Numerical Methods in Engineering PracticeA comprehensive and detailed treatment of classical and contemporary numerical methods for undergraduate students of engineering. The text emphasizes how to apply the methods to solve practical engineering problems covering over 300 projects drawn from civil, mechanical and electrical engineering. |
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Contents
MATRICES AND DETERMINANTS | 6 |
MATHEMATICAL MODELING OF TYPICAL ENGINEERING | 53 |
SIMULTANEOUS LINEAR ALGEBRAIC EQUATIONS | 84 |
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a₁ a₁x a₂ a²T a²w assumed augmented matrix b₁ b₂ base points boundary conditions C₁ calculated characteristic equation coefficient matrix column computed Consequently Consider the following corresponding Cramer's rule data points derivative approximations determined dx² eigenproblem eigenvalues eigenvector engineering equal error evaluated example expressed f(x₁ f(xo finite difference finite element method formula functional values Furthermore given by equation gives graphically Hence increment initial conditions integration interpolating polynomial inverse involving iterations Jacobi method k₁ k₂ L₁ linear algebraic equations matrix form nodes nonlinear Note numerical methods Obviously ordinary differential equations partial derivatives partial differential equations procedure R₁ reducing root Runge-Kutta method second derivative set of equations set of linear Simplifying Simpson's rule solution stencil Substituting equation Substituting into equation T₁ Taylor series techniques tion trapezoidal rule unknowns variables vector x₁ y₁ yields zero ду дх