Abstract
In the current manuscript, we consider a generalized fractional reaction–diffusion equation. The considered model is based on the time fractional derivative. The developed scheme is based on two procedures. At first, we obtain a semi-discrete scheme for the temporal direction. The time fractional derivative is discretized by using a difference scheme with second-order accuracy. Thus, the final time-discrete formula has second-order accuracy in the temporal direction. Then, we obtain a fully discrete scheme by applying the mixed finite element method (MFEM). For the constructed numerical technique, we prove the unconditional stability and also obtain an error bound for the full-discrete scheme by using the energy method. We employ some test problems to show the accuracy of the proposed technique.
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.