DISCRETIZATION OF LAPLACIAN OPERATOR IN POLAR COORDINATE SYSTEM, USING CRANK-NICOLSON’S (CN) SCHEME AND STABILITY ANALYSIS

Raunaque Ali Rid, Mazhar Ali Sahito, Akhlaque Ahmed Abbasi, Afshan Parveen Dehraj, Majida Mallah
ISSN / E-ISSN
3007-1992 / 3007-200X
DOI
10.71146/kjmr844 ↗
Volume · Issue · Pages
3 · 02 · —
Publisher
KASHF INSTITUTE OF DEVELOPMENT & STUDIES
Article URL
https://kjmr.ac.pk/kjmr/article/view/844 ↗
Article details
Unverified
Publication date (each date has its type and source)
26 Feb 2026
Publisher publication date · source: Journal websites (OAI-PMH feeds of Open Journal Systems)
Dates on record for this article
TypeDateSource
Publisher publication date26 Feb 2026 Journal websites (OAI-PMH feeds of Open Journal Systems)

Keywords (as given): Laplacian operator; Crank-Nicolson’s scheme; Discretization; Polar coordinate system

HEC Status at Publication Not the journal's current status

HEC Status at PublicationConclusive
HEC status at publication Recognized Y
Based on the recorded HEC dataset applicable to the article's publication date. Listed as Y in the HEC list for 2024–25.
Journal
Kashf Journal of Multidisciplinary Research
Publication date used
26 Feb 2026 (Publisher publication date)
Applicable HEC period
2024–25 (version 1) · 01 Oct 2024 – 31 Mar 2026
Category
Y
Recognition status
Recognized (OK_RECORD_FOUND)
Source
List of national journals 2024-25 page 25, row 222
Verification status
Verified against source · last verified 23 Sep 2026
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