{"id":"https://openalex.org/W2744518536","doi":"https://doi.org/10.30495/jme.v11i0.582","title":"Numerical solution of two-dimensional telegraph equations using Haar wavelets","display_name":"Numerical solution of two-dimensional telegraph equations using Haar wavelets","publication_year":2017,"publication_date":"2017-08-02","ids":{"openalex":"https://openalex.org/W2744518536","doi":"https://doi.org/10.30495/jme.v11i0.582","mag":"2744518536"},"language":"en","primary_location":{"id":"mag:2744518536","doi":"https://doi.org/10.30495/jme.v11i0.582","is_oa":true,"landing_page_url":"https://www.ijmex.com/index.php/ijmex/article/download/582/324","pdf_url":null,"source":{"id":"https://openalex.org/S2764769645","display_name":"Journal of mathematical extension.","issn_l":"1735-8299","issn":["1735-8299"],"is_oa":true,"is_in_doaj":true,"is_core":false,"listed_in":["doaj","dongbi-d","poland-20","russia-white-list-3"],"host_organization":"https://openalex.org/P4310319124","host_organization_name":"Azad University Cross Team","host_organization_lineage":["https://openalex.org/P4310319124"],"host_organization_lineage_names":["Azad University Cross Team"],"type":"journal"},"license":null,"license_id":null,"version":null,"is_accepted":false,"is_published":false,"raw_source_name":"Journal of mathematical extension.","raw_type":null},"volume":null,"type":"article","is_traditional":true,"indexed_in":[],"open_access":{"is_oa":true,"oa_status":"diamond","oa_url":"https://www.ijmex.com/index.php/ijmex/article/download/582/324","any_repository_has_fulltext":true},"authorships":[{"author_position":"first","author":{"id":"https://openalex.org/A5101813490","display_name":"Inderdeep Singh","orcid":"https://orcid.org/0000-0003-3280-3732","observed_orcids":["https://orcid.org/0000-0003-3280-3732"]},"institutions":[{"id":"https://openalex.org/I70971781","display_name":"Dr. B. R. Ambedkar National Institute of Technology Jalandhar","ror":"https://ror.org/03xt0bg88","country_code":"IN","type":"education","lineage":["https://openalex.org/I70971781"]}],"countries":["IN"],"is_corresponding":false,"raw_author_name":"Inderdeep Singh","raw_affiliation_strings":["Department of Mathematics#R##N#Dr. B. R. Ambedkar National Institute of Technology Jalandhar-144011, Punjab, India"],"raw_orcid":"https://orcid.org/0000-0003-3280-3732","affiliations":[{"raw_affiliation_string":"Department of Mathematics#R##N#Dr. B. R. Ambedkar National Institute of Technology Jalandhar-144011, Punjab, India","institution_ids":["https://openalex.org/I70971781"]}]},{"author_position":"last","author":{"id":"https://openalex.org/A5101478505","display_name":"Sheo Kumar","orcid":"https://orcid.org/0000-0001-6783-4817","observed_orcids":["https://orcid.org/0000-0001-6783-4817"]},"institutions":[{"id":"https://openalex.org/I70971781","display_name":"Dr. B. R. Ambedkar National Institute of Technology Jalandhar","ror":"https://ror.org/03xt0bg88","country_code":"IN","type":"education","lineage":["https://openalex.org/I70971781"]}],"countries":["IN"],"is_corresponding":false,"raw_author_name":"Sheo Kumar","raw_affiliation_strings":["Professor #R##N#Department of Mathematics#R##N#Dr. B. R. Ambedkar National Institute of Technology Jalandhar-144011, Punjab, India"],"raw_orcid":"https://orcid.org/0000-0001-6783-4817","affiliations":[{"raw_affiliation_string":"Professor #R##N#Department of Mathematics#R##N#Dr. B. R. Ambedkar National Institute of Technology Jalandhar-144011, Punjab, India","institution_ids":["https://openalex.org/I70971781"]}]}],"institutions":[],"countries_distinct_count":1,"institutions_distinct_count":1,"corresponding_author_ids":[],"corresponding_institution_ids":["https://openalex.org/I70971781"],"apc_list":null,"apc_paid":null,"fwci":0.2467,"has_fulltext":false,"cited_by_count":1,"citation_normalized_percentile":{"value":0.41277116,"is_in_top_1_percent":false,"is_in_top_10_percent":false},"cited_by_percentile_year":{"min":88,"max":93},"biblio":{"volume":"11","issue":null,"first_page":"1","last_page":"26"},"is_retracted":false,"is_paratext":false,"is_xpac":false,"primary_topic":{"id":"https://openalex.org/T11416","display_name":"Numerical Solvers for Ordinary Differential Equations","score":0.47749999165534973,"subfield":{"id":"https://openalex.org/subfields/2612","display_name":"Numerical Analysis"},"field":{"id":"https://openalex.org/fields/26","display_name":"Mathematics"},"domain":{"id":"https://openalex.org/domains/3","display_name":"Physical Sciences"}},"topics":[{"id":"https://openalex.org/T11416","display_name":"Numerical Solvers for Ordinary Differential Equations","score":0.47749999165534973,"subfield":{"id":"https://openalex.org/subfields/2612","display_name":"Numerical Analysis"},"field":{"id":"https://openalex.org/fields/26","display_name":"Mathematics"},"domain":{"id":"https://openalex.org/domains/3","display_name":"Physical Sciences"}},{"id":"https://openalex.org/T12589","display_name":"Differential Equations and Boundary Problems","score":0.2667999863624573,"subfield":{"id":"https://openalex.org/subfields/2604","display_name":"Applied Mathematics"},"field":{"id":"https://openalex.org/fields/26","display_name":"Mathematics"},"domain":{"id":"https://openalex.org/domains/3","display_name":"Physical Sciences"}},{"id":"https://openalex.org/T10288","display_name":"Fractional Differential Equations Solutions","score":0.11580000072717667,"subfield":{"id":"https://openalex.org/subfields/2611","display_name":"Modeling and Simulation"},"field":{"id":"https://openalex.org/fields/26","display_name":"Mathematics"},"domain":{"id":"https://openalex.org/domains/3","display_name":"Physical Sciences"}}],"keywords":[{"id":"https://openalex.org/keywords/telegrapher-s-equations","display_name":"telegraph equation","score":0.8880000114440918},{"id":"https://openalex.org/keywords/haar-wavelet","display_name":"Haar wavelet","score":0.9210000038146973},{"id":"https://openalex.org/keywords/mixed-partial-derivatives","display_name":"mixed derivatives","score":0.6359999775886536},{"id":"https://openalex.org/keywords/wavelet-collocation-method","display_name":"wavelet collocation method","score":0.7839999794960022},{"id":"https://openalex.org/keywords/numerical-solution-of-partial-differential-equations","display_name":"numerical solution of partial differential equations","score":0.7950000166893005},{"id":"https://openalex.org/keywords/collocation-points","display_name":"collocation points","score":0.5550000071525574}],"concepts":[{"id":"https://openalex.org/C33923547","wikidata":"https://www.wikidata.org/wiki/Q395","display_name":"Mathematics","level":0,"score":0.855504035949707},{"id":"https://openalex.org/C187029792","wikidata":"https://www.wikidata.org/wiki/Q2179112","display_name":"Haar","level":3,"score":0.851900577545166},{"id":"https://openalex.org/C47432892","wikidata":"https://www.wikidata.org/wiki/Q831390","display_name":"Wavelet","level":2,"score":0.8158199787139893},{"id":"https://openalex.org/C2780423554","wikidata":"https://www.wikidata.org/wiki/Q766198","display_name":"Haar wavelet","level":5,"score":0.7737703919410706},{"id":"https://openalex.org/C28826006","wikidata":"https://www.wikidata.org/wiki/Q33521","display_name":"Applied mathematics","level":1,"score":0.5168969631195068},{"id":"https://openalex.org/C2126413","wikidata":"https://www.wikidata.org/wiki/Q1779479","display_name":"Collocation method","level":4,"score":0.4809495806694031},{"id":"https://openalex.org/C80023036","wikidata":"https://www.wikidata.org/wiki/Q5147531","display_name":"Collocation (remote sensing)","level":2,"score":0.4714720547199249},{"id":"https://openalex.org/C134306372","wikidata":"https://www.wikidata.org/wiki/Q7754","display_name":"Mathematical analysis","level":1,"score":0.44634175300598145},{"id":"https://openalex.org/C88829872","wikidata":"https://www.wikidata.org/wiki/Q5048176","display_name":"Cascade algorithm","level":5,"score":0.42278993129730225},{"id":"https://openalex.org/C196216189","wikidata":"https://www.wikidata.org/wiki/Q2867","display_name":"Wavelet transform","level":3,"score":0.40155673027038574},{"id":"https://openalex.org/C46286280","wikidata":"https://www.wikidata.org/wiki/Q2414958","display_name":"Discrete wavelet transform","level":4,"score":0.34047406911849976},{"id":"https://openalex.org/C78045399","wikidata":"https://www.wikidata.org/wiki/Q11214","display_name":"Differential equation","level":2,"score":0.12702664732933044},{"id":"https://openalex.org/C41008148","wikidata":"https://www.wikidata.org/wiki/Q21198","display_name":"Computer science","level":0,"score":0.09128075838088989},{"id":"https://openalex.org/C154945302","wikidata":"https://www.wikidata.org/wiki/Q11660","display_name":"Artificial intelligence","level":1,"score":0.05504360795021057},{"id":"https://openalex.org/C119857082","wikidata":"https://www.wikidata.org/wiki/Q2539","display_name":"Machine learning","level":1,"score":0.0},{"id":"https://openalex.org/C51544822","wikidata":"https://www.wikidata.org/wiki/Q465274","display_name":"Ordinary differential equation","level":3,"score":0.0}],"mesh":[],"locations_count":1,"locations":[{"id":"mag:2744518536","doi":"https://doi.org/10.30495/jme.v11i0.582","is_oa":true,"landing_page_url":"https://www.ijmex.com/index.php/ijmex/article/download/582/324","pdf_url":null,"source":{"id":"https://openalex.org/S2764769645","display_name":"Journal of mathematical extension.","issn_l":"1735-8299","issn":["1735-8299"],"is_oa":true,"is_in_doaj":true,"is_core":false,"listed_in":["doaj","dongbi-d","poland-20","russia-white-list-3"],"host_organization":"https://openalex.org/P4310319124","host_organization_name":"Azad University Cross Team","host_organization_lineage":["https://openalex.org/P4310319124"],"host_organization_lineage_names":["Azad University Cross Team"],"type":"journal"},"license":null,"license_id":null,"version":null,"is_accepted":false,"is_published":false,"raw_source_name":"Journal of mathematical extension.","raw_type":null}],"best_oa_location":{"id":"mag:2744518536","doi":"https://doi.org/10.30495/jme.v11i0.582","is_oa":true,"landing_page_url":"https://www.ijmex.com/index.php/ijmex/article/download/582/324","pdf_url":null,"source":{"id":"https://openalex.org/S2764769645","display_name":"Journal of mathematical extension.","issn_l":"1735-8299","issn":["1735-8299"],"is_oa":true,"is_in_doaj":true,"is_core":false,"listed_in":["doaj","dongbi-d","poland-20","russia-white-list-3"],"host_organization":"https://openalex.org/P4310319124","host_organization_name":"Azad University Cross Team","host_organization_lineage":["https://openalex.org/P4310319124"],"host_organization_lineage_names":["Azad University Cross Team"],"type":"journal"},"license":null,"license_id":null,"version":null,"is_accepted":false,"is_published":false,"raw_source_name":"Journal of mathematical extension.","raw_type":null},"sustainable_development_goals":[],"study_designs":[],"awards":[],"funders":[],"has_content":{"grobid_xml":false,"pdf":false},"content_urls":null,"referenced_works_count":0,"referenced_works":[],"related_works":["https://openalex.org/W3047072983","https://openalex.org/W3001850854","https://openalex.org/W2794717917","https://openalex.org/W2182302452","https://openalex.org/W4390780502","https://openalex.org/W2013243433","https://openalex.org/W2804115586","https://openalex.org/W7220547318","https://openalex.org/W2601034949","https://openalex.org/W2766001322"],"abstract_inverted_index":{"We":[0],"present":[1],"here,":[2],"three-":[3],"dimensional":[4,14,28],"Haar":[5,29,57],"wavelet":[6,30,38,58],"based":[7],"method":[8],"for":[9],"solving":[10],"well":[11],"known":[12],"two-":[13],"telegraph":[15],"equation,":[16],"by":[17,23],"approximating":[18],"higher":[19,27],"order":[20],"mixed":[21],"derivatives":[22],"a":[24,70],"series":[25],"of":[26,40,54,62,69,73],"functions,":[31],"which":[32],"are":[33],"integrated":[34],"subsequently":[35],"to":[36,48],"get":[37],"approximation":[39],"the":[41,50,55,63,67],"solution.":[42],"Numerical":[43],"examples":[44],"have":[45,76],"been":[46,77],"solved":[47],"illustrate":[49],"accuracy":[51,61],"and":[52],"efficiency":[53],"proposed":[56],"method.":[59],"High":[60],"results":[64],"even":[65],"in":[66],"case":[68],"small":[71],"number":[72],"collocation":[74],"points":[75],"observed.":[78]},"counts_by_year":[{"year":2019,"cited_by_count":1}],"updated_date":"2026-10-28T10:33:24.094632","created_date":"2017-08-17T00:00:00"}
