Collocation method for a BVP - Predefined cases

Select the test problem please:
problem 1: y1' = y2, y2' = 2*y1/(1+x)2 ,
0<=x<=1, y1(0)=1, y1(1)=1/2 .
problem 2: y1' = y2, y2' = (y2)2 ,
y1(-1)=0, y1(1)=log(10)
problem 3: y1' = y2, y2'+exp(y1+1)=0,
y1(0)=y1(1)=0
lower solution wanted
upper solution wanted
problem 4: y1' = y2, y2'=(3/2)*y12,
2y1(0)+y2(0)=0, 3y1(1)+y2(1)-2=0
problem 5: y1' = y2, y2'=12*y1/x2+7x2,
y1(0)=y1(1)=0
problem 6: y1' = y2, y2'= 60y2-60,
y1(0)=y1(1)=0

Please specify the number of initial grid points here: this must be in the range {3,1000}
minit =



Here you decide whether to use some default values or to specify these explicitly:
Use the defaults
itmax= must be in {1,..,1000}
tol=must be in [1.0e-12,1.0e-2]
smally= must be >= 1.0e-12
specify whether to print a solution table or not:
no
yes

Here you decide whether to generate the initial guess for the solution internally or to specify it directly:
generate it internally
perturb =
must be in [0,1]
direct input of yinitial, n × minit values!

Warning!!! - This may take some time.

Click on "evaluate", in order to submit your input.

Back to the theory page

 Back to the top!

12.03.2013