Volume No. :   6

Issue No. :  1

Year :  2015

ISSN Print :  0976-2973

ISSN Online :  2321-581X


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A class of the backward Euler’s method for initial value problems



Address:   Gurjinder Singh, V. Kanwar∗ and Saurabh Bhatia
University Institute of Engineering and Technology, Panjab University, Chandigarh 160 014, India
*Corresponding Author
DOI No: 10.5958/2321-581X.2015.00031.8

ABSTRACT:
In this paper, we propose a class of the backward Euler’s method for the numerical solution of initial value problems of ordinary differential equations. The proposed class is constructed by considering a suitable interpolating function. The accuracy and stability of the proposed class are considered. A comparison of numerical results obtained by some of the proposed methods and the existing classical backward Euler’s method is given which demonstrate that for the problems tested here the proposed methods outperform the existing classical method.
KEYWORDS:
Ordinary differential equations, Initial value problems, Stability, Interpolation. Mathematics Subject Classification (2010): 65 Lxx, 65 L05, 65 L20, 65 D05.
Cite:
Gurjinder Singh, V. Kanwar, Saurabh Bhatia. A class of the backward Euler’s method for initial value problems. Research J. Engineering and Tech. 6(1): Jan.-Mar. 2015 page 207-211.
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