5CH4-Numerical Methods in Chemical Engineering |
Units: I |
Linear Algebraic Equations : Introduction, Gauss-Elimination, Gauss-Siedel and LU
Decomposition Methods, Thomas’ algorithm.
Eigen Values and Eigen Vectors of Matrices: Introduction, Fadeev Leverrier’s method,
Power method, Householder’s and Givens’ method.
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Units: II |
Nonlinear, Algebraic Equations: Single variable and multivariable successive
substitution method, single variable and multivariable newton-Raphson technique,
Polynomial rood finding methods |
Units: III |
Ordinary differential Equations – Initial Value Problems: Explicit Adams – Bashforth
technique, Implicit Adams-Moulton technique, Predictor-corrector technique, Runge-Kutta
methods, stability of algorithms.
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Units: IV |
Ordinary differential equations – Boundary Value Problems: Finite difference technique,
Orthogonal collocation (OC), Orthogonal collocation on finite Elements (OCFE), Galerkin
Finite Element (GFE) technique, shooting techniques.
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Units: V |
Partial differential Equations: Partial Differential Equations (PDE) Classification of PDE,
Finite difference technique (Method of lines), Orthogonal collocation. Case Studies. Use of
spreadsheets in Chemical Engineering.
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Text/ Reference Books |
1. Gupta, S.K., “Numerical Methods for Engineers”, New Age International Ltd.
New Delhi, 1995.
2. Hanna, O.T. and Sandall, O.C., “Computational Methods in Chemical
Engineering” Prentice-Hall, 1975
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