IJPAM: Volume 120, No. 4 (2018)

Title

NEW NUMERICAL METHOD FOR
SOLVING DIFFERENTIAL EQUATIONS

Authors

R.M. Dhaigude$^1$, R.K. Devkate$^2$
$^1$P.G. Department of Mathematics
Government Vidarbha Institute of Science and Humanities
Amravati, 444 604 (M.S.), INDIA
$^2$Department of Mathematics
Dr. Babasaheb Ambedkar Marathwada University
Aurangabad, 431 004 (M.S.), INDIA

Abstract

In this paper, we introduce a new numerical method for solving ordinary differential equations in both linear and non linear cases. We apply new iterative method (NIM) on implicit midpoint rule to derive a new numerical method. We further present the error, convergence and stability analysis of the proposed method. The efficiency of the new method is tested through various types of numerical problems and it shows that the results are be the same as with exact solutions.

History

Received: July 14, 2017
Revised: August 5, 2019
Published: August 5, 2019

AMS Classification, Key Words

AMS Subject Classification: 65L04, 65L05, 34G20, 65L20
Key Words and Phrases: new iterative method (NIM), ordinary differential equations, implicit midpoint formula, error analysis, stability, convergence

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How to Cite?

DOI: 10.12732/ijpam.v120i4.13 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: 2018
Volume: 120
Issue: 4
Pages: 639 - 655


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