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Published in 2018 at "Applied Numerical Mathematics"
DOI: 10.1016/j.apnum.2018.04.006
Abstract: Abstract In this paper, we propose a high-order scheme for the numerical solution of multi-term time fractional diffusion-wave (FDW) equation in one and two-dimensional on non-uniform grids. Based on the sixth-order non-uniform combined compact difference…
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Keywords:
combined compact;
order;
uniform combined;
scheme ... See more keywords
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Published in 2021 at "Differential Equations"
DOI: 10.1134/s0012266121070090
Abstract: We consider compact difference schemes of approximation order $$4+2 $$ on a three-point spatial stencil for the Klein–Gordon equations with constant and variable coefficients. New compact schemes are proposed for one type of second-order quasilinear…
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Keywords:
difference;
order;
second order;
three point ... See more keywords
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Published in 2022 at "Axioms"
DOI: 10.3390/axioms11100535
Abstract: This paper discusses the Crank–Nicolson compact difference method for the time-fractional damped plate vibration problems. For the time-fractional damped plate vibration equations, we introduce the second-order space derivative and the first-order time derivative to convert…
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Keywords:
time;
plate vibration;
compact difference;
difference ... See more keywords