Introduction to Numerical and Analytical Methods with MATLABAr for Engineers and Scientists provides the basic concepts of programming in MATLAB for engineering applications. ac Teaches engineering students how to write computer programs on the MATLAB platform ac Examines the selection and use of numerical and analytical methods through examples and case studies ac Demonstrates mathematical concepts that can be used to help solve engineering problems, including matrices, roots of equations, integration, ordinary differential equations, curve fitting, algebraic linear equations, and more The text covers useful numerical methods, including interpolation, Simpsonas rule on integration, the Gauss elimination method for solving systems of linear algebraic equations, the Runge-Kutta method for solving ordinary differential equations, and the search method in combination with the bisection method for obtaining the roots of transcendental and polynomial equations. It also highlights MATLABas built-in functions. These include interp1 function, the quad and dblquad functions, the inv function, the ode45 function, the fzero function, and many others. The second half of the text covers more advanced topics, including the iteration method for solving pipe flow problems, the Hardy-Cross method for solving flow rates in a pipe network, separation of variables for solving partial differential equations, and the use of Laplace transforms to solve both ordinary and partial differential equations. This book serves as a textbook for a first course in numerical methods using MATLAB to solve problems in mechanical, civil, aeronautical, and electrical engineering. It can also be used as a textbook or as a reference book in higher level courses.+ v i v C + a C R i a Example 10.2 For the series RC circuit of Figure 10.10, we will examine the capacitor voltage vC with ... system consisting of many blocks and we wish to reduce the number of blocks appearing in the overall block diagram.

Title | : | Introduction to Numerical and Analytical Methods with MATLAB® for Engineers and Scientists |

Author | : | William Bober |

Publisher | : | CRC Press - 2013-11-12 |

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