High order boundary conditions are implemented.
The fractional order boundary value problems are especially popular.
Also, higher order boundary conditions for stress tensor and heat flux are presented and discussed.
The proposed method is numerically illustrated for the solutions of different higher order boundary value problems.
For more details on anti-periodic fractional order boundary value problems, see [28].
Shivanian and Abbasbandy [11] discussed PHAM for two points second order boundary value problems.
In the simulations, an inverse Lax Wendroff procedure is adopted to construct a high order boundary in order to treat the complex boundaries.
This makes the implementation of a fifth order boundary treatment practical for 2D systems with source terms.
We first transform the original two-dimensional MHD Jeffery–Hamel problem into an equivalent third order boundary value problem (BVP).
We construct stable, maximal order boundary closures for high order central difference methods.
