Code covered by the BSD License

### Highlights from Galerkins method over "ne" elements for solving 2nd-order homogeneous, c.c BVP

5.0

5.0 | 1 rating Rate this file 12 Downloads (last 30 days) File Size: 603 KB File ID: #40153

# Galerkins method over "ne" elements for solving 2nd-order homogeneous, c.c BVP

Implement Galerkin method over "ne" individual elements for solving 2nd order BVPs

File Information
Description

The purpose of this program is to implement Galerkin method over "ne" individual elements for solving the following general 2nd order,
homogeneous, Boundary Value problem (BVP) with constant coefficients, and then comparing the answer with the exact solution.

ax"(t)+bx'(t)+cx(t)=0 for t1<=t<=t2
BC: x(t1)=x1 and x(t2)=x2

>> BVP_Galerkin(a,b,c,t1,t2,x1,x2,ne)
where "ne" is the number of elements

The output of this program is
1- The approximated x(t) vs. exact x(t)
2- The approximated x'(t) vs. exact x'(t)
3- The approximated x"(t) vs. exact x"(t)

Example:
x"(t)+ 0.5x'(t)+ 10x(t)=0
BC: x(1)=2, x(10)=0;
Solution: We have: a=1;b=2;c=3;
t1=1;t2=10;
x1=2;x2=0;
Using ne=128 elements,
>>BVP_Galerkin2(1,2,3,1,10,2,0,128)

MATLAB release MATLAB 7.11 (R2010b)