The approximation of the numerical derivative with the analytical derivative can be done with the help of Taylor Table method. Where the expansion of the f(i-1), f(i-2), f(i+1), f(i+2).. etc can be done with the help of taylor series method and then by equating the quotients, we can get the value of the unknowns. …

The linear convection is the problem we involves the following equation,  `(∂u)/(∂t)+ c.(∂u)/(∂x)=0` By converting this equation into analytical format, we use the taylor series expansion, where by applying the First order Forward diffencing with first order error to the time derivative term we…

Aim: To write program in Python to solve the System of 2nd Order Differential Equation(ODE) and to visualize the position of the simple pendulum at various instances of time. The ODE represent the equation of motion of a simple pendulum with damping.  Theory: The ODE are generally used to solve the transient behaviour…

Aim: To understand the principles of Otto cycle and to plot the pressure vs Volume curve using Python libraries. And to Determine the Thermal Efficiency of the Ideal cycle . Theory: The Otto Cycle involves the 4 process Step 1 :Compression 1 - 2 : Process 1 to 2 is an Adiabatic Compression (adiabatic and reversable hence…

AIM To make the best possible Curve Fit of the Temperature vs Specific heat with the given practical data using Python.  Objective To determine best possible curve fit that helps us understand the variation of specific heat and temperature using Python. This best possible fit is used for numerical calculations purpose. …

AIM To write script to split the data into sets of column and plots the desired graphs. To find the area under the pressure vs volume curve and to find the power output of the engine and the specific fuel consumption.  To write the script to also check the conpatability check, if the file is not present in the working…