A novel method to approximate fractional differential equations based on the theory of functional connections

DOI10.1007/S11075-023-01580-3OpenAlexW4382700084MaRDI QIDQ6186383

Sivalingam S M, V. Govindaraj, Pushpendra Kumar

Publication date: 9 January 2024

Published in: Numerical Algorithms (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/s11075-023-01580-3

zbMATH Keywords

minimizationapproximate solutionleast squarestheory of functional connections

Mathematics Subject Classification ID

Numerical methods for initial value problems involving ordinary differential equations (65L05)

Cites Work

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• Numerical solutions of fractional Riccati type differential equations by means of the Bernstein polynomials
• Least-squares solution of linear differential equations
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• Reproducing kernel method for fractional Riccati differential equations
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• Analysis of Timoshenko-Ehrenfest beam problems using the theory of functional connections
• Theory of functional connections applied to quadratic and nonlinear programming under equality constraints
• Physics-informed neural networks for rarefied-gas dynamics: Poiseuille flow in the BGK approximation
• Using an enhanced homotopy perturbation method in fractional differential equations via deforming the linear part

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