No |
Units |
Titles |
Sub Titles |
Chapters |

1 |
Unit 1 |
Numerical solution of Algebraic and Transcendental equations |
Method of false position, Newton - Raphson method |
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| |
Partial Differential Equations I |
Formation of PDE S by elimination of arbitrary constants and arbitrary functions, Solution of PDE - Lagrange s linear form, Method of separation of variables |
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2 |
Unit 2 |
Partial Differential Equations-II |
Derivation of one dimensional heat and wave equations, Numerical solution of one dimensional heat and wave equations, Two dimensional Laplace equation, Poisson equation |
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3 |
Unit 3 |
Finite Differences and Interpolation |
Forward and backward differences, Interpolation,
Newton-Gregory forward and backward Interpolation formulae, Lagrange s interpolation formula, Newton s divided difference interpolation formula (no proof) |
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| |
Numerical Differentiation and Numerical Integration |
Derivatives using Newton- Gregory forward and backward interpolation formulae, Newton-Cote s quadrature formula, Trapezoidal Rule, Simpson s (1/3)rd rule, Simpson s(3/8)th rule |
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4 |
Unit 4 |
Models for Blood Flows |
Basic concepts of fluid dynamics, Hagen Poiseuille flow, Basic concepts about blood, Cardiovascular system and blood flows, Blood flow through artery with mild stenosis |
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5 |
Unit 5 |
Models of flows for other Bio-fluids |
Peristaltic flows in Bio mechanics, Peristaltic motion in channels, Characteristic dimensionless parameters, Models for Gas exchange and air flow in lungs, Alveolar sacs, pulmonary capillaries, Weibel s model for flows in lung air ways, Two dimensional flow in renal tubule Function of Renal tube- Basic equations and boundary conditions |
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