An efficient numerical method based on exponential B‐spline basis functions for solving a class of nonlinear singular boundary value problems with Neumann and Robin boundary conditions

2020 ◽  
Author(s):  
Pradip Roul ◽  
Trishna Kumari ◽  
VMK Prasad Goura
Keyword(s):  
Boundary Conditions ◽  
Boundary Value Problems ◽  
Numerical Method ◽  
Basis Functions ◽  
Robin Boundary Conditions ◽  
Singular Boundary ◽  
Singular Boundary Value Problems ◽  
B Spline ◽  
Spline Basis ◽  
Robin Boundary

scholarly journals A Galerkin method ofO(h2)for singular boundary value problems

2002 ◽  
Vol 29 (6) ◽  
pp. 361-369
Author(s):  
G. K. Beg ◽  
M. A. El-Gebeily
Keyword(s):  
Galerkin Method ◽  
Boundary Value Problems ◽  
Boundary Value ◽  
Basis Functions ◽  
Singular Boundary ◽  
Point Boundary ◽  
Singular Boundary Value Problems ◽  
Special Basis

We describe a Galerkin method with special basis functions for a class of singular two-point boundary value problems. The convergence is shown which is ofO(h2)for a certain subclass of the problems.

A Note on the Uniqueness of Positive Solutions for Singular Boundary Value Problems

2011 ◽  
Vol 2 (3) ◽  
pp. 43-50
Author(s):  
Fu-Hsiang Wong ◽  
Sheng-Ping Wang ◽  
Hsiang-Feng Hong
Keyword(s):  
Boundary Conditions ◽  
Boundary Value Problems ◽  
Positive Solution ◽  
Positive Solutions ◽  
Boundary Value ◽  
Uniqueness Theorems ◽  
Singular Boundary ◽  
Sufficient Condition ◽  
Singular Boundary Value Problems

In this paper, the authors examine sufficient condition for the uniqueness of positive solutions of singular Strum-Liouville boundary value problems. The authors use the uniqueness theorems of (E) with respect to the boundary conditions to show that the boundary value problems have one positive solution.

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