Unit iv interpolation numerical differentiation and

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UNIT IV INTERPOLATION, NUMERICAL DIFFERENTIATION AND NUMERICAL INTEGRATION Lagrange’s and Newton’s divided difference interpolatio ns Newton’s forward and backward difference interpolation Approximation of derivates using interpolation polynomials Numerical single and double integrations using Trapezoidal and Simpson’s 1/3 rules. UNIT V NUMERICAL SOLUTION OF ORDINARY DIFFERENTIAL EQUATIONS Single step methods : Taylor’s series method - Euler’s method - Modified Euler’s method - Fourth order Runge-Kutta method for solving first order equations - Multi step methods : Milne’s and Adams - Bash forth predictor corrector methods for solving first order equations.
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TEXT BOOKS : 1. Grewal. B.S. and Grewal. J.S., “Numerical Methods in Engineering and Science ", 10 th Edition, Khanna Publishers, New Delhi, 2015. 2. Johnson, R.A., Miller, I and Freund J., “Miller and Freund’s Probability and Statistics for Engineers", Pearson Education, Asia, 8th Edition, 2015. REFERENCES : 1. Burden, R.L and Faires, J.D, "Numerical Analysis”, 9 th Edition, Cengage Learning, 2016. 2. Devore. J.L., "Probability and Statistics for Engineering and the Sciences”, Cengage Learning, New Delhi, 8th Edition, 2014. 3. Gerald. C.F. and Wheatley. P.O. "Applied Numerical Analysis” Pearson Education, Asia, New Delhi, 2006. 4. Spiegel. M.R., Schiller. J. and Srinivasan. R.A., "Schaum’s Outlines on Probability and Statistics ", Tata McGraw Hill Edition, 2004. 5. Walpole. R.E., Myers. R.H., Myers. S.L. and Ye. K., “Probability and Statistics for Engineers and Scientists", 8th Edition, Pearson Education, Asia, 2007.
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