Modified gradient neural networks for solving the time-varying Sylvester equation with adaptive coefficients and elimination of matrix inversion
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DOI: 10.1016/j.neucom.2019.10.080
Abstract: Abstract In scientific and engineering fields, the solutions to many problems can be transformed into finding the solutions to Sylvester equation, for which various computational methods (e.g., recurrent neural network, RNN) have been presented and… read more here.
Keywords: varying sylvester; sylvester equation; time varying; time ... See more keywords
An effective computational approach based on Gegenbauer wavelets for solving the time-fractional Kdv-Burgers-Kuramoto equation
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DOI: 10.1186/s13662-019-2297-8
Abstract: In this paper, our purpose is to present a wavelet Galerkin method for solving the time-fractional KdV-Burgers-Kuramoto (KBK) equation, which describes nonlinear physical phenomena and involves instability, dissipation, and dispersion parameters. The presented computational method… read more here.
Keywords: time fractional; gegenbauer wavelets; method; solving time ... See more keywords
Error estimates of high-order numerical methods for solving time fractional partial differential equations
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DOI: 10.1515/fca-2018-0039
Abstract: Abstract Error estimates of some high-order numerical methods for solving time fractional partial differential equations are studied in this paper. We first provide the detailed error estimate of a high-order numerical method proposed recently by… read more here.
Keywords: fractional partial; order; time fractional; time ... See more keywords