An AN-stable Rosenbrock-type method for solving stiff differential equations
โ Scribed by H. Zedan
- Publisher
- Elsevier Science
- Year
- 1987
- Tongue
- English
- Weight
- 202 KB
- Volume
- 13
- Category
- Article
- ISSN
- 0898-1221
No coin nor oath required. For personal study only.
โฆ Synopsis
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.
๐ SIMILAR VOLUMES
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,
Based on the idea of quasi-interpolation and radial basis functions approximation, a numerical method is developed to quasi-interpolate the forcing term of di erential equations by using radial basis functions. A highly accurate approximation for the solution can then be obtained by solving the corr
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
## 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 i