scholarly journals A smooth approximation for non-linear second order boundary value problems using composite non-polynomial spline functions

2020 ◽  
Vol 65 (3) ◽  
pp. 453-470
Author(s):  
Anju Chaurasia ◽  
◽  
Yogesh Gupta ◽  
Prakash C. Srivastava ◽  
◽  
...  
Keyword(s):  
Boundary Value Problems ◽  
Boundary Value ◽  
Polynomial Spline ◽  
Second Order ◽  
Spline Functions ◽  
Smooth Approximation ◽  
Non Linear

scholarly journals A Neuro-Swarming Intelligence-Based Computing for Second Order Singular Periodic Non-linear Boundary Value Problems

2020 ◽  
Vol 8 ◽  
Author(s):  
Zulqurnain Sabir ◽  
Muhammad Asif Zahoor Raja ◽  
Juan L. G. Guirao ◽  
Muhammad Shoaib
Keyword(s):  
Boundary Value Problems ◽  
Boundary Value ◽  
Second Order ◽  
Linear Boundary ◽  
Non Linear

A Block Hybrid Method for Non-linear Second Order Boundary Value Problems

2019 ◽  
Vol 16 (1) ◽  
Author(s):  
Francesco Aldo Costabile ◽  
Rosanna Caira ◽  
Maria Italia Gualtieri
Keyword(s):  
Boundary Value Problems ◽  
Hybrid Method ◽  
Boundary Value ◽  
Second Order ◽  
Non Linear

Quadratic non-polynomial spline approach to the solution of a system of second-order boundary-value problems

2006 ◽  
Vol 179 (1) ◽  
pp. 153-160 ◽  
Author(s):  
Siraj-ul-Islam ◽  
Muhammad Aslam Noor ◽  
Ikram A. Tirmizi ◽  
Muhammad Azam Khan
Keyword(s):  
Boundary Value Problems ◽  
Boundary Value ◽  
Polynomial Spline ◽  
Second Order

scholarly journals Spline Methods for a Class of Singularly Perturbed Boundary Value Problems

2013 ◽  
Vol 2 (1) ◽  
pp. 1-10
Author(s):  
O.M Ogunlaran ◽  
O.A Taiwo
Keyword(s):  
Numerical Methods ◽  
Boundary Value Problems ◽  
Fourth Order ◽  
Spline Function ◽  
Boundary Value ◽  
Polynomial Spline ◽  
Second Order ◽  
Singularly Perturbed ◽  
Uniform Grid ◽  
Numerical Examples

In this paper, we develop numerical methods based on a non-polynomial spline function with uniform grid for solving certain class of singularly perturbed boundary value problems. The proposed methods are second-order and fourth-order accurate. Numerical examples are provided to demonstrate the efficiency of the proposed methods.

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