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Numerical Heat Transfer. This course is the equivalent of a Computational Fluid Dynamics (CFD) course. After covering the fundamentals of numerical solution, three mainstream methods, namely Finite Difference, Finite Volume, and Finite Element are discussed. Prerequisite(s): CS 108 and ME 421 or consent of instructor.

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The author provides a foundation from which students can approach more advanced topics and further explore the theory and/or use of finite difference methods according to their interests and needs. Audience: This book is designed as an introductory graduate-level textbook on finite difference methods and their analysis.

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Given a nonlinear, possibly coupled partial differential equation (PDE), a region specification and boundary conditions, the numerical PDE-solving capabilities find solutions to stationary and time-dependent nonlinear partial differential equations.

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Jul 09, 2018 · A fourth-order compact finite difference scheme of the two-dimensional convection–diffusion equation is proposed to solve groundwater pollution problems. A suitable scheme is constructed to simulate the law of movement of pollutants in the medium, which is spatially fourth-order accurate and temporally second-order accurate. The matrix form and solving methods for the linear system of ...

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94 Finite Differences: Partial Differential Equations DRAFT analysis locally linearizes the equations (if they are not linear) and then separates the temporal and spatial dependence (Section 4.3) to look at the growth of the linear modes un j = A(k)neijk∆x. (8.9) This assumed form has an oscillatory dependence on space, which can be used to syn-

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"Finite Difference Methods in Heat Transfer, Second Edition focuses on finite difference methods and their application to the solution of heat transfer problems. Such methods are based on the discretization of governing equations, initial and boundary conditions, which then replace a continuous partial differential problem by a system of ...