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Numerical Simulation of the Viscous Wave Equation with Stochastic Force

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We numerically investigate the dynamics of the solitary waves in the presence of external stochastic forces for the viscous wave equation. Since the analytic solutions of the considered problems are not expected available, finite volume element (FVE) method will be used in physical space and Monte Carlo (MC) sampling technique will be used in random space. Numerical results demonstrate that solitary wave profile is not strongly affected by the weak Gaussian white noise in our study. However, the noise with strong strength would destroy the propagation of solitary wave and increase the amplitude in some trajectories.
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Keywords: FINITE VOLUME ELEMENT METHOD; NUMERICAL SIMULATION; STOCHASTIC VISCOUS WAVE EQUATION

Document Type: Research Article

Publication date: March 1, 2016

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  • JOURNAL OF COMPUTATIONAL INTELLIGENCE AND ELECTRONIC SYSTEMS publishes emerging research in the areas of the computational intelligence and electronic systems. JCIES publishes in all areas of computational intelligence design and applications: applications oriented developments, successful industrial implementations, design tools, technology reviews, computational intelligence education, and applied research, specific emphasis on power electronics, embedded systems, semiconductor devices, analogue circuits, digital electronics, microwave and millimeter-wave techniques, wireless and optical communications, sensors, instrumentation and medical electronics much more.
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