TO THE MEMORY OF PASQUALE PORCELLI A successive approximation process for a class of nth order nonlinear partial differential equations on EV,, is given. Analytic solutions are found by iteration. The pairing between initial estimates and limiting functions forms a basis for the study of boundary co
An optimization method for solving some differential algebraic equations
โ Scribed by M.A. El-Khateb; H.S. Hussien
- Publisher
- Elsevier Science
- Year
- 2009
- Tongue
- English
- Weight
- 199 KB
- Volume
- 14
- Category
- Article
- ISSN
- 1007-5704
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โฆ Synopsis
a b s t r a c t
In this paper, the problem of differential algebraic equations has been solved via Chebyshev integral method combined with an optimization method. Two approaches are used based on the index of the problem: in the first, the proposed method is applied on the original problem and in the second, the index of the problem is decreased and the modified problem is solved. An optimization technique is proposed to solve the resulting algebraic equations. Numerical results are included to confirm the efficiency and accuracy of the method.
๐ SIMILAR VOLUMES
## Communicated by E. Y. Rodin AImraet--A study of Rosenbrock-Wanner (ROW) methods showed that they are not AN-stable. A second-order improved ROW-method, which is AN-stable and with local error estimate is presented with some numerical results.
When the s-stage fully implicit Runge}Kutta (RK) method is used to solve a system of n ordinary di!erential equations (ODE) the resulting algebraic system has a dimension ns. Its solution by Gauss elimination is expensive and requires 2sn/3 operations. In this paper we present an e$cient algorithm,