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mixed derivatives, I coulnt understand how can I solve ıf there are two kind derivatives

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Hi ;
I have to solve this equation and u'' and v'' are the second order derivatives of longitudinal and transverse displacements along X axial ;
u^^ nad v^^ are second order derivatives versus time ( I used ^ instead . )
-pAu^^ +EA(u'+1/2*(v')^2)'=-EAu''
-pAv^^-(EIv'')''+pI(v^^)''+[EA(u'+1/2(v')^2)']v'=-EIv''
  3 Comments
John D'Errico
John D'Errico on 13 Jul 2020
You won't find analytical solutions. So use one of the many methods to find and characterize numerical solutions of PDEs. Which probably means you need to do a lot of reading, before your fingers ever write any code.

Answers (1)

Gloria
Gloria on 13 Jul 2020
  2 Comments

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