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B.Tech. CSE 5th Sem Subject: Computer Oriental Numerical Method
UNIT - 1 Graphical method, Bolzano method, Regula Falsi method, Newton Raphson method, Secant method, iteration method, Cramer's rule, Matrix Inversion method, Gauss Elimination method, Crout's method, Gauss Jordan
method, Gauss Siedal method, Relaxation method.
UNIT - 2 Qenvatives using Forward, Backward, Central & Divided difference Formula, Maxima
& Minima of a tabulated Function, Numerical Integration, Newton - Cotes Qudrature Formula, Trapezoidal rule, Simpson's one-third rule, Simpson's three-eight rule, Boole's rule & Weddle's rule, Elliptic equation, Solution of Laplace & Poisson's Equations Parabolic & Hyperbolic Equation, Picard's
method, Taylors Series, Euler's method, Runge Kutta's IV order method.
UNIT - 3 Gauss Elimination method, Gauss jordan method, Crout's triangularisation method, Partition method, Newton's Forward & Backward
Difference Formula, Stirling's, Bessel's & Everett's Central, Difference Formula, Langrange’s Formula, Newton's Divided Diff Formula.
UNIT - 4 Formulation of the problem, Graphical method, General LPP, Standard & General form, Simplex
method, Artificial variable technique, Primal (Dual) method, Dual(Primal) method, Big M method, Two Phase
method, Duality Concept, Dual Simplex method.
UNIT - 5 Bolzano method, Regular Falsi method, Newton-Raphson method, Matrix Inversion, solution of
Simultaneous Equation by Gauss Elimination Method & Crout's Method, Interpolation by Netwon
Forward Method & Lagrange's Method, Picard's Methods, Runge Kutta's IV Order Method, Integration
by Trapezoidal Rule, Simpson's 1/3
rd
rule, Simpson's 3/8
th
Rule, Least of Square Best Fit Curve
Methods.
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