Exact(60)
It is then possible to return to the original boundary value problem by applying a suitable transformation to the transformed boundary value problem above.
Applying transformation (2.1) to the boundary conditions results in a so-called transformed boundary value problem, where either the new boundary conditions have more -dependence, less -dependence, or the same amount of -dependence as the original boundary conditions.
The transformed boundary layer equations are solved numerically using MATLAB (bvp4c).
The transformed boundary layer equations are solved numerically by a finite difference scheme, namely the Keller-box method.
The resulting coupled, nonlinear equations are solved under appropriate transformed boundary conditions using the Network Simulation Method.
Three types of boundaries were found, namely polygonized dislocation wall, partially transformed boundary, and grain boundary.
This paper develops a novel boundary meshless approach, Laplace transformed boundary particle method (LTBPM), for numerical modeling of time fractional diffusion equations.
Then the transformed boundary conditions and the forcing function are extended to a square, smoothly and periodically, via multiplying them by some suitable error functions.
The partial differential equation for displacement is further converted into ordinary differential equations by using the Galerkin method, which represent a stochastic multi-degree-of-freedom system with asymmetric stiffness matrix due to the asymmetric electrical and mechanical coupling and the transformed boundary conditions.
The transformed boundary conditions are (17).
We call (2.14) the transformed boundary conditions.
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