collocation-homotopy method to initial-boundary value problems

Clicks: 5
ID: 180032
2013
Free PDF
Article Quality & Performance Metrics
Overall Quality
Not rated
Combines reader engagement with the AI quality analysis. This article has not been analysed, so there is no overall score — reader engagement is measured and shown alongside.
AI Quality Assessment
Not analyzed
Readership in this journal
Star

Ranked #33 of 33 articles by views in atmosphere

Most read Least read

Bar heights use a square-root scale.

Mint this article as an NFT
Not yet minted

Create a permanent, verifiable on-chain record of this article on the Scimatic Network. The NFT is held in your Journament account, and you can withdraw it to your own wallet at any time.

5 SUSD one-off · no wallet required
Sign in to mint
Abstract
In this paper, an algorithm based on the collocation and homotopy analysis methods, for solving initial-boundary value problems, is introduced. The application of this algorithm is based on the approximation and interpolation of the dependent variables by using suitable functions or polynomials according to their values in the collocation points corresponding to a suitable discretization of the space variable. Then the space derivatives are approximated using interpolation. Replacing them in the equation transforms the initial-boundary value problem into an initial value problem for ordinary differential equations. The obtained initial value problem is solved by homotopy analysis method. In the frame of the homotopy analysis method, the optimum value of convergence-parameter corresponding to each point is computed by a simple stochastic function minimizer, namely differential evolution method. Lagrange polynomials are usually adopted for the interpolation. In this framework, the Burgers model is considered as a prototype example.
Reference Key
molabahrami2013journalcollocation-homotopy Use this key to autocite in the manuscript while using SciMatic Manuscript Manager or Thesis Manager
Authors ;Ahmad Molabahrami;Abdullah Shidfar;Lassi Paivarinta
Journal atmosphere
Year 2013
DOI
10.5899/2013/jiasc-00019
URL
http://www.ispacs.com/journals/jiasc/2013/jiasc-00019/article.pdf
Keywords Keywords not found

Citations

No citations found. To add a citation, contact the admin at info@scimatic.org

Comments

No comments yet. Be the first to comment on this article.