Computational treatment of a convection-diffusion type nonlinear system of singularly perturbed differential equations

Q: How can I download an article?

To download an article from SID, first log in to the site, search for the article title, and click on the 'Download Article' option.

Q: How can I download an ISI article?

To download an ISI article on SID, enter the keyword or article title in the search bar, view the relevant results, click on the desired article, and select the 'Download Article' option.

Q: How can I access the SID database?

To access the SID database, visit SID.ir, create an account, and log in to access scientific resources.

Q: Is downloading articles from SID free?

Some articles on SID are available for free, while others require payment. Details are specified on the article's page.

Mariappan Manikandan

مرکز اطلاعات علمی Scientific Information Database (SID) - Trusted Source for Research and Academic Resources

Journal Paper

Paper Information

Journal: Journal of Mathematical Modeling Year:2024 | Volume:12 | Issue:2 Page(s): 235-246

Download Full-Text

View:

Download:

Cites:

Information Journal Paper

Title

Computational treatment of a convection-diffusion type nonlinear system of singularly perturbed differential equations

Author(s)

Mariappan Manikandan | Issue Writer Certificate

Keywords

Nonlinear system of singularly perturbed differential equations

boundary layers

finite difference scheme

Shishkin mesh

the continuation method

parameter-uniform convergence

Abstract

In this article, a Nonlinear system of singularly perturbed differential equations of convection-diffusion type with Dirichlet boundary conditions is considered on the interval $[0,1].$ Both components of the solution of the system exhibit boundary layers near $t = 0.$ A new computational method involving classical finite difference operators, a piecewise-uniform Shishkin mesh and an algorithm based on the continuation method is developed to compute the numerical approximations. The computational method is proved to be first order convergent uniformly with respect to the perturbation parameters. Numerical experiments support the theoretical results.

Multimedia

No record.

Cites

No record.

References

No record.

Cite

Related Journal Papers

No record.

Related Seminar Papers

No record.

Related Plans