Computer methods for engineering
This text is aimed at helping engineering students develop expertise in numerical methods and use them to solve problems of practical interest. It provides students with a treatment of numerical methods for important operations such as integration, differentiation and root solving.
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BASIC CONSIDERATIONS IN COMPUTER METHODS
THE TAYLOR SERIES AND NUMERICAL
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accuracy algebraic equations arise best fit boundary conditions central difference chosen coefficient matrix computer program considered constant convergence criterion corrector curve fitting data points denoted dependent determine eigenvalues employed engineering applications engineering problems Euler's method evaluated exact fit Example extrapolation Figure finite difference approximations finite number first-order flow rate formulas FORTRAN fourth-order function f(x Gauss-Jordan elimination Gauss-Seidel method Gaussian elimination given by Eq given data given problem grid points higher-order independent variable initial condition INPUT INTERPOLATED VALUE interval iterative methods linear equations Newton-Raphson method nonlinear equations number of terms numerical integration numerical methods numerical results obtained numerical scheme numerical solution ordinary differential equations parameters partial differential equations predictor-corrector methods procedure round-off error Runge-Kutta method second derivative second-order segments shown in Fig Similarly solving SUBROUTINE system of equations system of linear Taylor series temperature trapezoidal rule truncation error unknowns vector velocity XMAX yield zero
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