Rothe's method for parabolic initial boundary value problems, also known as the horizontal line method, consists of a time discretization by finite differences and leads to a sequence of boundary ...
In this paper, the time-fractional heat equation with the Caputo derivative of order α where 0 < α ≤ 1 is considered. The parametric Crank-Nicholson type method for direct problems is used. But for ...
Mathematical approaches for numerically solving partial differential equations. The focus will be (a) iterative solution methods for linear and non-linear equations, (b) spatial discretization and ...
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