THERMAL SCIENCE
International Scientific Journal
A SPLIT ITERATIVE ASYMPTOTIC METHOD FOR THE NUMERICAL SOLUTION OF A CLASS OF FRACTIONAL HEAT TRANSFER EQUATIONS
ABSTRACT
In this paper, a new split iterative compact difference scheme for a class of system is constructed. Then, the conservation properties of the scheme are discussed, and the convergence of the split iterative difference scheme is analyzed by using the discrete energy method on the basis of the prior estimation. Finally, numerical experiments verify these properties of the new scheme. In addition, the numerical results also show the influence of fractional derivative on the variation of the transport equation.
KEYWORDS
PAPER SUBMITTED: 2022-10-10
PAPER REVISED: 2023-05-23
PAPER ACCEPTED: 2023-08-09
PUBLISHED ONLINE: 2024-05-18
THERMAL SCIENCE YEAR
2024, VOLUME
28, ISSUE
Issue 3, PAGES [2351 - 2359]
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