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Published in 2019 at "Engineering with Computers"
DOI: 10.1007/s00366-019-00896-w
Abstract: In this study, the Ritz–Galerkin method based on Legendre multiwavelet functions is introduced to solve multi-term time-space convection–diffusion equations of fractional order with variable coefficients and initial-boundary conditions. This method reduces the problem to a…
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Keywords:
time space;
space convection;
term time;
multiwavelet functions ... See more keywords
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Published in 2018 at "Computational and Applied Mathematics"
DOI: 10.1007/s40314-017-0447-8
Abstract: In this paper, numerical theory based on the mixed finite-element method and finite difference analog of the Caputo fractional derivative for multi-term time-fractional diffusion equations and diffusion-wave equations is analyzed. The unconditional stability and convergence…
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Keywords:
finite element;
diffusion;
mixed finite;
element method ... See more keywords
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Published in 2019 at "Resources, Conservation and Recycling"
DOI: 10.1016/j.resconrec.2019.01.017
Abstract: Abstract Rainwater harvesting simulations usually take long-term rainfall data as input to size system components. However, long-term time series data are not available in many cities around the world. This article aims to investigate the…
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Keywords:
long term;
term time;
term;
time series ... See more keywords
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Published in 2018 at "Fractional Calculus and Applied Analysis"
DOI: 10.1515/fca-2018-0019
Abstract: Abstract In this paper, we consider the analytical solutions of multi-term time-space fractional partial differential equations with nonlocal damping terms for general mixed Robin boundary conditions on a finite domain. Firstly, method of reduction to…
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Keywords:
analytical solutions;
multi term;
differential equations;
term time ... See more keywords
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Published in 2022 at "Entropy"
DOI: 10.3390/e24111651
Abstract: Predicting high-dimensional short-term time-series is a difficult task due to the lack of sufficient information and the curse of dimensionality. To overcome these problems, this study proposes a novel spatiotemporal transformer neural network (STNN) for…
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Keywords:
information;
time;
time series;
term time ... See more keywords