Construction of Compact Finite Difference Schemes by Classic Differential Quadrature
نویسندگان
چکیده
منابع مشابه
Construction of Compact Finite Difference Schemes by Classic Differential Quadrature
Using classic differential quadrature formulae and uniform grids, this paper systematically constructs a variety of high-order finite difference schemes, and some of these schemes are consistent with the so-called boundary value methods. The derived difference schemes enjoy the same stability and accuracy properties with correspondent differential quadrature methods but have a simpler form of c...
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In the present study, high order compact finite difference methods is used to solve one-dimensional Bratu-type equations numerically. The convergence analysis of the methods is discussed and it is shown that the theoretical order of the method is consistent with its numerical rate of convergence. The maximum absolute errors in the solution at grid points are calculated and it is shown that the ...
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ژورنال
عنوان ژورنال: Applied Sciences
سال: 2017
ISSN: 2076-3417
DOI: 10.3390/app7030284