Abstract
This paper aims to examine the effectiveness of a rotated iterative method to solve the two-dimensional time fractional diffusion equations, which are used when describing transport processes with long memory where the rate of diffusion is inconsistent with the classical Brownian motion model. This type of equation is obtained by replacing the first order time derivative in the standard di ff usion equation with a fractional derivative of order α, where 0 < α < 1, in accordance with Riemann-Liouville or Caputo. The developed method is derived from the standard Crank-Nicolson (S(C-N)) scheme by rotating clockwise 45 o with respect to the standard mesh. The study demonstrates the enhanced efficiency and superiority of the rotated Crank-Nicolson (R(C-N)) method, which overall reduces the CPU consumption time.
Talk to us
Join us for a 30 min session where you can share your feedback and ask us any queries you have
Disclaimer: All third-party content on this website/platform is and will remain the property of their respective owners and is provided on "as is" basis without any warranties, express or implied. Use of third-party content does not indicate any affiliation, sponsorship with or endorsement by them. Any references to third-party content is to identify the corresponding services and shall be considered fair use under The CopyrightLaw.