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| Numerical Methods and Error Estimates of Nonlinear Tw'O-Point Boundary Value Problem with Discontinous Coefficients |
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Citation： |
Li Likang.Numerical Methods and Error Estimates of Nonlinear Tw'O-Point Boundary Value Problem with Discontinous Coefficients[J].Chinese Annals of Mathematics B,1982,3(6):773~778 |
| Page view： 896
Net amount： 974 |
Authors： |
Li Likang; |
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| Abstract： |
In this paper we consider L^\infty error estimates for difference methods and Galerkin methods to solutions of nonlinear two-point boundary value problem
$[\left\{ {\begin{array}{*{20}{c}}
{ - D(pDu) + qu = f(x,u),0 < x < 1,}\{u(0) = u(1) = 0,}
\end{array}} \right.\]$
Where coefficient function p(x) is pieoewise continuous. Moreover, discontinuous points are not chosen to be a mesh points. |
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