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Numerical solution of a hyperbolic-Schrodinger equation with a multipoint nonlocal boundary condition
(Amer Inst Physics, 2016) Özdemir, Yıldırım; Erdogan, Sevilay
In this work, we suggest a numerical method to solve hyperbolic-Schrodinger partial differential equations with the multipoint nonlocal boundary condition. The stability estimates for the solution of the given problem are established. The first and second order of accuracy difference schemes are obtained for the solution of the given problem. These difference schemes are solved by using the method of modified Gauss elimination for one-dimensional hyperbolic-Schrodinger partial differential equations. The results of numerical experiments are given for supporting the method.