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Week - 1 |
Basic Concepts, Definition ordinary differential equations |
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Week - 2 |
definition of initial boundary conditions adn bacis concepts |
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Week - 3 |
difference equations |
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Week - 4 |
single step methods |
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Week - 5 |
Taylor series method, Euler method, Runge
Kutta methods |
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Week - 6 |
consistency analysis, stability analysis |
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Week - 7 |
implicit runge kutta methods |
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Week - 8 |
Obrechkoff mehods |
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Week - 9 |
multi step methods |
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Week - 10 |
explicit multi step methods |
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Week - 11 |
implicit multistep methods |
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Week - 12 |
general linear multistep methods |
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Week - 13 |
consistency analysis of multistep methods |
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Week - 14 |
stability analysis of multistep methods |