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Research Article Open access CC BY 4.0

A Class of Linear Multi-step Method for Direct Solution of Second Order Initial Value Problems in Ordinary Differential Equations by Collocation Method

N. S. Yakusak, A. O. Owolanke

Journal of Advances in Mathematics and Computer Science · pp. 1–11 · Published 15 Jan 2018

10.9734/JAMCS/2018/34424

Abstract

In this work, we proposed a linear multi-step method for solution of second order Initial Value Problems (IVP), using power series function as the trail solution for the approximation via collocation techniques. The resulting scheme is self-starting, consistent, zero-stable, convergent with good region of absolute stability. Numerical and graphical results are presented tabularly.

Block methods convergent collocation initial value problem.

Cited by 3

Hybrid Falkner - Type Block Methods for Solution of Second Order Boundary Value Problems

Yakusak N.S., Adeniyi R.B. · African Journal of Mathematics and Statistics Studies · 2022

DEVELOPMENT OF A CONTINUOUS BACKWARD DIFFERENTIATION FORMULAE FOR SOLVING FIRST-ORDER AND SECOND-ORDER INITIAL VALUE PROBLEM

Muritala Yahaya, Abdulkadir Abubakar, Yusuf Dauda Jikantoro · FUDMA JOURNAL OF SCIENCES · 2025

Numerical Solution of First and Higher Order IVPs Via a Single Continuous Block Method

Jamiu Garba, Khadeejah James Audu, Umaru Mohammed · Scientific Journal of Mehmet Akif Ersoy University · 2025

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