WebMar 9, 2024 · In this paper, a high order compact finite difference is established for the time multi-term fractional sub-diffusion equation. The derived numerical differential formula can achieve second order accuracy in time and four order accuracy in space. WebHigh-order compact finite difference schemes are used for solving third-order differential equations created during the study of obstacle boundary value problems. They have been …
High order compact finite difference methods for non …
WebSep 17, 2024 · In this article, some high-order compact finite difference schemes are presented and analyzed to numerically solve one- and two-dimensional time fractional Schrödinger equations. The time Caputo … WebJun 1, 2024 · In this paper, we are devoting to constructing some high-order compact and alternative direction implicit (HOC-ADI) schemes for the periodic initial-boundary value problem of the 2D GL equation... can i use steam on xbox
Higher-order compact finite difference scheme - Wikipedia
WebJul 1, 2010 · Two types of schemes can be distinguished. The first one uses only the curvilinear abscissa along a mesh line to derive a sixth-order compact interpolation formulae while the second, more general, uses coordinates in a spatial three … High-order compact finite difference method was first introduced by Kreiss and Oliger and implemented by Hirsh . Compact schemes can provide numerical solutions with spectral-like resolution and very low numerical dissipation . See more we first consider the two dimensional diffusion equation with variable coefficient where a=\mathrm{diag}(a^x,a^y), 0< a_{*} \le a^x(x,y),\ a^y(x,y) \le a^{*}, \partial \varOmega is the … See more Let U^{x}, U^{y}, and P be the solution of scheme (52)-(54) and assume P_{1,1}=0. We then have that \square See more Let C_{a^x}=\max \{\Vert \frac{\partial a^x}{\partial x} \Vert _{\infty }, \Vert \frac{\partial a^x}{\partial y}\Vert _{\infty }\}, C_{a^y}=\max … See more Under the condition of periodic boundaries , the difference operators \delta _{x}, \mathcal {L}_{x}, \mathcal {L}^{-1}_{x}, \delta _{y}, \mathcal {L}_{y}, and \mathcal {L}^{-1}_{y} are … See more http://cfdhost.seas.ucla.edu/papers/2007/Shukla-JCP-2007.pdf can i use steam workshop mods on a gog game