Numerical solutions for some coupled systems of nonlinear boundary value problems

1987 ◽  
Vol 51 (4) ◽  
pp. 381-394 ◽  
Author(s):  
C. V. Pao
Keyword(s):  
Boundary Value Problems ◽  
Nonlinear Boundary ◽  
Numerical Solutions ◽  
Boundary Value ◽  
Coupled Systems ◽  
Nonlinear Boundary Value Problems ◽  
Nonlinear Boundary Value

scholarly journals Modified Sinc-Galerkin Method for Nonlinear Boundary Value Problems

2013 ◽  
Vol 2013 ◽  
pp. 1-10
Author(s):  
M. A. Hajji ◽  
Q. M. Al-Mdallal
Keyword(s):  
Galerkin Method ◽  
Boundary Value Problems ◽  
Nonlinear Boundary ◽  
Numerical Solutions ◽  
Boundary Value ◽  
Basis Functions ◽  
Accurate Approximation ◽  
Nonlinear Boundary Value Problems ◽  
Thomas Fermi ◽  
Nonlinear Boundary Value

This paper presents a modified Galerkin method based on sinc basis functions to numerically solve nonlinear boundary value problems. The modifications allow for the accurate approximation of the solution with accurate derivatives at the endpoints. The algorithm is applied to well-known problems: Bratu and Thomas-Fermi problems. Numerical results demonstrate the clear advantage of the suggested modifications in obtaining accurate numerical solutions as well as accurate derivatives at the endpoints.

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