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Showing 1 to 6 of 6 for “"parabolic partial differential equation"”.
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Approximations and Object-Oriented Implementation for a Parabolic Partial Differential Equation
This work is a numerical study of the 2-D heat equation with Dirichlet boundary conditions over a polygonal domain. The motivation for this study is a chemical vapor deposition (CVD) reactor in which a substrate is heated while being exposed to a gas containing precursor molecules. The interaction …
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The Solution of a Parabolic Partial Differential Equation via Domain Decomposition: The Synthesis of Asymptotic and Numerical Analysis
… a time dependent reaction convection diffusion equation with small parameter on the diffusion term will be presented. The method is based on a domain decomposition that is dictated by singular perturbation analysis. The analysis is used to determine regions where certain reduced equations may be …
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Credit Risk Pricing based on Epstein-Zin Preference
… as the solution of a system of a two-dimensional parabolic partial differential equation (PDE) which is solved numerically. The price under the imperfect information is derived based on the solution of a stochastic partial differential equation (SPDE). Finally, We analyze the implications of …
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The required ansatz to construct Lie point transformations and the symmetries of a first-order stochastic differential equation
… Lie point transformations of evolution-type equations from the contact transformation approach. We indicate that the Lie point transformations of the Fokker-Planck equation (FPE), which is a second-order linear parabolic partial differential equation (PDE), are projectable by using the …
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Robust Observation and Control of Complex Networks
… to networks of agents governed by a class parabolic partial differential equation, for which, for the first time, a boundary-based robust local interaction protocol has been presented.
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The Fokker-Planck and Related Equations in Theoretical Population Dynamics
… growth of a single species is modeled by a differential equation with initial condition(s) so that the number of organisms in the population is derived using some mechanism of growth, i.e. a growth rate function. However, such deterministic models are often highly unrealistic in population …