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- W1551173825 abstract "Many problems of science and technique lead to partial differential equations. The mathematical theories of such equations, especially of the nonlinear ones, are very intricate, such that their numerical study becomes inevitable. To classify the partial differential equations, this chapter uses various criteria, that is, considering the order of the derivatives (first order, second order, or nth order), the linearity character (linear, quasilinear, or nonlinear equations), the influence of the integration domain at a point (equations of elliptic, parabolic, or hyperbolic type), and the types of limit conditions (Dirichlet, Neumann, or mixed problems). It presents the numerical methods for the integration of partial differential equations and of systems of partial differential equations. The numerical methods are point matching method, Ritz's method, Galerkin's method, and method of the least squares. Finally, the chapter gives numerical examples and some applications." @default.
- W1551173825 created "2016-06-24" @default.
- W1551173825 date "2013-05-06" @default.
- W1551173825 modified "2023-09-23" @default.
- W1551173825 title "Integration of Partial Differential Equations and of Systems of Partial Differential Equations" @default.
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- W1551173825 doi "https://doi.org/10.1002/9781118614563.ch9" @default.
- W1551173825 hasPublicationYear "2013" @default.
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