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Therefore, high accuracy solutions are always needed.
It is discovered that this formulation can reached second-order accurate and obtained accuracy solutions with little additional cost for a couple of fluid flow problems.
It is discovered that the high order approximations do indeed produce high accuracy solutions and have a potential for use in solving important problems of viscous fluid flows.
To quantify and control such errors and obtain high accuracy solutions, we consider a class of problems which involve second derivative of unknowns with respect to time.
Numerical examples show that the proposed method still gives high accuracy solutions when there is a great difference in magnitude among the eigenvalues, and also when some eigenvalues are very close to each other.
Numerical experiments are used to show that a graded mesh and a grid transformation are necessary to compute high accuracy solutions for the convection diffusion problems with boundary layers and dicretized by the fourth-order compact scheme.
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High accuracy solution of PDEs requires proper error analysis.
(3) The FMG method only computes the fourth-order accuracy solution of each discretization system.
A new error estimation procedure for polynomial solution and a technique to find a high accuracy solution are developed.
However, a distinction in performance between the three models can be made based on accuracy, solution generation time and numerical stability.
Because of the large amount of possible display configurations and the complexity of the relationships, an accuracy solution procedure cannot be applied.
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Justyna Jupowicz-Kozak
CEO of Professional Science Editing for Scientists @ prosciediting.com