cetinkaya S.

APPLIED MATHEMATICS AND NONLINEAR SCIENCES, cilt.8, sa.2, ss.1051-1062, 2023 (ESCI) identifier identifier

  • Yayın Türü: Makale / Tam Makale
  • Cilt numarası: 8 Sayı: 2
  • Basım Tarihi: 2023
  • Doi Numarası: 10.2478/amns.2021.2.00327
  • Dergi Adı: APPLIED MATHEMATICS AND NONLINEAR SCIENCES
  • Derginin Tarandığı İndeksler: Emerging Sources Citation Index (ESCI), Scopus, Applied Science & Technology Source, Compendex, zbMATH, Directory of Open Access Journals, DIALNET
  • Sayfa Sayıları: ss.1051-1062
  • Anahtar Kelimeler: Chebyshev collocation method, space-time fractional diffusion equation, Finite differences, Caputo derivatives, EQUATION
  • Kocaeli Üniversitesi Adresli: Evet

Özet

Chebyshev collocation scheme and Finite difference method plays central roles for solving fractional differential equations (FDE). Therefore purpose of this paper is to solve fractional mathematical problem of diffusion by Chebyshev collocation method which turns the original problems into the system of fractional ordinary differential and algebraic equations by imposing orthogonality property. This system is solved by implementing Finite difference method. The numerical illustrations confirm that the combination of these two methods allow us to establish one of the best truncated solution in the series form.