Need help having a problem with shooting mthd

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SUMMARY

The discussion revolves around solving a differential equation using the Shooting Method in MATLAB. The specific equation is d²T/dx² - 1*10^-7(T+273)⁴ + 4(150-T) = 0, with boundary conditions T(0) = 200 and T(0.5) = 100. The user seeks assistance in implementing the ODE23 function for solving the equation and using FZERO to establish consistent initial conditions. The importance of reducing the problem to a root-finding problem is emphasized as a crucial step in the process.

PREREQUISITES
  • Understanding of MATLAB programming and syntax
  • Familiarity with differential equations and boundary value problems
  • Knowledge of the Shooting Method for solving differential equations
  • Experience with MATLAB functions ODE23 and FZERO
NEXT STEPS
  • Study the implementation of the Shooting Method in MATLAB
  • Learn how to use the ODE23 function for solving ordinary differential equations
  • Research the FZERO function for root-finding in MATLAB
  • Explore examples of boundary value problems and their solutions in MATLAB
USEFUL FOR

Students and professionals in engineering, particularly those working with MATLAB for solving differential equations, as well as anyone interested in numerical methods for boundary value problems.

arditi
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need help please having a problem with shooting mthd

i am having a problem coding a MATLAB code for the given eqn

d^2T/dx^2 - 1*10^-7(T+273)^4+4(150-T)=0
BC T(0)=200 and T(0.5)=100

the differential equation should be solved by
the function ODE23, and the consistent initial condition should be found by the
function FZERO in Matlab. I have to reduce the problem to a root finding
problem somehow, but i just can't do it.
please help me
 
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Welcome to PhysicsForums!

I myself am hazy on the Shooting Method, but you may want to start here (or in your notes / textbook):
http://en.wikipedia.org/wiki/Shooting_method

...And for future reference, homework questions like this more properly belong in the Engineering and Computing Science homework forum.
 

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