a b s t r a c t Second order boundary value problems are solved by means of exponentially-fitted Numerov methods. These methods, which depend on a parameter, can be constructed following a six-step flow chart of Ixaru and Vanden Berghe [L. Gr. Ixaru, G. Vanden Berghe, Exponential Fitting, Kluwer Aca
β¦ LIBER β¦
Numerov's method for strongly nonlinear two-point boundary value problems
β Scribed by Yuan-Ming Wang
- Publisher
- Elsevier Science
- Year
- 2003
- Tongue
- English
- Weight
- 372 KB
- Volume
- 45
- Category
- Article
- ISSN
- 0898-1221
No coin nor oath required. For personal study only.
β¦ Synopsis
By in proper transformation, a class of strongly nonlinear two-point boundary value problems are transformed into semilinear problems so that the well-known Numerov's method can be applied. Some applications and numerical results are presented to demonstrate the efficiency of the approach.
π SIMILAR VOLUMES
The optimal exponentially-fitted Numerov
β
D. Hollevoet; M. Van Daele; G. Vanden Berghe
π
Article
π
2009
π
Elsevier Science
π
English
β 889 KB
A nonlinear shooting method for two-poin
β
Sung N. Ha
π
Article
π
2001
π
Elsevier Science
π
English
β 580 KB
We study a new nonlinear shooting method for solving two-point boundary value problems and show numerical experiments with various initial velocity conditions. We discuss and analyze the numerical solutions which are obtained by the shooting method.
Modified quasilinearization method for s
β
A. Miele; R.R. Iyer
π
Article
π
1971
π
Elsevier Science
π
English
β 851 KB
Numerical experiments using Sukhanov's i
β
H. Kagiwada; R. Kalaba; N. Rasakhoo; K. Spingarn
π
Article
π
1984
π
Elsevier Science
π
English
β 248 KB
Numerical experiments using Sukhanov's i
β
H. Kagiwada; R. Kalaba; N. Rasakhoo; K. Spingarn
π
Article
π
1984
π
Elsevier Science
π
English
β 491 KB
Numerical experiments using Sukhanov's i
β
H. Kagiwada; R. Kalaba; N. Rasakhoo; K. Spingarn
π
Article
π
1985
π
Elsevier Science
π
English
β 494 KB