Modified oci scheme for two-point boundary-value problems

References

• Berger , A.E. , Solomon , J.M. and Ciment , M. 1980 . Uniformly accurate difference methods for a singular perturbation problem . Proc. Internat. Conf. on boundary and interior layers, computational and asymptotic methods . June 3-6 1980 , Dublin. Edited by: Miller , J.J . pp. 14 – 28 . Dublin : Boole Press . Trininty College, Dublin, Ireland
   Google Scholar
• Berger , A.E. , Solomon , J.M. , Ciment , M. , Leventhal , S.H. and Weinberg , B.C. 1980 . Generalized operator compact implicit schemes for boundary layer problems . Math. Comp , 35 ( 151 ) : 695 – 731 .
   Web of Science ®Google Scholar
• Berger , A.E. , Solomon , J.M. and Ciment , M. 1981 . An analysis of a uniformly accurate difference method for a singular perturbation problem . Math. Comp , 37 ( 155 ) : 79 – 94 .
   Web of Science ®Google Scholar
• Berger , A.E. 1986 . A conservative uniformly accurate difference method for a singular perturbation problem in conservation form . SIAM J. Numer. Anal , 23 ( 6 ) : 1241 – 1253 .
   Web of Science ®Google Scholar
• Doolan , E.P. , Miller , J.J.H. and Schilders , W.H.A. 1980 . Uniform Numerical Methods for Problems with Initial and Boundary Layers , Dublin, , Ireland : Boole Press .
   Google Scholar
• Ciment , M. and Leventhal , S.H. 1978 . A note on the operator compact implicit method for the wave Equation . Math. Comp , 32 ( 141 ) : 143 – 147 .
   Web of Science ®Google Scholar
• Ciment , M. , Leventhal , S.H. and Weinberg , B.C. 1978 . The operator compact implicit method for parabolic equations . J. Comp. Phys , 28 : 135 – 166 .
   Web of Science ®Google Scholar
• Philips , R.B. and Rose , M.E. 1982 . Compact finite difference schemes for mixed initial-boundary value Problems . SIAM J. Numer. Anal , 19 ( 4 ) : 698 – 720 .
   Web of Science ®Google Scholar
• Swartz , B.K. 1974 . “ The construction of finite difference analogs of some finite element schemes ” . In Mathematical Aspects of Finite Elements in Partial Differential Equations , Edited by: De boor , C. 279 – 312 . New York : Academic Press .
   Google Scholar