Introduction to numerical and analytical methods with MATLAB for engineers and scientists / by William Bober.

Format:

Book

Author/Creator:

Bober, William, 1930- author.

Language:

English

Subjects (All):

MATLAB.

Engineering mathematics.

Numerical analysis.

Physical Description:

1 online resource (544 p.)

Edition:

First edition.

Place of Publication:

Boca Raton, FL : CRC Press, an imprint of Taylor and Francis, 2013.

Language Note:

English

Summary:

Introduction to Numerical and Analytical Methods with MATLAB® for Engineers and Scientists provides the basic concepts of programming in MATLAB for engineering applications. The text covers useful numerical methods, including interpolation, Simpson’s 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 MATLAB’s 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.

Contents:

CONTENTS; Preface; Acknowledgments; Author; 1 Computer Programming with MATLAB® for Engineers; 2 MATLAB® Fundamentals; 3 Taylor Series, Self-Written Functions and MATLAB's interp1 Function; 4 Matrices; 5 Roots of Algebraic and Transcendental Equations; 6 Numerical Integration; 7 Numerical Integration of Ordinary Differential Equations; 8 Boundary Value Problems of Ordinary Differential Equations; 9 Curve Fitting; 10 Simulink®; 11 Optimization; 12 Iteration Method; 13 Partial Differential Equations; 14 Laplace Transforms; Review Answers; Appendix A: Special Characters in MATLAB® Plots

Appendix B: Derivation of the Heat Transfer Equation in SolidsAppendix C: Derivation of the Beam Deflection Equation; Appendix D: Proof of Orthogonal Relationship of the cos(λ n x) Functions; Appendix E: Getting Started with MATLAB® Version R2012a

Notes:

Description based upon print version of record.

Description based on print version record.

ISBN:

1-04-005848-5

0-429-10161-9

1-4665-7609-X

9780429101618

OCLC:

908989332