Abstract
In this paper the approach of using the Cayley transformation to evaluate the solutionof a linear parabolic equation is coupled with standard finite-element methods. The potential advantage of this approach is that the solution at a fixed time is written in terms of a linear combination of solutions obtained by solving a time-independent problem where the coefficients in the linear combination are functions of time. In comparison with standard discretization methods this approach requires fewer “pseudotime steps”, i.e., fewer terms in the linear combination of solutions, to obtain the solution at a fixed 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.