NUMERICAL METHOD FOR THE SOLUTION OF NONLINEAR BOUNDARY-VALUE PROBLEMS
Habib, H., El-Farrash, M., Basiouny, M. (2001). NUMERICAL METHOD FOR THE SOLUTION OF NONLINEAR BOUNDARY-VALUE PROBLEMS. EKB Journal Management System, 24(2), 55-67. doi: 10.21608/erjm.2001.71013
Hamza M. Habib; Mohamed Magdy M. El-Farrash; Mohamady A. Basiouny. "NUMERICAL METHOD FOR THE SOLUTION OF NONLINEAR BOUNDARY-VALUE PROBLEMS". EKB Journal Management System, 24, 2, 2001, 55-67. doi: 10.21608/erjm.2001.71013
Habib, H., El-Farrash, M., Basiouny, M. (2001). 'NUMERICAL METHOD FOR THE SOLUTION OF NONLINEAR BOUNDARY-VALUE PROBLEMS', EKB Journal Management System, 24(2), pp. 55-67. doi: 10.21608/erjm.2001.71013
Habib, H., El-Farrash, M., Basiouny, M. NUMERICAL METHOD FOR THE SOLUTION OF NONLINEAR BOUNDARY-VALUE PROBLEMS. EKB Journal Management System, 2001; 24(2): 55-67. doi: 10.21608/erjm.2001.71013

NUMERICAL METHOD FOR THE SOLUTION OF NONLINEAR BOUNDARY-VALUE PROBLEMS

ERJ. Engineering Research Journal
Article 4, Volume 24, Issue 2, April 2001, Pages 55-67    PDF (258.22 K)
Document Type: Original Article
DOI: 10.21608/erjm.2001.71013
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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