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How do I solve fourth order PDEs numerically using MatLab?
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I am trying to solve
$$ rho A cdot frac partial^2 y partial t^2 + EI cdot frac partial^4 y partial x^4 + P cdotfrac partial^2 y partial x^2 = 0 $$
numerically using Matlab,
with boundary conditions
$$ y(0,t) = fracpartial ypartial x(0,t) = fracpartial^2 ypartial x^2(L,t) = fracpartial^3 ypartial x^3(L,t) = 0$$
where $rho$, A, E, I, P are constants.
matlab
asked Jul 19 at 11:15
user572780
123
add a comment |Â
up vote
0
down vote
favorite
I am trying to solve
$$ rho A cdot frac partial^2 y partial t^2 + EI cdot frac partial^4 y partial x^4 + P cdotfrac partial^2 y partial x^2 = 0 $$
numerically using Matlab,
with boundary conditions
$$ y(0,t) = fracpartial ypartial x(0,t) = fracpartial^2 ypartial x^2(L,t) = fracpartial^3 ypartial x^3(L,t) = 0$$
where $rho$, A, E, I, P are constants.
matlab
asked Jul 19 at 11:15
user572780
123
What have you actually tried?
– Rumplestillskin
Jul 19 at 11:51
@Rumplestillskin I read about pdepe but could not apply it to this equation since it is a fourth order PDE.
– user572780
Jul 19 at 12:32
This Q&A may offer some insight -- math.stackexchange.com/questions/1306045/…
– Kyle
Jul 19 at 18:53
@Kyle I don't understand.
– user572780
Jul 20 at 7:37
add a comment |Â
up vote
0
down vote
favorite
up vote
0
down vote
favorite
I am trying to solve
$$ rho A cdot frac partial^2 y partial t^2 + EI cdot frac partial^4 y partial x^4 + P cdotfrac partial^2 y partial x^2 = 0 $$
numerically using Matlab,
with boundary conditions
$$ y(0,t) = fracpartial ypartial x(0,t) = fracpartial^2 ypartial x^2(L,t) = fracpartial^3 ypartial x^3(L,t) = 0$$
where $rho$, A, E, I, P are constants.
matlab
asked Jul 19 at 11:15
user572780
123
I am trying to solve
$$ rho A cdot frac partial^2 y partial t^2 + EI cdot frac partial^4 y partial x^4 + P cdotfrac partial^2 y partial x^2 = 0 $$
numerically using Matlab,
with boundary conditions
$$ y(0,t) = fracpartial ypartial x(0,t) = fracpartial^2 ypartial x^2(L,t) = fracpartial^3 ypartial x^3(L,t) = 0$$
where $rho$, A, E, I, P are constants.
matlab
asked Jul 19 at 11:15
user572780
123
asked Jul 19 at 11:15
user572780
123
asked Jul 19 at 11:15
user572780
123
asked Jul 19 at 11:15
user572780
123
123
What have you actually tried?
– Rumplestillskin
Jul 19 at 11:51
@Rumplestillskin I read about pdepe but could not apply it to this equation since it is a fourth order PDE.
– user572780
Jul 19 at 12:32
This Q&A may offer some insight -- math.stackexchange.com/questions/1306045/…
– Kyle
Jul 19 at 18:53
@Kyle I don't understand.
– user572780
Jul 20 at 7:37
add a comment |Â
What have you actually tried?
– Rumplestillskin
Jul 19 at 11:51
@Rumplestillskin I read about pdepe but could not apply it to this equation since it is a fourth order PDE.
– user572780
Jul 19 at 12:32
This Q&A may offer some insight -- math.stackexchange.com/questions/1306045/…
– Kyle
Jul 19 at 18:53
@Kyle I don't understand.
– user572780
Jul 20 at 7:37
What have you actually tried?
– Rumplestillskin
Jul 19 at 11:51
What have you actually tried?
– Rumplestillskin
Jul 19 at 11:51
@Rumplestillskin I read about pdepe but could not apply it to this equation since it is a fourth order PDE.
– user572780
Jul 19 at 12:32
@Rumplestillskin I read about pdepe but could not apply it to this equation since it is a fourth order PDE.
– user572780
Jul 19 at 12:32
This Q&A may offer some insight -- math.stackexchange.com/questions/1306045/…
– Kyle
Jul 19 at 18:53
This Q&A may offer some insight -- math.stackexchange.com/questions/1306045/…
– Kyle
Jul 19 at 18:53
@Kyle I don't understand.
– user572780
Jul 20 at 7:37
@Kyle I don't understand.
– user572780
Jul 20 at 7:37
add a comment |Â
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What have you actually tried?
– Rumplestillskin
Jul 19 at 11:51
@Rumplestillskin I read about pdepe but could not apply it to this equation since it is a fourth order PDE.
– user572780
Jul 19 at 12:32
This Q&A may offer some insight -- math.stackexchange.com/questions/1306045/…
– Kyle
Jul 19 at 18:53
@Kyle I don't understand.
– user572780
Jul 20 at 7:37