A reliable algorithm to compute the approximate solution of KdV-type partial differential equations of order seven.

A reliable algorithm to compute the approximate solution of KdV-type partial differential equations of order seven.

The approximate solution of KdV-type partial differential equations of order seven is presented. The algorithm based on one-dimensional Haar wavelet collocation method is adapted for this purpose. One-dimensional Haar wavelet collocation method is verified on Lax equation, Sawada-Kotera-Ito equation...

Full description

Bibliographic Details
Main Authors: Sidra Saleem, Malik Zawwar Hussain, Imran Aziz
Format: Article
Language:English
Published: Public Library of Science (PLoS) 2021-01-01
Series:PLoS ONE
Online Access:https://doi.org/10.1371/journal.pone.0244027
id doaj-240c87e2b4df4efd82466ec33c8a8265
record_format Article
spelling doaj-240c87e2b4df4efd82466ec33c8a82652021-04-27T04:30:22ZengPublic Library of Science (PLoS)PLoS ONE1932-62032021-01-01161e024402710.1371/journal.pone.0244027A reliable algorithm to compute the approximate solution of KdV-type partial differential equations of order seven.Sidra SaleemMalik Zawwar HussainImran AzizThe approximate solution of KdV-type partial differential equations of order seven is presented. The algorithm based on one-dimensional Haar wavelet collocation method is adapted for this purpose. One-dimensional Haar wavelet collocation method is verified on Lax equation, Sawada-Kotera-Ito equation and Kaup-Kuperschmidt equation of order seven. The approximated results are displayed by means of tables (consisting point wise errors and maximum absolute errors) to measure the accuracy and proficiency of the scheme in a few number of grid points. Moreover, the approximate solutions and exact solutions are compared graphically, that represent a close match between the two solutions and confirm the adequate behavior of the proposed method.https://doi.org/10.1371/journal.pone.0244027
collection DOAJ
language English
format Article
sources DOAJ
author Sidra Saleem
Malik Zawwar Hussain
Imran Aziz
spellingShingle Sidra Saleem
Malik Zawwar Hussain
Imran Aziz
A reliable algorithm to compute the approximate solution of KdV-type partial differential equations of order seven.
PLoS ONE
author_facet Sidra Saleem
Malik Zawwar Hussain
Imran Aziz
author_sort Sidra Saleem
title A reliable algorithm to compute the approximate solution of KdV-type partial differential equations of order seven.
title_short A reliable algorithm to compute the approximate solution of KdV-type partial differential equations of order seven.
title_full A reliable algorithm to compute the approximate solution of KdV-type partial differential equations of order seven.
title_fullStr A reliable algorithm to compute the approximate solution of KdV-type partial differential equations of order seven.
title_full_unstemmed A reliable algorithm to compute the approximate solution of KdV-type partial differential equations of order seven.
title_sort reliable algorithm to compute the approximate solution of kdv-type partial differential equations of order seven.
publisher Public Library of Science (PLoS)
series PLoS ONE
issn 1932-6203
publishDate 2021-01-01
description The approximate solution of KdV-type partial differential equations of order seven is presented. The algorithm based on one-dimensional Haar wavelet collocation method is adapted for this purpose. One-dimensional Haar wavelet collocation method is verified on Lax equation, Sawada-Kotera-Ito equation and Kaup-Kuperschmidt equation of order seven. The approximated results are displayed by means of tables (consisting point wise errors and maximum absolute errors) to measure the accuracy and proficiency of the scheme in a few number of grid points. Moreover, the approximate solutions and exact solutions are compared graphically, that represent a close match between the two solutions and confirm the adequate behavior of the proposed method.
url https://doi.org/10.1371/journal.pone.0244027
work_keys_str_mv AT sidrasaleem areliablealgorithmtocomputetheapproximatesolutionofkdvtypepartialdifferentialequationsoforderseven
AT malikzawwarhussain areliablealgorithmtocomputetheapproximatesolutionofkdvtypepartialdifferentialequationsoforderseven
AT imranaziz areliablealgorithmtocomputetheapproximatesolutionofkdvtypepartialdifferentialequationsoforderseven
AT sidrasaleem reliablealgorithmtocomputetheapproximatesolutionofkdvtypepartialdifferentialequationsoforderseven
AT malikzawwarhussain reliablealgorithmtocomputetheapproximatesolutionofkdvtypepartialdifferentialequationsoforderseven
AT imranaziz reliablealgorithmtocomputetheapproximatesolutionofkdvtypepartialdifferentialequationsoforderseven
_version_ 1714655662571520000

Similar Items