Krishna's - Numerical Methods

 

English | 2021 | ASIN: B099NP6G2F | 238 pages | PDF | 2.51 MB

SYLLABUS- NUMERICAL METHODS,
Unit-1
Roots of Equations: Bisections Method, False Position Method, Newton's Raphson Method, Rate of convergence of Newton's method.
Unit-2
Interpolation and Extrapolation: Finite Differences, The operator E, Newton's Forward and Backward Differences, Newton's divided differences formulae, Lagrange's Interpolation formula for unequal Intervals, Gauss's Interpolation formula, Starling formula, Bessel's formula, Laplace- Everett formula.
Unit-3
Numerical Differentiation Numerical Integration: Introduction, direct methods, maxima and minima of a tabulated function, General Quadratic formula, Trapezoidal rule, Simpson's One third rule, Simpson's three- eight rule.
Unit-4
Solution of Linear Equation: Gauss's Elimination method and Gauss's Siedel iterative method.
Unit-5
Solution of Differential Equations: Euler's method, Picard's method, Fourth-order Runge-Kutta method.