NUMERICAL METHOD FOR THE SOLUTION OF NONLINEAR BOUNDARY-VALUE PROBLEMS | ||||
| ERJ. Engineering Research Journal | ||||
| Article 4, Volume 24, Issue 2, April 2001, Page 55-67 PDF (258.22 K) | ||||
| Document Type: Original Article | ||||
| DOI: 10.21608/erjm.2001.71013 | ||||
 View on SCiNiTO | ||||
| Authors | ||||
| Hamza M. Habib; Mohamed Magdy M. El-Farrash; Mohamady A. Basiouny | ||||
| Department of Basic Engineering Sciences El-Menoufia University Shebin El-Kom, Egypt , | ||||
| Abstract | ||||
| A simple, efficient numerical solution method for nonlinear boundary value problems is presented. The approach depends on linearizing the finite-differenced equations for the dependent variables then solving the correction equation for the dependent variable by the tri-diagonal matrix method, finally correcting the solution at each iteration. The method is somewhat similar to Newton's method in that the Jacobian is evaluated at each iteration, | ||||
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