The semi-analytical method for time-dependent wave problems with uncertainties
Corresponding Author
Maria Consuelo Casabán Bartual
Instituto Universitario de Matemática Multidisciplinar, Universitat Politècnica de València, Camino de Vera s/n, Valencia, 46022 Spain
Correspondence
Maria Consuelo Casabán Bartual, Instituto Universitario de Matemática Multidisciplinar, Universitat Politècnica de València, Camino de Vera s/n, 46022, Valencia, Spain,
Email: [email protected]
Communicated by: J. R. Torregrosa
Search for more papers by this authorJuan Carlos Cortés López
Instituto Universitario de Matemática Multidisciplinar, Universitat Politècnica de València, Camino de Vera s/n, Valencia, 46022 Spain
Search for more papers by this authorLucas Jódar Sánchez
Instituto Universitario de Matemática Multidisciplinar, Universitat Politècnica de València, Camino de Vera s/n, Valencia, 46022 Spain
Search for more papers by this authorCorresponding Author
Maria Consuelo Casabán Bartual
Instituto Universitario de Matemática Multidisciplinar, Universitat Politècnica de València, Camino de Vera s/n, Valencia, 46022 Spain
Correspondence
Maria Consuelo Casabán Bartual, Instituto Universitario de Matemática Multidisciplinar, Universitat Politècnica de València, Camino de Vera s/n, 46022, Valencia, Spain,
Email: [email protected]
Communicated by: J. R. Torregrosa
Search for more papers by this authorJuan Carlos Cortés López
Instituto Universitario de Matemática Multidisciplinar, Universitat Politècnica de València, Camino de Vera s/n, Valencia, 46022 Spain
Search for more papers by this authorLucas Jódar Sánchez
Instituto Universitario de Matemática Multidisciplinar, Universitat Politècnica de València, Camino de Vera s/n, Valencia, 46022 Spain
Search for more papers by this authorAbstract
This paper provides a constructive procedure for the computation of approximate solutions of random time-dependent hyperbolic mean square partial differential problems. Based on the theoretical representation of the solution as an infinite random improper integral, obtained via the random Fourier transform method, a double approximation process is implemented. Firstly, a random Gauss-Hermite quadrature is applied, and then, the evaluations at the nodes of the integrand are approximated by using a random Störmer numerical method. Numerical results are illustrated with examples.
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Citing Literature
Special Issue:Mathematical Modelling in Engineering & Human Behaviour 2018
30 September 2020
Pages 7977-7992
