Learning variable-order time fractional diffusion equations using Physics-Informed Neural Networks. [PDF]
PLoS OneRen L, Jin S.
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A novel shifted Vieta-Lucas spectral collocation approach for multidimensional generalized Benjamin-Bona-Mahony-Burgers equations. [PDF]
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Data-driven, ML-assisted approaches to problem well-posedness. [PDF]
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Dynamical behavior of analytic solutions of the generalized derivative nonlinear Schrödinger equation under stochastic perturbations in fiber communication systems. [PDF]
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Innovative Aboodh-based gractional analytical methods for nonlinear Burgers' partial differential equations. [PDF]
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Stochastic and Statistical Analysis of Cnoidal, Snoidal, Dnoidal, Hyperbolic, Trigonometric and Exponential Wave Solutions of a Coupled Volatility Option-Pricing System. [PDF]
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Rigorous construction and classification of solitary-waves and exact soliton configurations in the nonlinear coupled Maccari system. [PDF]
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Fast automated adjoints for spectral PDE solvers. [PDF]
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Diffusion-Shock PDEs for Deep Learning on Position-Orientation Space. [PDF]
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Analytical analysis of the nonlinear fractional order Pochhammer-Chree equation with power-law nonlinearity in elastic materials. [PDF]
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