Numerical approximation of the Cauchy non-homogeneous time-fractional diffusion-wave equation with Caputo derivative using shifted Chebyshev polynomials

Numerical approximation of the Cauchy non-homogeneous time-fractional diffusion-wave equation with Caputo derivative using shifted Chebyshev polynomials

In this paper, we introduce a numerical technique for solving the Cauchy non-homogeneous time-fractional diffusion-wave equation with the Caputo derivative operator. The key idea behind our approach is to employ the roots of shifted Chebyshev polynomials to collocate the problem in the time dimensio...

Full description

Bibliographic Details
Main Authors: Mir Sajjad Hashemi, Mohammad Mirzazadeh, Mustafa Bayram, Sayed M. El Din
Format: Article
Language:English
Published: Elsevier 2023-10-01
Series:Alexandria Engineering Journal
Subjects:
Shifted Chebyshev polynomial
Time-fractional diffusion-wave equation
Caputo fractional derivative
Approximate solution
Convergence analysis
Online Access:http://www.sciencedirect.com/science/article/pii/S1110016823007925

Internet

http://www.sciencedirect.com/science/article/pii/S1110016823007925

Similar Items