https://www.scipedia.com/wd/index.php?action=history&feed=atom&title=Ahmed_et_al_2021aAhmed et al 2021a - Revision history2026-05-05T00:27:34ZRevision history for this page on the wikiMediaWiki 1.27.0-wmf.10https://www.scipedia.com/wd/index.php?title=Ahmed_et_al_2021a&diff=219744&oldid=prevScipediacontent: Scipediacontent moved page Draft Content 739039167 to Ahmed et al 2021a2021-03-11T16:33:55Z<p>Scipediacontent moved page <a href="/public/Draft_Content_739039167" class="mw-redirect" title="Draft Content 739039167">Draft Content 739039167</a> to <a href="/public/Ahmed_et_al_2021a" title="Ahmed et al 2021a">Ahmed et al 2021a</a></p>
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</td></tr></table>Scipediacontenthttps://www.scipedia.com/wd/index.php?title=Ahmed_et_al_2021a&diff=219743&oldid=prevScipediacontent: Created page with "== Abstract == In this paper, a new variant of the nodal integral method (NIM) is proposed for the solution of 2D diffusion equation. In NIM, the scheme is derived using Tran..."2021-03-11T16:33:52Z<p>Created page with "== Abstract == In this paper, a new variant of the nodal integral method (NIM) is proposed for the solution of 2D diffusion equation. In NIM, the scheme is derived using Tran..."</p>
<p><b>New page</b></p><div>== Abstract ==<br />
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In this paper, a new variant of the nodal integral method (NIM) is proposed for the solution of 2D diffusion equation. In NIM, the scheme is derived using Transverse Integration Process (TIP) and analytical solutions of ODEs within nodes. This analytical pre-processing dramatically improve the quality of the solution, which is the main distinguishing feature of NIM. However, in this new approach, the TIP is performed at node center instead of node edge. Adapting this approach simplifies the scheme and make it easier to solve. To test the capabilities of this newly developed scheme, some benchmark problems using the diffusion equation are solved. It is found that the scheme is as accurate as traditional NIM, and the scheme is relatively easy to solve. It can be said that a simplified scheme is developed while retaining the accuracy of traditional NIM.<br />
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== Full document ==<br />
<pdf>Media:Draft_Content_739039167p4953.pdf</pdf></div>Scipediacontent