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ECL 201: SCIENTIFIC COMPUTING LABORATORY (USING MATLAB)

Video for beginners

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Solution of ordinary differential Equation

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  OBJECTIVE To solve ordinary differential Equation LEARNING OUTCOMES After the completion of this experiment students will be able to solve   ordinary differential Equation SOFTWARE USED:                  MATLAB ® R2017a   1. Solve the first order differential equation With initial condition x(0)=1 Program syms x(t); eqn= diff(x,t)+ 2*x ==0; cond= x(0)==1; soln= dsolve(eqn,cond) t=0:0.05:10 s=subs(soln) plot(s) title('Response of firt order differential equation') xlabel('time') Output soln = exp(-2*t) 2. solve second order differential equation Program syms x(t) ; eqn= diff(x,t,2) + 2*diff(x,t) + 2*x   == exp(-t); soln= dsolve(eqn); soln=simplify(soln) OUTPUT soln =  exp(-t)*(C4*cos(t) + C5*sin(t) + 1)   3. Solve the differential equation cos(2*x)-y y(0)=1 y’(0)=0 PROGRAM syms y(x) Dy = diff(y); ode = di...
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REALIZATION OF ARRAYS AND MATRICES

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  OBJECTIVE ·          To familiarize with the realization of arrays and matrixes and their visualization using plotting functions and GUI   LEARNING OUTCOMES ·     After the completion of this experiment students will be able to approximate an array/matrix with matrix decomposition. SOFTWARE USED:                  MATLAB ® R2017a 1.   The voltage, v, across a resistance is given as (Ohm’s Law), v=iR , where i is the current and R the resistance. The power dissipated in resistor R is given by the expression P = i 2 R. If R = 10 Ohms and the current is increased from 0 to 10 A with increments of 2A, write a MATLAB program to generate a table of current, voltage and power dissipation. PROGRAM clc; clear all ; close all ; R=10; % Resistance value i=[0:2:10]; % Generate current values v=i.*R; % array multiplication to obtain ...
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