Variable-mesh difference scheme for singularly-perturbed boundary-value problems using splines

Journal of Optimization Theory and Applications

Volumn 90, Issue 2, 1996, Pages 405-416

  Kadalbajoo, M K ^a   Bawa, R K ^b  

^a INDIAN INSTITUTE OF TECHNOLOGY KANPUR   (India)

^b SANT LONGOWAL INSTITUTE OF ENGINEERING AND TECHNOLOGY   (India)

Author keywords

Cubic splines; Quadratic convergence; Singularly perturbed boundary value problems; Variable mesh difference schemes

Indexed keywords

BOUNDARY VALUE PROBLEMS; INTERPOLATION; PERTURBATION TECHNIQUES;

CONVERGENCE ANALYSIS; CUBIC SPLINE; QUADRATIC CONVERGENCE; SECOND ORDERS; SINGULARLY PERTURBED BOUNDARY VALUE PROBLEMS; TEST EXAMPLES; VARIABLE-MESH DIFFERENCE SCHEME;

MESH GENERATION;

EID: 0030501331     PISSN: 00223239     EISSN: None     Source Type: Journal    
DOI: 10.1007/BF02190005     Document Type: Article

References (6)

1. ASCHER, U. M., MATTHEIJ, R. M. M., and RUSSELL, R. D., Numerical Solutions of Boundary-Value Problems for Ordinary Differential Equations, Prentice Hall, Englewood Cliffs, New Jersey, 1988.
2. BICKLEY, W. G., Piecewise Cubic Interpolation and Two-Point Boundary-Value Problems, Computer Journal, Vol. 11, pp. 206-208, 1968.
3. AHLBERG, J. M., NILSON, E. N., and WALSH, J. L., The Theory of Splines and Their Applications, Academic Press, New York, New York, 1967.
4. DOOLAN, E. P., MILLER, J. J. H., and SCHILDERS, W. H. A., Uniform Numerical Methods for Problems with Initial and Boundary Layers, Boole Press, Dublin, Ireland, 1980,
5. JAIN, M. K., IYENGER, S. R. K., and SUBRAMANYAN, G. S., Variable Mesh Methods for the Numerical Solution of TPSPPs, Computer Methods in Applied Mechanics and Engineering, Vol. 42, pp. 273-286, 1984.
6. REINDHARDT, H. J., Singular Perturbations of Difference Methods for Linear Ordinary Differential Equations, Applicable Analysis, Vol. 10, pp. 53-71, 1980.