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UNIT 1
Approximation & Error analysis : Approximations and round of errors,
Truncation errors and Taylor Series.
Roots of Non-linear Equations: Determination of roots of
polynomials and transcendental equations by Newton-Raphson, Secant and
Bairstow’s method.
UNIT 2 Linear Algebraic Equation: Solutions of linear simultaneous
linear algebraic equations by Gauss Elimination and Gauss-Siedel iteration
methods.
UNIT 3 Numerical Differentiation & Integration: Curve fitting –
linear and nonlinear regression analysis. Backward, Forward and Central
difference relations and their uses in numerical differentiation and
integration, Application of difference relations in the solution of
partial differential equations.
UNIT 4 Ordinary Differential Equation: Numerical solution of
ordinary differential equations by Euler, Modified Euler, Runga-Kutta and
Predictor-Corrector method.
UNIT 5 Partial Differential Equation : Elliptic equation &
parabolic equation & their solution techniques. Finite element method –
General approach application in one dimension. Computer programming with
C, C++ on these topics.
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