Recent content by Ojo Saheed

  1. O

    Graduate How to reduce higher order partial differential equations

    Once again thanks. Actually, I have solved some problems regarding heat equations and system of ordinary differential equations recently using finite difference method. This particular equation is just a coupled problem of thermoelasticity involving heat and stress equations. Usually, I do solve...
  2. O

    Graduate How to reduce higher order partial differential equations

    Thanks for the response the_wolfman. I will proceed as you suggested but could you give me some hints on how to analyse the system to determine the optimal finite difference formulation for my problem? This is my first time to encounter this type of equations and I just think reducing it to...
  3. O

    Graduate How to reduce higher order partial differential equations

    Hello guys, I have the system of PDE below and I want to solve it using finite difference method but I think I have to reduce it first to a system of first order PDE. The problem is that I don't know how to reduce this PDE to a first order system. I will appreciate any hints in this regard...
    • Ojo Saheed
    • Thread
    • Differential Differential equations Higher order Partial Partial differential equations
    • Replies: 4
    • Forum: Differential Equations
  4. O

    Graduate Finite difference discretization for systems of higher ODEs

    Thanks for the reply Chet. Actually, I had thought that given an example of one the system of equations might suffice for a demonstration. In any case, a better representation of the system goes thus: y1(4)=a1y1''+a2y2''+a3y3''+a4y1+a5y2+a6y3+a7 y2(4)=b1y1''+b2y2''+b3y3''+b4y1+b5y2+b6y3+b7...
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    Graduate Finite difference discretization for systems of higher ODEs

    How can I use finite difference to discretize a system of fourth order differential equations? for example: y(4)+5y(3)-2y''+3y'-y=0