Can You Solve This Finite Difference Equation Using Matlab?

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SUMMARY

The discussion centers on solving a finite difference equation using MATLAB. The equation presented is (1/α) dT/dt = d²T/dr² + (1/r) dT/dr + d²T/dz, with boundary conditions specified for T at various points. The user seeks assistance in developing a MATLAB program to implement the finite difference method with a third-order accuracy (O(h³)). However, the community emphasizes that while they can provide guidance, they will not complete the work for the user.

PREREQUISITES
  • Understanding of finite difference methods for partial differential equations
  • Proficiency in MATLAB programming, particularly for numerical simulations
  • Knowledge of boundary value problems and their formulations
  • Familiarity with numerical analysis concepts, specifically error analysis related to O(h³) methods
NEXT STEPS
  • Research the implementation of finite difference methods in MATLAB
  • Study boundary value problem techniques in numerical analysis
  • Learn about MATLAB's built-in functions for solving differential equations
  • Explore error analysis and stability considerations for O(h³) methods
USEFUL FOR

Mathematics students, engineers, and researchers involved in computational modeling and numerical simulations, particularly those working with partial differential equations in MATLAB.

sheyda.gh155
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hi dear
i have a question.
i have equation
(1/α ) dT/dt =d2T/dr2 +1/r dT/dr +d2T/dz

T=T(r,z)

T(Ri,z)=Ti

T(Ro,z)=To

T(r,0)=To

dT(r,L)/dz =0

by finite difference method O(h^3) and this question's MATLAB program. is there anyone who can do it ?
it is very important for me

tnx
 
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sheyda.gh155 said:
is there anyone who can do it ?
Yes, but we won't. It is up to you to do the work. Here on PF you can get answers for specific questions you have, but we don't do other peoples work.
 

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