Resources of Physical Problems

Do you want to follow one of
physical examples given below to learn the numerical methods? (Yes) 
DIFFERENTIATION 

Chemical Engineering 
How quickly does the slick spread? 

Civil Engineering 
Stress Concentration Around a Hole 

Computer Engineering 
Detecting edges of images 

Electrical Engineering 
Avoiding arcing in switches 

General
Engineering 
Finding the acceleration of a rocket from its velocity. 

Industrial
Engineering 
Reliability of manufactured parts over time 

Mechanical
Engineering 
How does the thermal expansion coefficient vary at different temperatures? 



Nonlinear Equations 

Chemical Engineering 
A scale to measure oil in a tank 

Civil Engineering 
Sagging bookshelves!


Computer Engineering 
Divide unit missing in a supercomputer? 

Electrical Engineering 
Checking calibration curve of a thermistor 

General
Engineering 
How much of the float is submerged? 

Industrial
Engineering 
Mom and Pop shop wants to break even 

Mechanical
Engineering 
Trunnion cool down for a shrink fit 



Simultaneous Linear Equations 

Chemical Engineering 
LiquidLiquid extraction 

Civil Engineering 
How much pressure can a compounded cylinder
take? 

Computer Engineering 
To infer the surface
shape from images 

Electrical Engineering 
Finding the unbalance in
a 3phase load system 

General Engineering 
Finding the velocity
profile of a rocket 

Industrial Engineering 
Maximizing the
production schedule 

Mechanical Engineering 
Find model for thermal
expansion vs temperature. 

Interpolation 

Chemical Engineering 
Tea time: time needed to boil the water 

Civil Engineering 
Tips on bass fishing


Computer Engineering 
Short and smoothest path for a robot 

Electrical Engineering 
Measuring temperature by a thermistor 

General Engineering 
Predict velocity of a rocket 

Industrial Engineering 
Profiling a cam 

Mechanical Engineering 
Calculating the shrinkage of a trunnion correctly 



Regression 

Chemical Engineering 
Infrared spectroscopy 

Civil Engineering 
Finding the longitudinal
Young's moduli 

Computer Engineering 
Extraction of road
networks in images 

Electrical Engineering 
Finding the appropriate
value for the resistance 

General Engineering 
Finding the best
mousetrap for a mousetrap car


Industrial Engineering 
When should the machine
be stopped? 

Mechanical Engineering 
Calculating the
contraction of a trunnion 




Integration 

Chemical Engineering 
Time required for oxygen to be consumed in the fuel cell 

Civil Engineering 
Is the toxicity level of benzene dangerous? 

Computer Engineering 
To infer the surfaces from vector fields 

Electrical Engineering 
Confidence in acceptable circuit behavior 

General Engineering 
Distance covered by a rocket 

Industrial Engineering 
Are there as many plies of tissue paper in a roll? 

Mechanical Engineering 
Finding the shrinkage of
a trunnion? 






Ordinary Differential Equations 

Chemical Engineering 
Controlling sodium chloride waste while making
soap. 

Civil Engineering 
When is it safe to go back into the lake? 

Computer Engineering 
Transient analysis of resistorcapacitor system 

Electrical Engineering 
Sizing a
rectifierbased power supply 

General Engineering 
How
much time will it take the ball to cool down? 

Industrial Engineering 
Speed Control of DC motors 

Mechanical Engineering 
Contracting a cylinder to shrink fit in to a hub 