Numerical solution of space-time fractional PDEs with variable coefficients using shifted Ja-cobi collocation method

Bonyadi S., Mahmoudi Y., Lakestanı M., Rad M. J.

Computational Methods for Differential Equations, cilt.11, sa.1, ss.81-94, 2023 (ESCI) identifier

  • Yayın Türü: Makale / Tam Makale
  • Cilt numarası: 11 Sayı: 1
  • Basım Tarihi: 2023
  • Doi Numarası: 10.22034/cmde.2022.49901.2077
  • Dergi Adı: Computational Methods for Differential Equations
  • Derginin Tarandığı İndeksler: Emerging Sources Citation Index (ESCI), Scopus, zbMATH, Directory of Open Access Journals
  • Sayfa Sayıları: ss.81-94
  • Anahtar Kelimeler: Collocation method, Jacobi polynomials, Operational matrices, Space-time PDEs
  • Van Yüzüncü Yıl Üniversitesi Adresli: Evet

Özet

The paper reports a spectral method for generating an approximate solution for the space-time fractional PDEs with variable coefficients based on the spectral shifted Jacobi collocation method in conjunction with the shifted Jacobi operational matrix of fractional derivatives. The spectral collocation method investigates both temporal and spatial discretizations. By applying the shifted Jacobi collocation method, the problem reduces to a system of algebraic equations, which greatly simplifies the problem. Numerical results are given to establish the validity and accuracy of the presented procedure for space-time fractional PDE.