Solving Second Order ODE

REPORT: AIM: To solve the conduction equation using a Transient solver and a Steady state solver using Iterative techniques (Jacobi,Gauss Seidal,SOR). EXPLANATION: For a steady state, the limit beyond which there will be no more changes obtained in its value is found. In transient state, \'dt\' value changes, so their…

REPORT: AIM: To derive the following fourth order approximation of the second order derivative Central differencing Skewed right sided difference Skewed left sided difference EXPLANATION: 1. CENTRAL DIFFERENCING: Let f(i) be a function whose terms in a stencil values include f(i-2), f(i-1), f(i+1) and f(i+2) at a distance…

REPORT: I. AIM: To generate a code to parse the NASA Thermodynamic data file and to calculate the thermodynamic properties of specified gases. II. EXPLANATION: 1. Declaring the Universal Gas constant R as input. 2. In order to get the temperature values, first open the file using \'fopen\' to load the file from the directory.…

REPORT: I. AIM: To write a code to simulate Rankine Cycle RANKINE CYCLE: The Rankine cycle is an idealized thermodynamic cycle of a heat engine that converts heat into mechanical work while undergoing phase change The Rankine cycle is a model used to predict the performance of steam turbine systems.…

AIM: To show a plot that compares the effect of number of moles of carbon on the stoichiometric co-efficient 'ar' and also to compare how this trend changes with the fuel type(alkane, alkene and alkyne). EQUATION: where, n = No. of moles of C ar = Stoichiometric co-efficient a = No. of moles of Carbon di-oxide b = No.…

REPORT: I. AIM: To write a code in MATLAB to optimize the stalagmite function and find the global maxima of the given function.   GENETIC ALGORITHM: Genetic Algorithm is a method of solving both constrained and unconstrained optimization problems which are based on natural selection which drives biological evolution.…

I. AIM: To Simulate the motion of a Simple Pendulum by solving Secong Order Ordinary Differential Equation. II. EXPLANATION: The following steps are carried to simulate a transient movement of a simple pedulum and to animate its motion. STEP 1: The input variables are first declared in the function declaration section…

I. AIM: To write a program in MATLAB to simulate the forward kinematics of a 2R Robotic Arm. II. EXPLANATION: The following steps are carried to provide a simulation of a forward kinematics of a 2R Robotic Arm.    STEP 1: All the necessay inputs such as the lenght of the individual links(l), angle of rotation…

AIM: To create a PV diagram, To produce the thermal efficiency of the engine Air Standard Cycle(Otto Cycle): An Otto cycle is an idealized thermodynamic cycle that describes the functioning of a typical spark ignition piston engine. It is the thermodynamic cycle most commonly found in…

Given: Write a Matlab program to calculate drag force against a cyclist. The factors involved are Velocity,Drag coefficient,Frontal Area,Density of air. Write a program to plot Velocity vs Drag force. Write a program to plot Drag Co-efficient vs Drag force. EXPLANATION: DRAG FORCE:  A 'DRAG FORCE' is the resistance…