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| Titel: |
A SOLUTION METHOD FOR A CLASS OF NONLINEAR BOUNDARY VALUE PROBLEMS |
| Auteur: |
Do, Duong D. Bailey, James E. |
| Verschenen in: |
Chemical engineering communications |
| Paginering: | Jaargang 43 (1986) nr. 1-3 pagina's 1-23 |
| Jaar: |
1986-04-01 |
| Inhoud: |
An approximation formula for finite Sturm-Liouville integral transforms of nonlinear functions allows determination of approximate analytical solutions to a certain class of nonlinear boundary value problems. The proposed method is extremely powerful in analysis of a variety of chemical engineering models. The influence of the degree of nonlinearity of the nonlinear term on results obtained using the approximate transform formula is investigated numerically. An iterative procedure in transform space is described for improving solution accuracy, and fast convergence is observed in three illustrative examples. The technique yields solutions which can be related to bounds on the exact solution derived by Kalaba. The asymptotic solution for the mode error, which is the error in approximating the nonlinear function in transform space, is obtained analytically. |
| Uitgever: |
Taylor & Francis |
| Bronbestand: |
Elektronische Wetenschappelijke Tijdschriften |
Details van artikel 2 van 11 gevonden artikelen
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