Titlebook: Boundary Value Problems for Engineers; with MATLAB Solution Ali Ümit Keskin Textbook 2019 Springer Nature Switzerland AG 2019 Boundary Valu

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Models for the use of Expert OpinionsThe linear superposition principle is one of the most elegant and effective methods to represent solutions of BVPs in terms of an auxiliary function known as Green’s function which was first introduced by George Green (George Green (1793–1841), English mathematician.) in 1828.

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Data-Driven Filtering and ControlThe solution of BVPs by a one dimensional finite difference (FD) method can be accomplished by the following steps.

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Communications and Control EngineeringWeighted residual methods (WRM) (also called Petrov-Galerkin methods) provide simple and highly accurate solutions of BVPs. Collocation, Galerkin, and Rayleigh–Ritz methods are examples of the WRMs.

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Computing Zeros of Nonlinear Univariate Functions,Solving nonlinear equations is one of the most important problems that has many applications in all fields of engineering, and it is one of the oldest and most basic problems in mathematics.

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Boundary Value Problems (BVPs) for ODEs,In many engineering problems there are more than one endpoints or boundary values, so the corresponding mathematical models involve ordinary differential equations that must be solved subject to given boundary conditions.

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,Collocation, Galerkin, and Rayleigh–Ritz Methods,Weighted residual methods (WRM) (also called Petrov-Galerkin methods) provide simple and highly accurate solutions of BVPs. Collocation, Galerkin, and Rayleigh–Ritz methods are examples of the WRMs.