Two-Parameter Singular Perturbation Boundary Value Problems Via Quintic B-Spline Method

2022 ◽  
Author(s):  
Hradyesh Kumar Mishra ◽  
Ram Kishun Lodhi
Keyword(s):  
Singular Perturbation ◽  
Boundary Value Problems ◽  
Boundary Value ◽  
Spline Method ◽  
B Spline ◽  
Two Parameter

scholarly journals Extended cubic B-spline method for solving a linear system of second-order boundary value problems

SpringerPlus ◽  
2016 ◽  
Vol 5 (1) ◽  
Author(s):  
Ahmed Salem Heilat ◽  
Nur Nadiah Abd Hamid ◽  
Ahmad Izani Md. Ismail
Keyword(s):  
Linear System ◽  
Boundary Value Problems ◽  
Boundary Value ◽  
Second Order ◽  
Spline Method ◽  
B Spline

scholarly journals Cubic Hermite Collocation Method for Solving Boundary Value Problems with Dirichlet, Neumann, and Robin Conditions

2014 ◽  
Vol 2014 ◽  
pp. 1-8 ◽  
Author(s):  
Ishfaq Ahmad Ganaie ◽  
Shelly Arora ◽  
V. K. Kukreja
Keyword(s):  
Boundary Value Problems ◽  
Collocation Method ◽  
Nonlinear Boundary ◽  
Boundary Value ◽  
Spline Method ◽  
Orthogonal Collocation ◽  
Nonlinear Boundary Value Problems ◽  
B Spline ◽  
Linear And Nonlinear ◽  
Volume Method

Cubic Hermite collocation method is proposed to solve two point linear and nonlinear boundary value problems subject to Dirichlet, Neumann, and Robin conditions. Using several examples, it is shown that the scheme achieves the order of convergence as four, which is superior to various well known methods like finite difference method, finite volume method, orthogonal collocation method, and polynomial and nonpolynomial splines and B-spline method. Numerical results for both linear and nonlinear cases are presented to demonstrate the effectiveness of the scheme.

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