We consider various finite difference schemes for the first and the second initial‐boundary value problems for linear Kuramoto‐Tsuzuki, heat and Schrödinger equations in d‐dimensional case. Using spectral methods, we find the conditions of stability on initial data in the L2norm.
Radžiūnas, M., & Ivanauskas, F. (1998). The stability conditions of finite difference schemes for schrödinger, Kuramoto‐Tszuki and heat equations. Mathematical Modelling and Analysis, 3(1), 177-194. https://doi.org/10.3846/13926292.1998.9637101
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