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Numerical simulation of fractional-order two-dimensional Helmholtz equations

Numerical simulation of fractional-order two-dimensional Helmholtz equations

https://devfeature-collection.sl.nsw.gov.au/record/TN_cdi_doaj_primary_oai_doaj_org_article_f4f775ca505e4c92a1e081691f472480

Numerical simulation of fractional-order two-dimensional Helmholtz equations

About this item

Full title

Numerical simulation of fractional-order two-dimensional Helmholtz equations

Publisher

AIMS Press

Journal title

AIMS mathematics, 2023, Vol.8 (6), p.13205-13218

Language

English

Formats

Publication information

Publisher

AIMS Press

More information

Scope and Contents

Contents

In this paper, we investigate the exact solutions of several fractional-order Helmholtz equations using the homotopy perturbation transform method. We specify sufficient requirements for its convergence and provide error estimations. The homotopy perturbation transform method yields a quickly converging succession of solutions. Solutions for variou...

Alternative Titles

Full title

Numerical simulation of fractional-order two-dimensional Helmholtz equations

Authors, Artists and Contributors

Identifiers

Primary Identifiers

Record Identifier

TN_cdi_doaj_primary_oai_doaj_org_article_f4f775ca505e4c92a1e081691f472480

Permalink

https://devfeature-collection.sl.nsw.gov.au/record/TN_cdi_doaj_primary_oai_doaj_org_article_f4f775ca505e4c92a1e081691f472480

Other Identifiers

ISSN

2473-6988

E-ISSN

2473-6988

DOI

10.3934/math.2023667

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