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Programming in MATLAB ® by Ram N. Patel

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6

Numerical Methods, Calculus, and Statistics

After studying this chapter, you should be able to:

  • perform numerical integration, differentiation, interpolation, curve fitting, and numerical optimization in MATLAB®
  • solve linear and nonlinear algebraic equations in MATLAB
  • solve ordinary differential equations using algorithms and MATLAB’s “ode” function

6.1 Introduction

MATLAB provides a number of powerful functions to solve complex linear and nonlinear algebraic and differential equations. In most cases, the method used is numerical computation. Numerical techniques are generally based on piecewise linearization of functions and/or substitution of numerical values that fit the required criteria. In most cases, the knowledge of initial and/or ...

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