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Solution of differential algebraic equations via semi-analytic method
- Source :
- Ain Shams Engineering Journal. (2):119-124
- Publisher :
- Production and hosting by Elsevier B.V.
-
Abstract
- Differential algebraic equations arise in many applications. In this paper, the homotopy perturbation method is applied to solve differential algebraic equations. In this method, the solution is found in the form of a convergent series and usually converges to the exact solution. In addition, the terms of the series can be computed easily. A few examples are presented to illustrate the method. The results show the simplicity and efficiency of the proposed method.
- Subjects :
- Differential algebraic equations
Convergent series
Algebraic solution
Mathematical analysis
General Engineering
Examples of differential equations
Collocation method
ComputingMethodologies_SYMBOLICANDALGEBRAICMANIPULATION
Differential algebraic geometry
Homotopy perturbation method
Maclaurin’s expansion
Differential algebraic equation
Homotopy analysis method
Ordinary differential equations
Mathematics
Algebraic differential equation
Numerical partial differential equations
Subjects
Details
- Language :
- English
- ISSN :
- 20904479
- Issue :
- 2
- Database :
- OpenAIRE
- Journal :
- Ain Shams Engineering Journal
- Accession number :
- edsair.doi.dedup.....ab6dd2377313070a92f08c1b48eae059
- Full Text :
- https://doi.org/10.1016/j.asej.2011.07.004