Approach to solve a partio-Integral Differential equation












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I would appreciate some guidance in handling a Partio - Integral differential equation (PIDE) which was generated as a result of three PDEs.



begin{eqnarray}
lambda_h frac{partial^2 theta_w}{partial x^2} + lambda_c V frac{partial^2 theta_w}{partial y^2} +( -beta_h - V beta_c )theta_w +beta_h^2 e^{-beta_h x} int e^{beta_h x} theta_w(x,y) mathrm{d}x + beta_c^2 e^{-beta_c y}int e^{beta_c y} theta_w(x,y)mathrm{d}y = 0
end{eqnarray}



The limits of the integration are between 0 and 1.










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    I would appreciate some guidance in handling a Partio - Integral differential equation (PIDE) which was generated as a result of three PDEs.



    begin{eqnarray}
    lambda_h frac{partial^2 theta_w}{partial x^2} + lambda_c V frac{partial^2 theta_w}{partial y^2} +( -beta_h - V beta_c )theta_w +beta_h^2 e^{-beta_h x} int e^{beta_h x} theta_w(x,y) mathrm{d}x + beta_c^2 e^{-beta_c y}int e^{beta_c y} theta_w(x,y)mathrm{d}y = 0
    end{eqnarray}



    The limits of the integration are between 0 and 1.










    share|cite|improve this question







    New contributor




    Indrasis Mitra is a new contributor to this site. Take care in asking for clarification, commenting, and answering.
    Check out our Code of Conduct.























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      0







      I would appreciate some guidance in handling a Partio - Integral differential equation (PIDE) which was generated as a result of three PDEs.



      begin{eqnarray}
      lambda_h frac{partial^2 theta_w}{partial x^2} + lambda_c V frac{partial^2 theta_w}{partial y^2} +( -beta_h - V beta_c )theta_w +beta_h^2 e^{-beta_h x} int e^{beta_h x} theta_w(x,y) mathrm{d}x + beta_c^2 e^{-beta_c y}int e^{beta_c y} theta_w(x,y)mathrm{d}y = 0
      end{eqnarray}



      The limits of the integration are between 0 and 1.










      share|cite|improve this question







      New contributor




      Indrasis Mitra is a new contributor to this site. Take care in asking for clarification, commenting, and answering.
      Check out our Code of Conduct.











      I would appreciate some guidance in handling a Partio - Integral differential equation (PIDE) which was generated as a result of three PDEs.



      begin{eqnarray}
      lambda_h frac{partial^2 theta_w}{partial x^2} + lambda_c V frac{partial^2 theta_w}{partial y^2} +( -beta_h - V beta_c )theta_w +beta_h^2 e^{-beta_h x} int e^{beta_h x} theta_w(x,y) mathrm{d}x + beta_c^2 e^{-beta_c y}int e^{beta_c y} theta_w(x,y)mathrm{d}y = 0
      end{eqnarray}



      The limits of the integration are between 0 and 1.







      differential-equations






      share|cite|improve this question







      New contributor




      Indrasis Mitra is a new contributor to this site. Take care in asking for clarification, commenting, and answering.
      Check out our Code of Conduct.











      share|cite|improve this question







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      Check out our Code of Conduct.









      share|cite|improve this question




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      asked Jan 4 at 2:52









      Indrasis MitraIndrasis Mitra

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