Solving of the fractional non-linear and linear Schrödinger equations by homotopy perturbation method. (English) Zbl 1231.65188
Summary: The homotopy perturbation method is applied to obtain approximate analytical solutions of fractional non-linear Schrödinger equations. The solutions are obtained in the form of rapidly convergent infinite series with easily computable terms. We illustrate the ability of the method for solving fractional non-linear equations by some examples.
MSC:
| 65M99 | Numerical methods for partial differential equations, initial value and time-dependent initial-boundary value problems |
| 35R11 | Fractional partial differential equations |
| 35B20 | Perturbations in context of PDEs |
| 65L99 | Numerical methods for ordinary differential equations |
