# Title

A FAMILY OF HIGH-ORDER MULTIPLE FINITE
DIFFERENCE METHODS FOR THE DIRECT SOLUTION OF
THE GENERAL SECOND-ORDER INITIAL VALUE PROBLEM

# Authors

M.G. Orakwelu, S.S. Motsa
School of Mathematics
Statistics and Computer Science
University of KwaZulu-Natal
Private Bag X01, Scottsville, 3209, Pietermaritzburg, SOUTH AFRICA

# Abstract

We derive high-order multiple finite difference methods by an approach based on a combination of interpolation and collocation of an approximate solution at selected interpolation and collocation nodes. Their stability properties are provided.

# History

Revised: November 21, 2016
Published: January 26, 2017

# AMS Classification, Key Words

AMS Subject Classification: 65D05, 65L05, 65L06, 65L12, 65L20
Key Words and Phrases: collocation, initial value problem, interpolation, matrix inversion, multiple finite difference method, stability

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# How to Cite?

DOI: 10.12732/ijpam.v112i1.1 How to cite this paper?

Source:
International Journal of Pure and Applied Mathematics
ISSN printed version: 1311-8080
ISSN on-line version: 1314-3395
Year: 2017
Volume: 112
Issue: 1
Pages: 1 - 25