Numerical solution to the second order of accuracy difference scheme for the source identification elliptic-telegraph problem

In the present paper, source identification problem for the elliptic-telegraph equation is investigated. The second order of accuracy absolute stable difference scheme for the numerical solution of the one-dimensional identification problem for the elliptic-telegraph equation with the Dirichlet condition is presented. Some numerical results are provided.

[1]  M. Mansour EXISTENCE OF TRAVELING WAVE SOLUTIONS IN A HYPERBOLIC-ELLIPTIC SYSTEM OF EQUATIONS∗ , 2006 .

[2]  M. Ashyraliyev,et al.  FDM for the integral-differential equation of the hyperbolic type , 2014 .

[3]  Mehdi Dehghan,et al.  An inverse problem of finding a source parameter in a semilinear parabolic equation , 2001 .

[4]  C. Ashyralyyev High order approximation of the inverse elliptic problem with Dirichlet-Neumann conditions , 2014 .

[5]  S. Jator Block Unification Scheme for Elliptic, Telegraph, and Sine-Gordon Partial Differential Equations , 2015 .

[6]  A. Ashyralyev,et al.  On the problem of determining the parameter of an elliptic equation in a Banach space , 2014 .

[7]  A. Lorenzi,et al.  Identification problems for parabolic delay differential equations with measurement on the boundary , 2007 .

[8]  M. Yamamoto,et al.  Generic well-posedness of a linear inverse parabolic problem with diffusion parameters , 1999 .

[9]  A. Ashyralyev,et al.  The hyperbolic–elliptic equation with the nonlocal condition , 2014 .

[10]  Abdullah Said Erdogan,et al.  On the second order implicit difference schemes for a right hand side identification problem , 2014, Appl. Math. Comput..

[11]  A. Ashyralyev,et al.  On Source Identification Problem for Telegraph Differential Equations , 2015 .

[12]  Allaberen Ashyralyev,et al.  New Difference Schemes for Partial Differential Equations , 2004 .

[13]  A. Ashyralyev,et al.  A note on the difference schemes for hyperbolic-elliptic equations , 2006 .