Lecture Notes
Dear Students the Lecture Notes has been uploaded for the following topics:Introduction and Application of Numerical Differentiation and Integration, Newton’s Forward Difference Formula, Newton’s Backward Difference Formula, Tutorial 7, Numerical single integration by Trapezoidal rule, Numerical single integration by Simpson’s 1/3 rd rule, Numerical single integration by Romberg’s Method, Tutorial 8, Gaussian Two point and Three point Formulae, Numerical double integration by Trapezoidal rule, Numerical double integration by Simpson’s 1/3 rd rule, Tutorial 9, Introduction and Application of Initial value problems for ordinary differential equations, Tutorial 10, Taylor’s series Method for solving simultaneous first order differential equations, Taylor’s series Method for solving higher order linear differential equations, Euler and Modified Euler’s Method, Tutorial 11, Fourth order Runge - Kutta Method for solving simultaneous first order differential equations, Fourth order Runge - Kutta Method for solving first order differential equations, Milne’s Predictor and Corrector Methods for solving first order differential equations, Tutorial 12, Adam’s - Bash Forth Predictor and Corrector Methods for solving first order differential equations, Introduction and Application of Boundary value problems for ordinary and partial differential equations, Finite difference methods for solving two-point linear boundary value problems, Two dimensional Laplace’s equations on rectangular domain, Tutorial 13, Two dimensional Poisson’s equations on rectangular domain, One dimensional heat flow equation by Bender - Schmidt’s Explicit Method, Tutorial 14, One dimensional heat flow equation by Crank - Nicholson’s Implicit Method, One dimensional wave equation by Explicit Method, Tutorial 15, Gauss - Jacobi Iterative Method & , Eigen values of a matrix by Jacobi’s method for symmetric matrices, Newton’s Forward Interpolation Formula, Newton’s Backward Interpolation Formula, Tutorial 6
