In the study of transverse vibrations of a hinged beam there arises a boundary value problem for fourth order ordinary differential equation, where a significant difficulty lies in a nonlinear term under integral sign. In recent years several authors considered finite approximation of the problem an
β¦ LIBER β¦
Iterative methods for a fourth order boundary value problem
β Scribed by Ravi P. Agarwal; Y.M. Chow
- Book ID
- 107987732
- Publisher
- Elsevier Science
- Year
- 1984
- Tongue
- English
- Weight
- 621 KB
- Volume
- 10
- Category
- Article
- ISSN
- 0377-0427
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We consider a second-order nonlinear ordinary di erential equation of the form y = 1 q xy q ; 06x Β‘ 1 where q Β‘ 0, with the boundary conditions This problem arises in boundary layer equations for the ow of a power-law uid over an impermeable, semi-inΓΏnite at plane. We show that classical iterative