A Subdivision Based Iterative Collocation Algorithm for Nonlinear Third-Order Boundary Value Problems-Reference-Cited by-同舟云学术

A Subdivision Based Iterative Collocation Algorithm for Nonlinear Third-Order Boundary Value Problems

Published:2016 Issue: Volume:2016 Page:1-14
ISSN:1687-9120
Container-title:Advances in Mathematical Physics
language:en
Short-container-title:Advances in Mathematical Physics

Author:

Ejaz Syeda Tehmina¹^ORCID,Mustafa Ghulam¹^ORCID

Affiliation:

1. Department of Mathematics, The Islamia University of Bahawalpur, Punjab 63100, Pakistan

Abstract

We construct an algorithm for the numerical solution of nonlinear third-order boundary value problems. This algorithm is based on eight-point binary subdivision scheme. Proposed algorithm is stable and convergent and gives more accurate results than fourth-degree B-spline algorithm.

Funder

NRPU

Publisher

Hindawi Limited

Subject

Applied Mathematics,General Physics and Astronomy

Link

http://downloads.hindawi.com/journals/amp/2016/5026504.pdf

Reference18 articles.

1. A new modification of the Adomian decomposition method for solving boundary value problems for higher order nonlinear differential equations

2. The numerical solution of third-order boundary-value problems with fourth-degree &B-spline functions

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