High-Order Compact ADI Methods for Parabolic Equations
In this paper we develop a sixth-order compact scheme coupled with Alternating Direction Implicit (ADI) methods and apply it to parabolic equations in both 2-D and 3-D. Unconditional stability is proved for linear diffusion problems with periodic boundary conditions. Numerical examples supporting our theoretical analysis are provided.
ADI method; Differential equations; Parabolic; High-order compact schemes; Mathematical models; Numerical analysis; Parabolic equations
Applied Mathematics | Engineering | Numerical Analysis and Computation | Ordinary Differential Equations and Applied Dynamics
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High-Order Compact ADI Methods for Parabolic Equations.
Computers and Mathematics with Applications, 52(8-9),