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Volume 35, Issue 3
Study of Stability Criteria of Numerical Solution of Ordinary and Partial Differential Equations Using Euler’s and Finite Difference Scheme

Najmuddin Ahmad & Shiv Charan

DOI: 10.4208/jpde.v35.n3.6

J. Part. Diff. Eq., 35 (2022), pp. 281-288.

Published online: 2022-06

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  • 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.

  • Keywords

Stability, ordinary and partial differential equations, Eulers and finite difference scheme.

  • AMS Subject Headings

65L20

  • Copyright

COPYRIGHT: © Global Science Press

  • Email address

najmuddinahmad33@gmail.com (Najmuddin Ahmad)

  • BibTex
  • RIS
  • TXT
@Article{JPDE-35-281, author = {Ahmad , Najmuddin and Charan , Shiv}, title = {Study of Stability Criteria of Numerical Solution of Ordinary and Partial Differential Equations Using Euler’s and Finite Difference Scheme}, journal = {Journal of Partial Differential Equations}, year = {2022}, volume = {35}, number = {3}, pages = {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.

}, issn = {2079-732X}, doi = {https://doi.org/10.4208/jpde.v35.n3.6}, url = {http://global-sci.org/intro/article_detail/jpde/20776.html} }
TY - JOUR T1 - Study of Stability Criteria of Numerical Solution of Ordinary and Partial Differential Equations Using Euler’s and Finite Difference Scheme AU - Ahmad , Najmuddin AU - Charan , Shiv JO - Journal of Partial Differential Equations VL - 3 SP - 281 EP - 288 PY - 2022 DA - 2022/06 SN - 35 DO - http://doi.org/10.4208/jpde.v35.n3.6 UR - https://global-sci.org/intro/article_detail/jpde/20776.html KW - Stability, ordinary and partial differential equations, Eulers and finite difference scheme. AB -

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.

Ahmad , Najmuddin and Charan , Shiv. (2022). Study of Stability Criteria of Numerical Solution of Ordinary and Partial Differential Equations Using Euler’s and Finite Difference Scheme. Journal of Partial Differential Equations. 35 (3). 281-288. doi:10.4208/jpde.v35.n3.6
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