A semi-analytical iterative technique for solving nonlinear problems

A semi-analytical iterative technique for solving nonlinear problems

We present a semi-analytical iterative method for solving nonlinear differential equations. To demonstrate the working of the method we consider some nonlinear ordinary differential equations with appropriate initial/boundary conditions. In each of the examples we demonstrate the accuracy and conver...

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Veröffentlicht in:Computers & mathematics with applications (1987) 2011, Vol.61 (2), p.203-210
Hauptverfasser: Temimi, H., Ansari, A.R.
Format: Artikel
Sprache:eng
Schlagworte:
Accuracy
Boundary conditions
Convergence
Differential equations
Iterative methods
Iterative procedure
Mathematical analysis
Mathematical models
Nonlinear problems
Nonlinearity
Semi-analytical
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Zusammenfassung:We present a semi-analytical iterative method for solving nonlinear differential equations. To demonstrate the working of the method we consider some nonlinear ordinary differential equations with appropriate initial/boundary conditions. In each of the examples we demonstrate the accuracy and convergence of the method to the solution. We demonstrate clearly that the method is accurate, fast and has a high order of convergence.
ISSN:0898-1221
1873-7668
DOI:10.1016/j.camwa.2010.10.042