Results 1 to 6 of 6
Like Tree2Thanks
  • 1 Post By chiro
  • 1 Post By HallsofIvy

Thread: second order differential equation with two variables, please have a look

  1. #1
    Newbie
    Joined
    Sep 2015
    From
    Bradford - United Kingdom
    Posts
    6

    second order differential equation with two variables, please have a look

    Dear Sir, Madam,
    I hope you are doing well..
    At first let me introduce myself.. I am Mudhar an international Ph.D student in the University of Bradford, United Kingdom working in modeling of reverse osmosis units for wastewater treatment. Actually I have stacked with a solution of second order differential equation. Unfortunately I couldn't find a way to solve this problem ... please. AS expected, In case if I can solve this equation this might guide me to construct my new model.
    My equation has two variables in the right side of equation as mentioned below please
    d2F(x) / dx2 ) = alpha * F(x)) / [ (Beta - (gama * C(x)) ]
    where alpha , beta , gama are constants but F(x) and C(x) are variable with x dimension I have boundary conditions for this equation as


    at x =0, F(x) = F(inlet), C(x) = C(inlet) at x = L , F(x) = F(outlet) , C(x) = C(outlet)
    Please do me a fevour and have a look at my attachment and you definitely will let me know if there is a possible solution or not.
    I will be waiting for your response even if takes a long time
    Accept my apologize for inconvenience
    Warm regards
    Mudhar


    Follow Math Help Forum on Facebook and Google+

  2. #2
    MHF Contributor
    Joined
    Sep 2012
    From
    Australia
    Posts
    6,608
    Thanks
    1714

    Re: second order differential equation with two variables, please have a look

    Hey mudharalaubedy.

    I think you forgot to add your attachment.
    Thanks from mudharalaubedy
    Follow Math Help Forum on Facebook and Google+

  3. #3
    Newbie
    Joined
    Sep 2015
    From
    Bradford - United Kingdom
    Posts
    6

    Re: second order differential equation with two variables, please have a look

    Oh sorry this is because i write down my specific problem even that i will do it now and thanks for reminding me and hope you might solve my threat
    regards
    mudhar
    Follow Math Help Forum on Facebook and Google+

  4. #4
    MHF Contributor

    Joined
    Apr 2005
    Posts
    20,249
    Thanks
    3366

    Re: second order differential equation with two variables, please have a look

    So your equation is $\displaystyle \frac{d^2F}{dx^2}=\frac{\alpha F(x)}{\beta- \gamma C(x)}$?

    And you have the values of both F and C at x= 0 and x= L?

    The problem is that you have two different unknown functions, F and C, with only one equation. Generally, you cannot solve a single equation for two unknowns. For example, you could choose a number of different functions for C, as long as they satisfy the boundary conditions, and solve for F.
    Thanks from mudharalaubedy
    Follow Math Help Forum on Facebook and Google+

  5. #5
    Newbie
    Joined
    Sep 2015
    From
    Bradford - United Kingdom
    Posts
    6

    Re: second order differential equation with two variables, please have a look

    My attachment please
    second order differential equation with two variables, please have a look-_-.jpg
    Follow Math Help Forum on Facebook and Google+

  6. #6
    Newbie
    Joined
    Sep 2015
    From
    Bradford - United Kingdom
    Posts
    6

    Re: second order differential equation with two variables, please have a look

    thank you sir for your interesting
    so you mean that I have to insert some equation linked between C(x) and F(x) in order to make my equation has only F(x) as a variable .... i got this idea but unfortunately i don;t have an equation linked these variables
    which might makes the solution is impossible
    is that right or there is another way
    someone told me that you can solve it in case of using Range-Kutta method
    Regards
    Last edited by mudharalaubedy; Sep 19th 2015 at 04:43 PM.
    Follow Math Help Forum on Facebook and Google+

Similar Math Help Forum Discussions

  1. Single second order partial differential equation (heat equation)
    Posted in the Differential Equations Forum
    Replies: 4
    Last Post: Mar 8th 2015, 12:59 PM
  2. Replies: 2
    Last Post: Sep 21st 2011, 03:37 PM
  3. homogeneous differential equation->separation of variables
    Posted in the Differential Equations Forum
    Replies: 1
    Last Post: Apr 12th 2010, 09:19 AM
  4. Replies: 4
    Last Post: Aug 31st 2009, 06:10 AM
  5. Replies: 2
    Last Post: Nov 25th 2008, 09:29 PM

Search Tags


/mathhelpforum @mathhelpforum