Implementation of 2-point 2-step methods for the solution of first order ODEs

S. Mehrkanoon; Z. A. Majid; M. Suleiman

Implementation of 2-point 2-step methods for the solution of first order ODEs

S. Mehrkanoon^*
, Z. A. Majid
, M. Suleiman

^*Corresponding author for this work

Sub Algorithmic Data Analysis

Universiti Putra Malaysia

Research output: Contribution to journal › Article › Academic › peer-review

Abstract

In this paper the 2 point 2 step methods (2PG, M2PG, M2PF) for solving system of first order ordinary differential equations are proposed. These methods at each step will approximate the solutions of initial value problems at two points simultaneously using variable step size. In addition, the stability of the proposed method are discussed. Examples are presented to illustrate the computational aspect of these methods.

Original language	English
Pages (from-to)	305-316
Number of pages	12
Journal	Applied Mathematical Sciences
Volume	4
Issue number	5-8
Publication status	Published - 2010

Keywords

Block methods
Numerical results
Ordinary differential equation

Cite this

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title = "Implementation of 2-point 2-step methods for the solution of first order ODEs",

abstract = "In this paper the 2 point 2 step methods (2PG, M2PG, M2PF) for solving system of first order ordinary differential equations are proposed. These methods at each step will approximate the solutions of initial value problems at two points simultaneously using variable step size. In addition, the stability of the proposed method are discussed. Examples are presented to illustrate the computational aspect of these methods.",

keywords = "Block methods, Numerical results, Ordinary differential equation",

author = "S. Mehrkanoon and Majid, \{Z. A.\} and M. Suleiman",

year = "2010",

language = "English",

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journal = "Applied Mathematical Sciences",

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TY - JOUR

T1 - Implementation of 2-point 2-step methods for the solution of first order ODEs

AU - Mehrkanoon, S.

AU - Majid, Z. A.

AU - Suleiman, M.

PY - 2010

Y1 - 2010

N2 - In this paper the 2 point 2 step methods (2PG, M2PG, M2PF) for solving system of first order ordinary differential equations are proposed. These methods at each step will approximate the solutions of initial value problems at two points simultaneously using variable step size. In addition, the stability of the proposed method are discussed. Examples are presented to illustrate the computational aspect of these methods.

AB - In this paper the 2 point 2 step methods (2PG, M2PG, M2PF) for solving system of first order ordinary differential equations are proposed. These methods at each step will approximate the solutions of initial value problems at two points simultaneously using variable step size. In addition, the stability of the proposed method are discussed. Examples are presented to illustrate the computational aspect of these methods.

KW - Block methods

KW - Numerical results

KW - Ordinary differential equation

UR - https://www.scopus.com/pages/publications/77950950409

M3 - Article

AN - SCOPUS:77950950409

SN - 1312-885X

SN - 1314-7552

VL - 4

SP - 305

EP - 316

JO - Applied Mathematical Sciences

JF - Applied Mathematical Sciences

IS - 5-8

ER -

Implementation of 2-point 2-step methods for the solution of first order ODEs

Abstract

Keywords

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