- 1 GOODMAN, T. R., AND LANCE, G. N. The numerical integration of two-point boundary value problems. Math. Tables Aids Comput. 10 (1956), 82-86.Google ScholarCross Ref
- 2 ROBERTS, S. M., AND SHIPMAN, J. S. The Kantorovich theorem and two point boundary value problems. IBM J. Res. Devel. 10 (1966), 402-406.Google ScholarDigital Library
- 3 TRAUB, J. F. Iterative Methods for the Solution of Equations. Prentice-Hall, Englewood Cliffs, N.J., 1964, Ch. 10.Google Scholar
- 4 ROBINSON, STEPHEN M. Interpolative solution of systems of nonlinear equations. SIAM J. Num. Anal. 8 (1966), 650-58.Google ScholarCross Ref
- 5 ANTOSIEWICZ, H. A. Newton's method and boundary value problems, d. Computer System Sciences 2 (1968), 177-202.Google ScholarDigital Library
- 6 HOUSEHolder, A. S. Unitary triangulariztion of a nonsymmetric matrix. J. ACM 5, 4 (1958), 339-342. Google ScholarDigital Library
- 7 HOUSEHOLDER, A. S. The Theory of Matrices in Numerical Analysis. Blaisdell, New York, 1964, p. 4.Google Scholar
- 8 KIMBLE, GERALD W. Computing with Newton's method. DRI Preprint Series no. 58, University of NevadG Reno, Nevada, 1968.Google Scholar
Index Terms
- A variation of the Goodman-Lance method for the solution of two-point boundary value problems
Recommendations
An initial-value technique to solve third-order reaction–diffusion singularly perturbed boundary-value problems
The aim of this paper is to build an efficient initial-value technique for solving a third-order reaction–diffusion singularly perturbed boundary-value problem. Using this technique, a third-order reaction–diffusion singularly perturbed boundary-value ...
B-Spline Collocation Method for Nonlinear Singularly-Perturbed Two-Point Boundary-Value Problems
A B-spline collocation method is presented for nonlinear singularly-perturbed boundary-value problems with mixed boundary conditions. The quasilinearization technique is used to linearize the original nonlinear singular perturbation problem into a ...
A smooth locally-analytical technique for singularly perturbed two-point boundary-value problems
A locally-analytical method for singularly perturbed two-point boundary-value problems with internal and boundary layers and with turning points is presented. The method is based on the linearization of ordinary differential equations in nonoverlapping ...
Comments