Dr A.P.J. Abdul Kalam Technical University, UP (AKTU), Civil Engineering Semester 6, COMPUTER BASED NUMERICAL TECHNIQUES Syllabus

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Unit - 1 Error and roots of Algebraic and Transcendental Equations

1.1 Introduction of Numbers and their accuracy Computer Arithmetic Mathematical preliminaries

1.2 Errors and their Computation General error formula Error in a series approximation

1.3 Solution of Algebraic and Transcendental Equation Bisection Method Iteration method Method of false position

1.4 NewtonRaphson method

1.5 Muller’s method Methods of finding real and complex roots

1.6 Rate of convergence of Iterative methods Polynomial Equations

Unit - 2 Interpolation

2.1 Introduction Finite Differences

2.2 Difference tables Polynomial Interpolation Newton’s forward and backward formula

2.3 Central Difference Formulae Gauss forward and backward formula

2.4 Stirling’s Bessel’s Everett’s formula

2.5 Interpolation with unequal intervals Lagrange’s Interpolation Newton Divided difference formula Hermite’s Interpolation

Unit - 3 Numerical Integration and Differentiation

3.1 Introduction Numerical differentiation of Newton’s forward and backward formula

3.2 Stirling’s Bessel’s Everett’s formula

3.4 Numerical Integration Newton cotes formula Trapezoidal rule Simpson’s 13 and 38 rules Boole’s rule Waddle’s rule.

Unit - 4 Solution of differential Equations

4.1 Introduction Picard’s Method Euler’s Method

4.2 Taylor’s Method RungeKutta Methods

4.3 Predictor Corrector Methods Automatic Error Monitoring and Stability of solution.

Unit - 5 Boundary Value problems

5.1 Introduction Finite difference method solving Eigen value problems Polynomial method and power methods

5.2 Numerical solution of Partial Differential equations elliptic Parabolic and hyperbolic PDEs

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Other Subjects of Semester-2
Foundation design
Environmental engineering
Transportation engineering
Design of concrete structure
Constitution of india, law and engineering
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