- Berger , A. E. , Solomon , J. M. and Clement , M. 1981 . An analysis of a uniformly accurate difference method for a singular perturbation problem . Math. Comp. , 37 : 79 – 94 .
- Chin , R. C. and Krasny , R. 1983 . A hybrid asymptotic finite element method for stiff two-point boundary value problems . SIAMJ. Sci. Slat. Comput. , 4 (2} ) : 229 – 243 .
- Doolan , E. P. , Miller , J. J. H. and Schilders , W. H. A. 1980 . Uniform Numerical Methods for Problems with Initial and Boundary Layers , Dublin : Boole Press .
- Flaheity , J. E. and Mathon , W. 1980 . Collocation with polynomial and tension splines for singularly-perturbed boundary value problems . SIAMJ. Sci. Stat. Comput. , 1 (2} ) : 260 – 289 .
- Jain , M K. 1979 . Spline function approximation in discrete mechanics . Int. J. Non-linear Mechanics , 14 : 341 – 345 .
- Jain , M. K. and Aziz , T. 1983 . Numerical solution of stiff and conviction diffusion equations using adaptive spline function approximation . Appl. Math. Modelling , 7 : 57 – 62 .
- Kellogg , R. B. and Tsan , A. 1978 . Analysis of Some difference approximations for a singular perturbation problem without turning points . Math. Comp. , 32 : 1025 – 1039 .
- Kevorkian , J. and Cole , J. D. 1996 . Multiple Scale and Singular Perturbation Methods , New York : Springer-Verlag .
- Miller , J. J. H. , O'Riordan , E. and Shishkin , G. I. 1996 . Fitted Numerical Methods for Singular Perturbation Problems , Singapore : World Scientific .
- Sakai , M. and Usmani , R. A. 1989 . A class of simple exponential b-splines and their applications to numerical solution to singular perturbation problems . Numer. Math. , 55 : 493 – 500 .
- Stojanovic , M. 1987 . A first order accuracy scheme on non-uniform mesh . Publications de L'Institut Mathematique , 42 (56} ) : 155 – 165 .
- Stojanovic , M. 1987 . A uniformly convergent quadratic spline difference scheme for singular perturbation problems . Mat -- Vesnik , 39 (4} ) : 463 – 473 .
- Stynes , M. and O'Riordan , E. 1986 . A finite element method for a singularly perturbed boundary value problem . Numer. Math. , 50 : 1 – 15 .
- Suria , K. and Jerkovic , Vladimir . Analysis of an exponentially fitted spline collocation method for a singular perturbation problem . Fifth Conference on Applied Mathematics . Ljubljana. pp. 153 – 159 .
- Suria , K. and Uzelac , Z. 1988 . Sufficient conditions for uniform convergence of a class of spline difference schemes for singularly perturbed problems . Publications de L'Institut Mathematique , 44 (58} ) : 127 – 43 .
Variable Mesh Spline In Compression For The Numerical Solution Of Singular Perturbation Problems
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