Computer Methods for Engineering with MATLAB® Applications

Written by an internationally respected field expert from Rutgers, this second edition enables a basic understanding of mathematical methods involved in numerical computer analysis and highlights issues of particular importance to the field of engineering.

Substantially revised and updated, Computer Methods for Engineering with MATLAB® Applications, Second Edition presents equations to describe engineering processes and systems. It includes computer methods for solving these equations and discusses the nature and validity of the numerical results for a variety of engineering problems. This edition now uses MATLAB in its discussions of computer solution. New to the Second Edition Recent advances in computational software and hardware A large number of MATLAB commands and programs for solving exercises and to encourage students to develop their own computer programs for specific problems Additional exercises and examples in all chapters New and updated references The text follows a systematic approach for obtaining physically realistic, valid, and accurate results through numerical modeling. It employs examples from many engineering areas to explain the elements involved in the numerical solution and make the presentation relevant and interesting. It also incorporates a wealth of solved exercises to supplement the discussion and illustrate the ideas and methods presented. The book shows how a computational approach can provide physical insight and obtain inputs for the analysis and design of practical engineering systems.

IntroductionIntroductory RemarksNumerical SolutionsImportance of Analytical ResultsPhysical ConsiderationsApplication of Computer Methods to Engineering ProblemsOutline and Scope of the Book Basic Considerations in Computer MethodsIntroductionComputational ProcedureNumerical Errors and AccuracyIterative ConvergenceNumerical Parameters A Review of MATLAB ProgrammingIntroductionMATLAB EnvironmentOrdinary Differential EquationsInput/OutputScript m-FilesFunction m-FilesPlotting Taylor Series and Numerical DifferentiationIntroductionThe Taylor SeriesDirect Approximation of DerivativesTaylor-Series Approach and AccuracyPolynomial RepresentationPartial Derivatives Roots of EquationsIntroductionSearch Method for Real RootsBisection MethodRegula Falsi and Secant MethodsNewton–Raphson Method and Modified Newton’s MethodSuccessive Substitution MethodOther Methods Numerical Solutions of Simultaneous Algebraic EquationsIntroductionGaussian EliminationGauss–Jordan EliminationCompact MethodsNumerical Solution of Linear Systems by Matrix InversionIterative MethodsHomogeneous Linear EquationsSolution of Simultaneous Nonlinear Equations Numerical Curve Fitting and InterpolationIntroductionExact Fit and InterpolationLagrange InterpolationNewton’s Divided-Difference Interpolating PolynomialNumerical Interpolation with SplinesMethod of Least Squares for a Best FitFunction of Two or More Independent Variables Numerical IntegrationIntroductionRectangular and Trapezoidal Rules for IntegrationSimpson’s Rules for Numerical IntegrationHigher-Accuracy MethodsIntegration with Segments of Unequal WidthNumerical Integration of Improper Integrals Numerical Solution of Ordinary Differential EquationsIntroductionEuler’s MethodImprovements in Euler’s MethodRunge–Kutta MethodsMultistep MethodsPredictor–Corrector MethodsBoundary-Value Problems Numerical Solution of Partial Differential EquationsIntroductionParabolic PDEsElliptic PDEsHyperbolic PDEs Appendix A: Some Common Commands in MATLABAppendix B: Computer Programs in MATLABAppendix C: Computer Programs in FORTRAN References Index A Summary and Problems appear at the end of each chapter.

Yogesh Jaluria is a Board of Governors Professor in the Mechanical and Aerospace Engineering Department at Rutgers University. He has contributed to more than 450 technical articles and received numerous honors, including the Kern Award from AIChE, the Max Jakob Memorial Award from ASME and AIChE, and the Robert Henry Thurston Lecture Award, Freeman Scholar Award, Worcester Reed Warner Medal, and Heat Transfer Memorial Award, all from ASME.