Evidence map›Paper›PMID 41102238›Full record

ArticleScientific reports2025

A new hybrid block collocation method for solving elliptic PDEs.

Mufutau Ajani Rufai, Salvatore Filippone, Higinio Ramos, Giovanni Modanese

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Article in Scientific reports, 2025. The graph could read no effect estimate from its abstract, so it casts no vote on the map. Not yet cited in PubMed.

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0citing papers in PubMed
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1 · What the graph read from it

What it found

Each row is one number read from the abstract, on the scale the paper reported it, with its interval. Left of the dashed line favours the treatment, right favours the comparator. Under each row is the sentence it came from. New to these charts? A ten-minute tutorial.

The abstract states no effect estimate the extractor could read, or names no intervention and outcome on the map, so this paper lights no cell and moves no belief. It is still indexed, cited and linked below.

2 · The registry

The trial behind it

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Neither the registry nor the abstract names a trial number. If this is a trial report, that itself is worth knowing.

3 · Its place in the literature

Who cites it

0 citing papers in PubMed.

No citing paper in PubMed yet.

4 · The record

Corrections and comments

PubMed lists nothing against this paper. Absence here is not a guarantee, only a check that was made.

5 · Who and what money

Authors and funding

4 authors.

Mufutau Ajani RufaiFaculty of Engineering, Free University of Bozen-Bolzano, Bolzano, 39100, Italy. mufutauajani.rufai@unibz.it.
Salvatore FilipponeDepartment of Civil and Computer Engineering, University of Rome, Tor Vergata, Rome, Italy.
Higinio RamosScientific Computing Group, Universidad de Salamanca, Plaza de la Merced, Salamanca, 37008, Spain.
Giovanni ModaneseFaculty of Engineering, Free University of Bozen-Bolzano, Bolzano, 39100, Italy.

Funding

No grant is acknowledged in the PubMed record.

6 · The paper itself

Abstract

In this article, we introduce a new hybrid block collocation method (NHBCM) using polynomial approximation for solving two-dimensional elliptic partial differential equations (PDEs). The theoretical analysis demonstrates that the NHBCM achieves fifth-order accuracy, highlighting its robustness in stability and convergence. We validate the effectiveness of the NHBCM through a series of test problems, showcasing its practical applications. The comparison results indicate that the NHBCM provides significantly more efficient solutions for both linear and nonlinear elliptic model PDEs than other numerical methods used for comparison, thereby validating the superior performance of the NHBCM.

Indexed as

Block colocation methodBoundary value problemsElliptic partial differential equationsNumerical methodsPower series

Identifiers

PMID41102238
PMCPMC12533236

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Registered trials

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Read under generation 80e0d062 · epoch 390. Bibliography from PubMed, PubMed Central and OpenAlex; grants from NIH RePORTER; trial links from ClinicalTrials.gov; estimates, votes and beliefs from the OpenQuestion graph.