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In this paper, we design, analyze and implement efficient time parallelmethod for a class of fourth order time-dependent partial differentialequations (PDEs), namely biharmonic heat equation, linearized Cahn-Hilliard(CH) equation and the nonlinear CH equation. We use diagonalization techniqueon all-at-once system to develop efficient iterative time parallel methods forinvestigating the solution behaviour of said equations. We present theconvergence analysis of Parallel-in-Time (PinT) algorithms. We verify ourfindings by presenting numerical results.

Diagonalization Based Parallel-in-Time Method for a Class of Fourth Order Time Dependent PDEs