## Numerical Analysis |

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### Contents

ERRORS IN NUMERICAL METHODS 125 | 1 |

DIFFERENT OPERATORS DIFFERENCE EQUATIONS 2680 | 26 |

INTERPOLATION AND N UM ERICA L D IFFERENTIATION 81209 | 97 |

NUMIRICAL INTEGRATION 210274 | 212 |

NUMERICAL SOLUTION OF EQUATIONS IN ONE VARIABLE | 275 |

NUMERICAL SOLUTION OF LIN EAR SIM ULTANEOUS EQ UATIONS | 337 |

NUMERICAL SOLUTION OF ORDINARY DIFFERENTIAL | 375 |

### Common terms and phrases

absolute error Af(x approximate numbers approximate value arguments x0 Backward Interpolation Formula Bisection method Coefficient Multiplier Positive convergence correct to four correct to three correct upto Cramer's rule diagonal difference table difference equation differential equation equation f(x Euler-Maclaurin formula Euler's formula Euler's method Example f(xj f(xm f(xn following table Forward interpolation formula function f(x given equation Hence integral interpolation polynomial interval of differencing iteration formula iteration method length h Let f(x mathematical induction Multiplier Positive term Newton-Raphson method Newton's Backward Interpolation Newton's Forward interpolation Note order divided difference periodic functions polynomial of degree positive root Positive term Negative real root relative error root of f(x rule of sign Runge-Kutta method Scheme of calculation Simpson's one-third rule solution step length system of equations taking h term Negative term Trapezoidal rule values of f(x Weddle's rule x-axis xn _