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