Random heat equation: Solutions by the stochastic adaptive interpolation method

DOI10.1016/0898-1221(88)90011-9zbMath0661.60082OpenAlexW1993587895MaRDI QIDQ1113204

Luciano M. de Socio, Nicola Bellomo, Roberto Monaco

Publication date: 1988

Published in: Computers \& Mathematics with Applications (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/0898-1221(88)90011-9

zbMATH Keywords

nonlinear heat equationAdomian's decomposition methodstochastic partial differential equationrandom heat equationstochastic continuum mechanics

Mathematics Subject Classification ID

Stochastic analysis (60H99)

Related Items

A stochastic model in continuum mechanics: Time evolution of the probability density in the random initial boundary-value problem, Random heat equation: Solutions by the stochastic adaptive interpolation method, Bellman-Adomian solutions of nonlinear inverse problems in continuum physics, Stochastic partial differential equations in continuum physics - on the foundations of the stochastic interpolation method for Ito's type equations, On the solution of a class of inverse evolution problems by a Bellman- Adomian method, Modeling and solution of stochastic inverse problems in mathematical physics, Analytic-Numerical Solution of Random Parabolic Models: A Mean Square Fourier Transform Approach, The time evolution of random fields in stochastic continuum mechanics, A solution technique for random and nonlinear inverse heat conduction problems, A nonlinear inverse heat transfer problem

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