Generalized quasilinearization method for second-order boundary value problems

Nonlinear Analysis, Theory, Methods and Applications

Volumn 36, Issue 6, 1999, Pages 799-806

  Mohapatra, R N ^a   Vajravelu, K ^a   Yin, Y ^b  

^a UNIVERSITY OF CENTRAL FLORIDA   (United States)

^b FLORIDA INSTITUTE OF TECHNOLOGY   (United States)

Author keywords

[No Author keywords available]

Indexed keywords

CONVERGENCE OF NUMERICAL METHODS; LINEARIZATION; PROBLEM SOLVING; THEOREM PROVING;

GENERALIZED QUASILINEARIZATION METHOD; PERIODIC BOUNDARY VALUE PROBLEM (PBVP);

BOUNDARY VALUE PROBLEMS;

EID: 0033148921     PISSN: 0362546X     EISSN: None     Source Type: Journal    
DOI: 10.1016/S0362-546X(98)00131-X     Document Type: Article

References (8)

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2. G.S. Ladde, V. Lakshmikantham, A.S. Vatsala, Monotone Iterative Techniques for Nonlinear Differential Equations, Pittman, Boston, 1985.
3. V. Lakshmikantham, Periodic boundary value problems of first and second order differential equations, Journal of Applied Mathematics and Simulations 2 (1989) 131-138.
4. V. Lakshmikantham, N. Shahzad, Method of quasilinearization for general second order boundary value problems, Nonlinear World 2 (1995) 233-246.
5. S. Malek, A.S. Vatsala, Method of generalized quasilinearization for second order boundary value problem, Inequalities and Applications 3 (1994) 449-457.
6. R.N. Mohapatra, K. Vajravelu, Y. Yin, Extension of the method of quasilinearization and rapid convergence, Journal of Optimization Theory and Applications 96 (1998) 667-682.
7. R.N. Mohapatra, K. Vajravelu, Y. Yin, Cubic and quartic convergence for first order periodic boundary value problems, for first order initial value problems, Journal of Optimization Theory and Applications, in press.
8. N. Shahzad, A.S. Vatsala, Improved generalized quasilinearization method for second order boundary value problem, Dynamic Systems and Applications 4 (1995) 79-86.