Improving adaptive generalized polynomial chaos method to solve nonlinear random differential equations by the random variable transformation technique

DOI10.1016/j.cnsns.2017.02.011OpenAlexW2588762221MaRDI QIDQ2007357

José Vicente Romero, Juan-Carlos Cortés, M. D. Roselló, Rafael-Jacinto Villanueva

Publication date: 14 October 2020

Published in: Communications in Nonlinear Science and Numerical Simulation (Search for Journal in Brave)

Full work available at URL: http://hdl.handle.net/10251/105538

zbMATH Keywords

random variable transformation techniquenonlinear random differential equationsadaptive generalized polynomial chaosnonlinear uncertainty

Mathematics Subject Classification ID

Numerical analysis (65-XX) Special functions (33-XX)

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Cites Work

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• Using FEM-RVT technique for solving a randomly excited ordinary differential equation with a random operator
• A developed solution of the stochastic Milne problem using probabilistic transformations
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• On the logistic equation subject to uncertainties in the environmental carrying capacity and initial population density
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• Probabilistic solution of random SI-type epidemiological models using the random variable transformation technique
• Probabilistic solution of random homogeneous linear second-order difference equations
• On the convergence of generalized polynomial chaos expansions
• The Wiener--Askey Polynomial Chaos for Stochastic Differential Equations
• Modeling the simple epidemic with deterministic differential equations and random initial conditions

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