An efficient numerical method for the solution of third order boundary value problem in ordinary differential equations. (2018)

• Record Type: Journal Article
• Authors: Pandey, Pramod Kumar
• Is Part Of: International journal of computing science and mathematics. Volume 9:Number 2(2018)
• Page Start: 171
• Page End: 180
• Publication Date: 2018
• Subjects: boundary value problem -- difference method -- explicit inverse -- obstacle problems -- second order convergence -- third order differential equation; Mathematics -- Periodicals; Computer science -- Periodicals; Mathematics -- Data processing -- Periodicals; 510.285
• Languages: English
• ISSNs: 1752-5055

Abstract

In this article we have considered linear third order boundary value problems and proposed an efficient difference method for numerical solution of the problems. We have shown that proposed method is convergent and second order accurate. The numerical results in experiment on some test problems show the simplicity and efficiency of the method.