Numerical Solution of a Hyperbolic-Schrödinger Equation with Nonlocal Boundary Conditions
| Subject | Applied Mathematics |
| Title | Numerical Solution of a Hyperbolic-Schrödinger Equation with Nonlocal Boundary Conditions |
| Author(s) | Yildirim OZDEMIR and Mehmet KUCUKUNAL |
| Keywords | nonlocal boundary value problem, hyperbolic-Schrödinger equation, difference scheme, stability |
| Abstract | A numerical method is proposed for solving hyperbolic-Schrödinger partial di¤erential equations with nonlocal boundary condition. The rst and second orders of accuracy di¤erence schemes are presented. A procedure of modi ed Gauss elimination method is used for solving these di¤erence schemes in the case of a one-dimensional hyperbolic-Schrödinger partial di¤erential equations. The method is illustrated by numerical examples. |