On a numerical method for discrete analogues of boundary value problems

Nonlinear Analysis, Theory, Methods and Applications

Volumn 30, Issue 1, 1997, Pages 9-15

  Herceg, Dragoslav ^a   Krejić, Nataša ^a  

^a UNIVERSITY OF NOVI SAD   (Serbia)

Author keywords

Boundary value problems; Newton's method; Singular perturbation

Indexed keywords

EID: 0010001030     PISSN: 0362546X     EISSN: None     Source Type: Journal    
DOI: 10.1016/S0362-546X(97)00401-X     Document Type: Article

References (13)

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7. HERCEG, D., Uniform Fourth Order Difference Scheme for a Singular Perturbation Problem, Numer. Mat. 56 (1990), 675-693.
8. LORENZ, J., Zur Theorie und Numerik von Differenzverfahren für singülare Störungen, Habilitationsschrift, Konstanz, 1980.
9. ORTEGA, J.M., RHEIBOLDT, W.C., Iterative solution of nonlinear equations in several variables, 1st Ed. New York, London, Academic Press 1970.
10. PEARSON, C.E., On a differential equation of boundary layer type, J. Math. Phys. 47 (1968), 134-154.
11. SMITH, D.R., Singular perurbation theory, Cambridge University Press 1985.
12. VULANOVIĆ, R., On numerical solution of a type of singularly perturbed boundary value problems by using a special discretization mesh, Univ. u Novom Sadu, Zb. Rod. Prirod.-Mat. Fak. Ser. Mat. 13 (1983), 187-201.
13. VULANOVIĆ, R., Mesh construction for discretization of singularly perturbed boundary value problems, Ph.D. Thesis, Faculty of Science, University of Novi Sad, 1986.