Study of Stability Criteria of Numerical Solution of Ordinary and Partial Differential Equations Using Euler’s and Finite Difference Scheme

Study of Stability Criteria of Numerical Solution of Ordinary and Partial Differential Equations Using Euler’s and Finite Difference Scheme

Year:    2022

Author:    Shiv Charan, Najmuddin Ahmad, Shiv Charan

Journal of Partial Differential Equations, Vol. 35 (2022), Iss. 3 : pp. 281–288

Abstract

In this paper we have discussed solution and stability analysis of ordinary and partial differential equation with boundary value problem. We investigated periodic stability in Euler’s scheme and also discussed PDEs by finite difference scheme. Numerical example has been discussed finding nature of stability. All given results are more accurate than existing methods.

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Journal Article Details

Publisher Name:    Global Science Press

Language:    English

DOI:    https://doi.org/10.4208/jpde.v35.n3.6

Journal of Partial Differential Equations, Vol. 35 (2022), Iss. 3 : pp. 281–288

Published online:    2022-01

AMS Subject Headings:   

Copyright:    COPYRIGHT: © Global Science Press

Pages:    8

Keywords:    Stability ordinary and partial differential equations Eulers and finite difference scheme.

Author Details

Shiv Charan

Najmuddin Ahmad

Shiv Charan