A novel kernel functions algorithm for solving impulsive boundary value problems
In this letter, to fit the character of solutions to impulsive boundary value problems (IBVPs), we firstly construct a piecewise continuous space using the reproducing kernel function (RKF) of smooth reproducing kernel Hilbert space (RKHS) W3. Then we present a fourth order convergent collocation ap...
Saved in:
| Published in | Applied mathematics letters Vol. 134; p. 108318 |
|---|---|
| Main Authors | , |
| Format | Journal Article |
| Language | English |
| Published |
Elsevier Ltd
01.12.2022
|
| Subjects | |
| Online Access | Get full text |
| ISSN | 0893-9659 1873-5452 |
| DOI | 10.1016/j.aml.2022.108318 |
Cover
| Abstract | In this letter, to fit the character of solutions to impulsive boundary value problems (IBVPs), we firstly construct a piecewise continuous space using the reproducing kernel function (RKF) of smooth reproducing kernel Hilbert space (RKHS) W3. Then we present a fourth order convergent collocation approach for IBVPs by using the piecewise continuous basis functions yielded by RKFs in W3. Also, the convergence order of our approach is proved. The accuracy and convergence order are shown numerically. |
|---|---|
| AbstractList | In this letter, to fit the character of solutions to impulsive boundary value problems (IBVPs), we firstly construct a piecewise continuous space using the reproducing kernel function (RKF) of smooth reproducing kernel Hilbert space (RKHS) W3. Then we present a fourth order convergent collocation approach for IBVPs by using the piecewise continuous basis functions yielded by RKFs in W3. Also, the convergence order of our approach is proved. The accuracy and convergence order are shown numerically. |
| ArticleNumber | 108318 |
| Author | Wu, X.Y. Geng, F.Z. |
| Author_xml | – sequence: 1 givenname: F.Z. surname: Geng fullname: Geng, F.Z. email: gengfazhan@sina.com organization: Department of Mathematics, Changshu Institute of Technology, Changshu, Jiangsu 215500, PR China – sequence: 2 givenname: X.Y. surname: Wu fullname: Wu, X.Y. organization: Department of Mathematics, Nanjing University, Nanjing, Jiangsu 210093, PR China |
| BookMark | eNp9kMtKAzEUhoMo2FYfwF1eYGqSuSW4KsUbFHSh65BkztTUTFKSmQHf3hnqykVXPwfOdzj_t0SXPnhA6I6SNSW0uj-sVefWjDA2zTyn_AItKK_zrCxKdokWhIs8E1UprtEypQMhJBc5X6D3DfZhBIe_Ifop2sGb3gafsHL7EG3_1eE2RJyCG63fY9sdB5fsCFiHwTcq_uBRuQHwMQbtoEs36KpVLsHtX67Q59Pjx_Yl2709v243u8wwUfcZ00BYRbUWhGmum5KCIZQJVeSs0jVt61bzhgOZdwpqeEnzoipYowXjQpt8hejprokhpQitPEbbTf9ISuSsRB7kpETOSuRJycTU_xhjezXX7aOy7iz5cCJhqjRaiDIZC95AYyOYXjbBnqF_AYx4fo0 |
| CitedBy_id | crossref_primary_10_1007_s12190_024_02122_3 crossref_primary_10_1016_j_jfranklin_2023_01_040 crossref_primary_10_1016_j_cam_2023_115107 crossref_primary_10_1002_acs_3604 crossref_primary_10_1002_acs_3637 crossref_primary_10_1002_rnc_6657 crossref_primary_10_1016_j_aml_2024_109242 crossref_primary_10_1002_acs_3550 crossref_primary_10_1080_00207721_2023_2178864 crossref_primary_10_1002_oca_2982 crossref_primary_10_3846_mma_2023_16852 crossref_primary_10_1002_acs_3593 crossref_primary_10_1002_oca_2941 crossref_primary_10_1016_j_cam_2023_115104 crossref_primary_10_1002_rnc_6580 crossref_primary_10_1016_j_aml_2023_108636 crossref_primary_10_1007_s12190_024_02210_4 crossref_primary_10_1007_s12555_021_1028_6 crossref_primary_10_1016_j_jfranklin_2022_08_045 crossref_primary_10_1016_j_aml_2022_108451 crossref_primary_10_1007_s11071_023_08458_y crossref_primary_10_1002_rnc_6488 crossref_primary_10_1002_rnc_6796 crossref_primary_10_1007_s00034_022_02285_z |
| Cites_doi | 10.1016/j.aml.2021.107832 10.1016/j.aml.2020.106718 10.1016/j.aml.2021.107525 10.1016/j.apnum.2021.10.008 10.1016/j.cam.2018.10.027 10.1016/j.apnum.2020.12.015 10.1002/mma.7305 |
| ContentType | Journal Article |
| Copyright | 2022 Elsevier Ltd |
| Copyright_xml | – notice: 2022 Elsevier Ltd |
| DBID | AAYXX CITATION |
| DOI | 10.1016/j.aml.2022.108318 |
| DatabaseName | CrossRef |
| DatabaseTitle | CrossRef |
| DatabaseTitleList | |
| DeliveryMethod | fulltext_linktorsrc |
| Discipline | Mathematics |
| EISSN | 1873-5452 |
| ExternalDocumentID | 10_1016_j_aml_2022_108318 S0893965922002312 |
| GroupedDBID | --K --M .~1 0R~ 1B1 1RT 1~. 1~5 23M 4.4 457 4G. 5GY 5VS 6I. 7-5 71M 8P~ 9JN AACTN AAEDT AAEDW AAFTH AAIAV AAIKJ AAKOC AALRI AAOAW AAQFI AAQXK AAXUO ABAOU ABEFU ABFNM ABJNI ABMAC ABVKL ABXDB ABYKQ ACAZW ACDAQ ACGFS ACNNM ACRLP ADBBV ADEZE ADMUD ADTZH AEBSH AECPX AEKER AENEX AEXQZ AFFNX AFKWA AFTJW AGHFR AGUBO AGYEJ AHHHB AHJVU AIEXJ AIGVJ AIKHN AITUG AJBFU AJOXV ALMA_UNASSIGNED_HOLDINGS AMFUW AMRAJ ARUGR ASPBG AVWKF AXJTR AZFZN BJAXD BKOJK BLXMC CS3 EBS EFJIC EFLBG EJD EO8 EO9 EP2 EP3 F5P FDB FEDTE FGOYB FIRID FNPLU FYGXN G-2 G-Q GBLVA HVGLF HZ~ IHE IXB J1W JJJVA KOM M26 M41 MHUIS MO0 N9A NCXOZ O-L O9- OAUVE OK1 OZT P-8 P-9 P2P PC. Q38 R2- RIG RNS ROL RPZ SDF SDG SDP SES SEW SPC SPCBC SST SSW SSZ T5K UHS WUQ XPP ZMT ~G- AATTM AAXKI AAYWO AAYXX ABWVN ACLOT ACRPL ACVFH ADCNI ADNMO ADVLN AEIPS AEUPX AFJKZ AFPUW AGQPQ AIGII AIIUN AKBMS AKRWK AKYEP ANKPU APXCP CITATION EFKBS ~HD |
| ID | FETCH-LOGICAL-c297t-2be0261bb902b8bd51ec0129a4326b71f7fb8d8e061bb41c85134642db9289bc3 |
| IEDL.DBID | .~1 |
| ISSN | 0893-9659 |
| IngestDate | Thu Oct 16 04:46:29 EDT 2025 Thu Apr 24 23:08:53 EDT 2025 Fri Feb 23 02:38:32 EST 2024 |
| IsPeerReviewed | true |
| IsScholarly | true |
| Keywords | Kernel functions Piecewise continuous space Impulsive boundary value problems |
| Language | English |
| LinkModel | DirectLink |
| MergedId | FETCHMERGED-LOGICAL-c297t-2be0261bb902b8bd51ec0129a4326b71f7fb8d8e061bb41c85134642db9289bc3 |
| ParticipantIDs | crossref_primary_10_1016_j_aml_2022_108318 crossref_citationtrail_10_1016_j_aml_2022_108318 elsevier_sciencedirect_doi_10_1016_j_aml_2022_108318 |
| PublicationCentury | 2000 |
| PublicationDate | December 2022 2022-12-00 |
| PublicationDateYYYYMMDD | 2022-12-01 |
| PublicationDate_xml | – month: 12 year: 2022 text: December 2022 |
| PublicationDecade | 2020 |
| PublicationTitle | Applied mathematics letters |
| PublicationYear | 2022 |
| Publisher | Elsevier Ltd |
| Publisher_xml | – name: Elsevier Ltd |
| References | Li, Wu (b4) 2020; 380 Geng, Wu (b6) 2021; 122 Xu, Zhang, Tohidi (b3) 2021; 162 Li, Wu (b9) 2022; 127 O. Abu Arqub, J. Singh, B. Maayah, M. Alhodaly, Reproducing kernel approach for numerical solutions of fuzzy fractional initial value problems under the Mittag-Leffler kernel differential operator, Numer. Method Appl. Sci. Allahviranloo, Sahihi (b7) 2021; 400 Akgül (b8) 2021; 14 Li, Wang, Wu (b10) 2022; 172 Xu, Zhao, Niu, Guo, Lin (b1) 2019; 351 Sun, Niu, Hou (b2) 2021; 112 . Li (10.1016/j.aml.2022.108318_b9) 2022; 127 Li (10.1016/j.aml.2022.108318_b4) 2020; 380 Allahviranloo (10.1016/j.aml.2022.108318_b7) 2021; 400 10.1016/j.aml.2022.108318_b5 Geng (10.1016/j.aml.2022.108318_b6) 2021; 122 Sun (10.1016/j.aml.2022.108318_b2) 2021; 112 Xu (10.1016/j.aml.2022.108318_b3) 2021; 162 Akgül (10.1016/j.aml.2022.108318_b8) 2021; 14 Li (10.1016/j.aml.2022.108318_b10) 2022; 172 Xu (10.1016/j.aml.2022.108318_b1) 2019; 351 |
| References_xml | – volume: 127 year: 2022 ident: b9 article-title: A kernel regression approach for identification of first orderdifferential equations based on functional data publication-title: Appl. Math. Lett. – volume: 112 year: 2021 ident: b2 article-title: A high order convergence collocation method based on the reproducing kernel for general interface problems publication-title: Appl. Math. Lett. – volume: 14 start-page: 2041 year: 2021 end-page: 2053 ident: b8 article-title: A new application of the reproducing kernel method publication-title: Discrete Contin. Dyn. Syst. Ser. S – reference: O. Abu Arqub, J. Singh, B. Maayah, M. Alhodaly, Reproducing kernel approach for numerical solutions of fuzzy fractional initial value problems under the Mittag-Leffler kernel differential operator, Numer. Method Appl. Sci. – volume: 162 start-page: 124 year: 2021 end-page: 136 ident: b3 article-title: A fourth-order least-squares based reproducing kernel method for one-dimensional elliptic interface problems publication-title: Appl. Numer. Math. – volume: 380 year: 2020 ident: b4 article-title: A new kernel functions based approach for solving 1-D interface problems publication-title: Appl. Math. Comput. – volume: 172 start-page: 206 year: 2022 end-page: 214 ident: b10 article-title: A stable and efficient technique for linear boundary value problems by applying kernel functions publication-title: Appl. Numer. Math. – volume: 122 year: 2021 ident: b6 article-title: Reproducing kernel functions based univariate spline interpolation publication-title: Appl. Math. Lett. – volume: 351 start-page: 29 year: 2019 end-page: 40 ident: b1 article-title: A simplified reproducing kernel method for 1-D elliptic typeinterface problems publication-title: J. Comput. Appl. Math. – reference: . – volume: 400 year: 2021 ident: b7 article-title: Reproducing kernel method to solve fractional delay differential equations publication-title: Appl. Math. Comput. – volume: 380 year: 2020 ident: 10.1016/j.aml.2022.108318_b4 article-title: A new kernel functions based approach for solving 1-D interface problems publication-title: Appl. Math. Comput. – volume: 14 start-page: 2041 year: 2021 ident: 10.1016/j.aml.2022.108318_b8 article-title: A new application of the reproducing kernel method publication-title: Discrete Contin. Dyn. Syst. Ser. S – volume: 127 year: 2022 ident: 10.1016/j.aml.2022.108318_b9 article-title: A kernel regression approach for identification of first orderdifferential equations based on functional data publication-title: Appl. Math. Lett. doi: 10.1016/j.aml.2021.107832 – volume: 112 year: 2021 ident: 10.1016/j.aml.2022.108318_b2 article-title: A high order convergence collocation method based on the reproducing kernel for general interface problems publication-title: Appl. Math. Lett. doi: 10.1016/j.aml.2020.106718 – volume: 122 year: 2021 ident: 10.1016/j.aml.2022.108318_b6 article-title: Reproducing kernel functions based univariate spline interpolation publication-title: Appl. Math. Lett. doi: 10.1016/j.aml.2021.107525 – volume: 172 start-page: 206 year: 2022 ident: 10.1016/j.aml.2022.108318_b10 article-title: A stable and efficient technique for linear boundary value problems by applying kernel functions publication-title: Appl. Numer. Math. doi: 10.1016/j.apnum.2021.10.008 – volume: 400 year: 2021 ident: 10.1016/j.aml.2022.108318_b7 article-title: Reproducing kernel method to solve fractional delay differential equations publication-title: Appl. Math. Comput. – volume: 351 start-page: 29 year: 2019 ident: 10.1016/j.aml.2022.108318_b1 article-title: A simplified reproducing kernel method for 1-D elliptic typeinterface problems publication-title: J. Comput. Appl. Math. doi: 10.1016/j.cam.2018.10.027 – volume: 162 start-page: 124 year: 2021 ident: 10.1016/j.aml.2022.108318_b3 article-title: A fourth-order least-squares based reproducing kernel method for one-dimensional elliptic interface problems publication-title: Appl. Numer. Math. doi: 10.1016/j.apnum.2020.12.015 – ident: 10.1016/j.aml.2022.108318_b5 doi: 10.1002/mma.7305 |
| SSID | ssj0003938 |
| Score | 2.4745963 |
| Snippet | In this letter, to fit the character of solutions to impulsive boundary value problems (IBVPs), we firstly construct a piecewise continuous space using the... |
| SourceID | crossref elsevier |
| SourceType | Enrichment Source Index Database Publisher |
| StartPage | 108318 |
| SubjectTerms | Impulsive boundary value problems Kernel functions Piecewise continuous space |
| Title | A novel kernel functions algorithm for solving impulsive boundary value problems |
| URI | https://dx.doi.org/10.1016/j.aml.2022.108318 |
| Volume | 134 |
| hasFullText | 1 |
| inHoldings | 1 |
| isFullTextHit | |
| isPrint | |
| journalDatabaseRights | – providerCode: PRVESC databaseName: Baden-Württemberg Complete Freedom Collection (Elsevier) customDbUrl: eissn: 1873-5452 dateEnd: 99991231 omitProxy: true ssIdentifier: ssj0003938 issn: 0893-9659 databaseCode: GBLVA dateStart: 20110101 isFulltext: true titleUrlDefault: https://www.sciencedirect.com providerName: Elsevier – providerCode: PRVESC databaseName: Elsevier ScienceDirect customDbUrl: eissn: 1873-5452 dateEnd: 99991231 omitProxy: true ssIdentifier: ssj0003938 issn: 0893-9659 databaseCode: .~1 dateStart: 19950101 isFulltext: true titleUrlDefault: https://www.sciencedirect.com providerName: Elsevier – providerCode: PRVESC databaseName: Elsevier SD Complete Freedom Collection customDbUrl: eissn: 1873-5452 dateEnd: 99991231 omitProxy: true ssIdentifier: ssj0003938 issn: 0893-9659 databaseCode: ACRLP dateStart: 20211101 isFulltext: true titleUrlDefault: https://www.sciencedirect.com providerName: Elsevier – providerCode: PRVESC databaseName: ScienceDirect customDbUrl: eissn: 1873-5452 dateEnd: 99991231 omitProxy: true ssIdentifier: ssj0003938 issn: 0893-9659 databaseCode: AIKHN dateStart: 20211101 isFulltext: true titleUrlDefault: https://www.sciencedirect.com providerName: Elsevier – providerCode: PRVLSH databaseName: Elsevier Journals customDbUrl: mediaType: online eissn: 1873-5452 dateEnd: 99991231 omitProxy: true ssIdentifier: ssj0003938 issn: 0893-9659 databaseCode: AKRWK dateStart: 19880101 isFulltext: true providerName: Library Specific Holdings |
| link | http://utb.summon.serialssolutions.com/2.0.0/link/0/eLvHCXMwnV1LS8NAEF5KvehBfGJ9lD14EmKTzaZJjqVYqtIiaKG3sJtMtJqkpQ_Bi7_dmTyqgnrwFBJmljAM89j9dj7GzrFI1r4H2sAIiQ2KiAHjoFSGBsez7Mht-4puIw-G7f5I3oydcY11q7swBKssY38R0_NoXX5pldZszSaT1r2JqZbG4QnCGdg507CULrEYXL5_wjxsP2ezJmGDpKuTzRzjpVI6fRCCkHY28X78lJu-5JveDtsuC0XeKf5ll9Ug22Nbg_WU1cU-u-vwbPoKCX-BeYYPylG5G3GVPE6x639KOdakHN2Ltg34JJ2tEoKrc52TKc3fOM36Bl6yyiwO2Kh39dDtGyVDghEK310aQgP1UFr7ptCejhwLQtpZUhKrMu1asRtrL_LAJBlphVhe2RI7jkj72Gjp0D5k9WyawRHjpnJwCVyBRrwpAB9023OlUranImHFDWZWtgnCcnw4sVgkQYUTew7QnAGZMyjM2WAXa5VZMTvjL2FZGTz45gABxvbf1Y7_p3bCNumtwKWcsvpyvoIzrC6Wupm7T5NtdK5v-8MPc4TOHQ |
| linkProvider | Elsevier |
| linkToHtml | http://utb.summon.serialssolutions.com/2.0.0/link/0/eLvHCXMwnV1LS8NAEF5KPagH8Yn1uQdPQmyy2TTJsRRL1bYIttDbsptsNJqmpQ_Bi7_dmTyqgnrwFEhmljAM89j9dj5CLqBIVr6nlQEREhoUFmmIg1waSjueZYduw5d4G7nXb3SG_HbkjCqkVd6FQVhlEfvzmJ5F6-JNvbBmfRrH9QcTUi2Ow2OIM7CRaXiNO8zFDuzq_RPnYfsZnTVKGyheHm1mIC85xuMHxhBqZyPxx0_J6UvCaW-TraJSpM38Z3ZIRae7ZLO3GrM63yP3TZpOXnVCX_QshQcmqcyPqEweJ9D2P40pFKUU_Av3DWg8ni4TxKtTlbEpzd4oDvvWtKCVme-TYft60OoYBUWCETDfXRhMaWyilPJNpjwVOpYOcGtJcijLlGtFbqS80NMmynArgPrK5tByhMqHTksF9gGpppNUHxJqSgeWgBVwxpvU2teq4blcStuTIbOiGjFL24igmB-ONBaJKIFizwLMKdCcIjdnjVyuVKb58Iy_hHlpcPHNAwQE99_Vjv6ndk7WO4NeV3Rv-nfHZAO_IAqEsRNSXcyW-hRKjYU6y1zpA2q0z7s |
| openUrl | ctx_ver=Z39.88-2004&ctx_enc=info%3Aofi%2Fenc%3AUTF-8&rfr_id=info%3Asid%2Fsummon.serialssolutions.com&rft_val_fmt=info%3Aofi%2Ffmt%3Akev%3Amtx%3Ajournal&rft.genre=article&rft.atitle=A+novel+kernel+functions+algorithm+for+solving+impulsive+boundary+value+problems&rft.jtitle=Applied+mathematics+letters&rft.au=Geng%2C+F.Z.&rft.au=Wu%2C+X.Y.&rft.date=2022-12-01&rft.issn=0893-9659&rft.volume=134&rft.spage=108318&rft_id=info:doi/10.1016%2Fj.aml.2022.108318&rft.externalDBID=n%2Fa&rft.externalDocID=10_1016_j_aml_2022_108318 |
| thumbnail_l | http://covers-cdn.summon.serialssolutions.com/index.aspx?isbn=/lc.gif&issn=0893-9659&client=summon |
| thumbnail_m | http://covers-cdn.summon.serialssolutions.com/index.aspx?isbn=/mc.gif&issn=0893-9659&client=summon |
| thumbnail_s | http://covers-cdn.summon.serialssolutions.com/index.aspx?isbn=/sc.gif&issn=0893-9659&client=summon |