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Numerical Partial Differential Equations: Finite Difference Methods (Texts in Applied Mathematics) by J.W. Thomas

Numerical Partial Differential Equations: Finite Difference Methods (Texts in Applied Mathematics) J.W. Thomas ebook
Page: 454
Format: pdf
Publisher: Springer
ISBN: 0387979999, 9780387979991

The book presents fundamental numerical methods which are most frequently applied in the electrical (electronic) engineering. It is shown how a partial differential equation of the second order can be approximated by the corresponding difference equation defined on interior and boundary nodes of the introduced grid . The system of equations with certain boundary conditions was solved numerically by applying the finite-difference method with order of approximation equal to 0.0001. The mathematical model created in this study will improve our understanding of the complex mechanism of blunt injury to the vascular wall and, therefore, conditions such as aortic rupture and traumatic acute myocardial infarction. Numerical Methods for Engineers and Scientists. Multi-phase equations have been used. Numerical Solution of Partial Differential Equations: Finite Difference Methods. Oxford Applied Mathematics & Computing Science Series. \begin{array}{lll} B^2 - 4AC < 0 & \text{Elliptic} & \text{Complex characteristic curves} \\ B^2 - 4AC = 0 & \text{Parabolic} & \text{Real and repeated characteristic curves}\\ B^2 - 4AC > 0 & \text{Hyperbolic} & \text{Real and distinct characteristic curves} Hoffman, J. A scope of this book is rather wide and includes solving the sets of linear and nonlinear equations, lines are investigated by means of the finite difference method. Of the branching part of the vessel.