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  1. Home/
  2. GAURAV KHARWADE/
  3. Solving Ordinary Differential Equations using lsode- Simple Pendulum

Solving Ordinary Differential Equations using lsode- Simple Pendulum

Objective: To write a program that solves the ODE which represents the equation of motion of a simple pendulum with damping. Simulate the motion between 0-20 sec Theory: In Engineering, ODE is used to describe the transient behavior of a system.  A simple example is a pendulum. The way the pendulum moves…

  • MATLAB

  • GAURAV KHARWADE

    updated on 21 Oct 2019

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Read more Projects by GAURAV KHARWADE (44)

Week 9 - Senstivity Analysis Assignment

Objective:

Objective: To write the code which will take entire reactions of GRI mechanism 3.0 and take out the most sensitive top 10 reactions. The main parameters are as follows: Write code to list out the top 10 most sensitive reactions from a list of all reactions from the GRI mechanism. The sensitivity parameters should be with…

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04 Jan 2021 05:51 PM IST

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    Auto ignition analysis of combustible mixture methane under different conditions using Cantera and Python

    Objective:

    Objective: To study auto-ignition using Cantera. Following are the tasks to perform using Cantera: Plot the variation of Auto Ignition time of Methane with a constant temperature of 1250K and pressure varying from 1 to 5 atm. Plot the variation of Auto Ignition time…

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    06 Dec 2020 04:55 AM IST

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      Week 6 - Multivariate Newton Rhapson Solver

      Objective:

      Objective: To solve a given set of Ordinary Differential equations using the Multi-Variate Newton Raphson Method. Given: The set of ODE's are given below: dy1dt=−0.04⋅y1+104⋅y2⋅y3dy1dt=-0.04⋅y1+104⋅y2⋅y3 dy2dt=0.04⋅y1−104⋅y2⋅y3−3⋅107⋅y22dy2dt=0.04⋅y1-104⋅y2⋅y3-3⋅107⋅y22 dy3dt=3⋅107⋅y22dy3dt=3⋅107⋅y22 The jacobian should be estimated numerically and not analytically.…

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      01 Nov 2020 03:50 AM IST

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        Week 5 - Literature review: ODE Stability

        Objective:

        Objective: To review the literature about ODE and to write the python program to substantiate our results. Theory:                                                            â€¦

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        20 Oct 2020 03:52 PM IST

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