Italian Journal of Pure and Applied Mathematics (Ital. J. Pure Appl. Math.) (20150101), No.~35, 527-536. ISSN: 1126-8042 (print).eISSN: 2239-0227.
Subject
35 Partial differential equations -- 35K Parabolic equations and systems 35K05 Heat equation 35K20 Initial-boundary value problems for second-order parabolic equations
65 Numerical analysis -- 65M Partial differential equations, initial value and time-dependent initial-boundary value problems 65M12 Stability and convergence of numerical methods
A class of high-order explicit difference schemes for solving three-dimensional parabolic equations is presented. The methods have order three in time and four in space. Stability is ensured using Fourier analysis for $r<1/4$. Some numerical results are given.