Spectral-fPINNs: spectral method based fractional physics-informed neural networks for solving fractional partial differential equations

Nonlinear Dynamics, Год журнала: 2025, Номер unknown

Опубликована: Март 22, 2025

Язык: Английский

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Shallow-water problems

Elsevier eBooks, Год журнала: 2025, Номер unknown, С. 325 - 349

Опубликована: Янв. 1, 2025

Язык: Английский

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Hermite solution for a new fractional inverse differential problem

Mathematical Methods in the Applied Sciences, Год журнала: 2024, Номер unknown

Опубликована: Сен. 28, 2024

Mathematics, mathematical modeling of real systems, and computer methodologies aimed at the qualitative quantitative study physical systems interact in a nontrivial way. This work aims to examine new class inverse problems for fractional partial differential equation with order , which leads spectral problem involving Hermite's equation. We introduce proven theorems on existence uniqueness solutions current problem. obtain form series expansion using Hermite orthogonal basis. Finally, we discuss convergence analysis obtained solutions.

Язык: Английский

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Deep mixed residual method for solving PDE-constrained optimization problems

Computers & Mathematics with Applications, Год журнала: 2024, Номер 176, С. 510 - 524

Опубликована: Ноя. 15, 2024

Язык: Английский

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