CHHATTISGARH SWAMI VIVEKANAND TECHNICAL UNIVERSITY, BHILAI (CG)
Semester B.E. III Sem.
Sub: Numerical Analysis & Computer Programming (C & C++)
UNIT – I Approximation and Errors in Computation
Approximation and round of errors, truncation errors and Taylor Series, Determination of roots of
polynomials and transcendental equations by Graphical methods and Bisection, Regula-falsi, Secant and
Newton-Raphson methods, Solution of Linear simultaneous, linear algebraic equations by Gauss
Elimination Gauss-Jordan and Gauss-Siedel iteration method.
UNIT – II Empirical laws, Curve Fitting & Interpolation
Curve fitting linear and non-linear regression analysis (Method of group average and Least squares) Finite
differences, Backward, forward and central difference relation and their use in Numerical differentiation
and integration and their application in interpolation.
UNIT – III Numerical Solution of Ordinary Differential Equations
Numerical integration by Trapezoidal rule, Simpson’s (1/3
rd & 3/8th
) rule and its error estimation.
Application of difference relations in the solution of partial differential equations. Application of
difference relations in the solution of partial differential equations. Numerical solution of ordinary
differential equations by Taylor’s series, Euler, Modified Euler, Runge-Kutta and Predictor-Corrector
UNIT – IV Numerical Solutions of Partial Differential Equations
Introduction, Classification of second order equations, Finite difference approximations to partial
derivatives, Elliptic equations, solution of Laplace equation, solution of Poisson’s equation, Solution of
Poisson’s equation, Solution of elliptic equations by relaxation method, Parabolic equations, Solution of
one-dimensional heat equation, Solution of two-dimensional heat equation, Solution of two-dimensional
heat equation, Hyperbolic equations, solution of wave equation.
UNIT – V Computer Programming
O statement, Mathematical, Relational & Conditional Statements & Expressions. Switch Loops and
Control Statements. Introduction to one dimensional arrays and two dimensional arrays. Basics of I/O
Numerical Methods in Engineering & Science – Dr. B.S. Grewal – Khanna Publishers, 6th
Numerical Methods – P. Kandasamy, K. Thilagavathy & K. Gunavathy – S. Chand & Co., 2nd
Rev. Edn. – 2003
Let us C – Yashwant Kanitkar –
Introductory Methods of Numerical Analysis – S.S. Sastry, 3rd
Edn. – PHI – New Delhi, 2003
Numerical Mathematical Analysis – James B. Scarborough, 6th
Edn. – Oxford & IBH Publishing Co. – New Delhi,
Theory & Problems in Numerical Methods – T. Veerarajan, T. Ramchandran – TMH, New Delhi, 2004
Numerical Methods for Engineers – Steven C. Chapra, Raymond P. Canale,