{"id":"https://openalex.org/W3024532728","doi":"https://doi.org/10.1142/s1793962320500300","title":"A highly stable explicit scheme for a fourth-order nonlinear diffusion filter","display_name":"A highly stable explicit scheme for a fourth-order nonlinear diffusion filter","publication_year":2020,"publication_date":"2020-05-12","ids":{"openalex":"https://openalex.org/W3024532728","doi":"https://doi.org/10.1142/s1793962320500300","mag":"3024532728"},"language":"en","primary_location":{"id":"doi:10.1142/s1793962320500300","is_oa":false,"landing_page_url":"https://doi.org/10.1142/s1793962320500300","pdf_url":null,"source":{"id":"https://openalex.org/S107361000","display_name":"Advances in Complex Systems","issn_l":"0219-5259","issn":["0219-5259","1793-6802","1793-9615","1793-9623"],"is_oa":false,"is_in_doaj":false,"is_core":true,"host_organization":"https://openalex.org/P4310319815","host_organization_name":"World Scientific","host_organization_lineage":["https://openalex.org/P4310319815"],"host_organization_lineage_names":["World Scientific"],"type":"journal"},"license":null,"license_id":null,"version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"International Journal of Modeling, Simulation, and Scientific Computing","raw_type":"journal-article"},"type":"article","indexed_in":["crossref"],"open_access":{"is_oa":false,"oa_status":"closed","oa_url":null,"any_repository_has_fulltext":false},"authorships":[{"author_position":"first","author":{"id":"https://openalex.org/A5080284359","display_name":"Mahipal Jetta","orcid":"https://orcid.org/0000-0002-9621-2264"},"institutions":[{"id":"https://openalex.org/I4210164565","display_name":"Mahindra University","ror":"https://ror.org/05751b994","country_code":"IN","type":"education","lineage":["https://openalex.org/I4210164565"]}],"countries":["IN"],"is_corresponding":true,"raw_author_name":"Mahipal Jetta","raw_affiliation_strings":["Department of Mathematics, Mahindra \u00c9cole Centrale, Hyderabad 500043, India"],"raw_orcid":"https://orcid.org/0000-0002-9621-2264","affiliations":[{"raw_affiliation_string":"Department of Mathematics, Mahindra \u00c9cole Centrale, Hyderabad 500043, India","institution_ids":["https://openalex.org/I4210164565"]}]}],"institutions":[],"countries_distinct_count":1,"institutions_distinct_count":1,"corresponding_author_ids":["https://openalex.org/A5080284359"],"corresponding_institution_ids":["https://openalex.org/I4210164565"],"apc_list":null,"apc_paid":null,"fwci":0.0,"has_fulltext":false,"cited_by_count":0,"citation_normalized_percentile":{"value":0.03970651,"is_in_top_1_percent":false,"is_in_top_10_percent":false},"cited_by_percentile_year":null,"biblio":{"volume":"11","issue":"04","first_page":"2050030","last_page":"2050030"},"is_retracted":false,"is_paratext":false,"is_xpac":false,"primary_topic":{"id":"https://openalex.org/T10688","display_name":"Image and Signal Denoising Methods","score":0.9965000152587891,"subfield":{"id":"https://openalex.org/subfields/1707","display_name":"Computer Vision and Pattern Recognition"},"field":{"id":"https://openalex.org/fields/17","display_name":"Computer Science"},"domain":{"id":"https://openalex.org/domains/3","display_name":"Physical Sciences"}},"topics":[{"id":"https://openalex.org/T10688","display_name":"Image and Signal Denoising Methods","score":0.9965000152587891,"subfield":{"id":"https://openalex.org/subfields/1707","display_name":"Computer Vision and Pattern Recognition"},"field":{"id":"https://openalex.org/fields/17","display_name":"Computer Science"},"domain":{"id":"https://openalex.org/domains/3","display_name":"Physical Sciences"}},{"id":"https://openalex.org/T10339","display_name":"Advanced Numerical Methods in Computational Mathematics","score":0.9925000071525574,"subfield":{"id":"https://openalex.org/subfields/2206","display_name":"Computational Mechanics"},"field":{"id":"https://openalex.org/fields/22","display_name":"Engineering"},"domain":{"id":"https://openalex.org/domains/3","display_name":"Physical Sciences"}},{"id":"https://openalex.org/T10271","display_name":"Seismic Imaging and Inversion Techniques","score":0.9896000027656555,"subfield":{"id":"https://openalex.org/subfields/1908","display_name":"Geophysics"},"field":{"id":"https://openalex.org/fields/19","display_name":"Earth and Planetary Sciences"},"domain":{"id":"https://openalex.org/domains/3","display_name":"Physical Sciences"}}],"keywords":[{"id":"https://openalex.org/keywords/nonlinear-system","display_name":"Nonlinear system","score":0.6996718049049377},{"id":"https://openalex.org/keywords/mathematics","display_name":"Mathematics","score":0.659542441368103},{"id":"https://openalex.org/keywords/finite-difference","display_name":"Finite difference","score":0.6193604469299316},{"id":"https://openalex.org/keywords/filter","display_name":"Filter (signal processing)","score":0.581547737121582},{"id":"https://openalex.org/keywords/partial-differential-equation","display_name":"Partial differential equation","score":0.5603111386299133},{"id":"https://openalex.org/keywords/applied-mathematics","display_name":"Applied mathematics","score":0.5513779520988464},{"id":"https://openalex.org/keywords/scheme","display_name":"Scheme (mathematics)","score":0.5288131237030029},{"id":"https://openalex.org/keywords/finite-difference-method","display_name":"Finite difference method","score":0.5270181894302368},{"id":"https://openalex.org/keywords/diffusion","display_name":"Diffusion","score":0.4715682864189148},{"id":"https://openalex.org/keywords/partial-derivative","display_name":"Partial derivative","score":0.4621923565864563},{"id":"https://openalex.org/keywords/order","display_name":"Order (exchange)","score":0.4234100580215454},{"id":"https://openalex.org/keywords/mathematical-analysis","display_name":"Mathematical analysis","score":0.37580469250679016},{"id":"https://openalex.org/keywords/algorithm","display_name":"Algorithm","score":0.35306042432785034},{"id":"https://openalex.org/keywords/computer-science","display_name":"Computer science","score":0.22366675734519958}],"concepts":[{"id":"https://openalex.org/C158622935","wikidata":"https://www.wikidata.org/wiki/Q660848","display_name":"Nonlinear system","level":2,"score":0.6996718049049377},{"id":"https://openalex.org/C33923547","wikidata":"https://www.wikidata.org/wiki/Q395","display_name":"Mathematics","level":0,"score":0.659542441368103},{"id":"https://openalex.org/C181330731","wikidata":"https://www.wikidata.org/wiki/Q2068418","display_name":"Finite difference","level":2,"score":0.6193604469299316},{"id":"https://openalex.org/C106131492","wikidata":"https://www.wikidata.org/wiki/Q3072260","display_name":"Filter (signal processing)","level":2,"score":0.581547737121582},{"id":"https://openalex.org/C93779851","wikidata":"https://www.wikidata.org/wiki/Q271977","display_name":"Partial differential equation","level":2,"score":0.5603111386299133},{"id":"https://openalex.org/C28826006","wikidata":"https://www.wikidata.org/wiki/Q33521","display_name":"Applied mathematics","level":1,"score":0.5513779520988464},{"id":"https://openalex.org/C77618280","wikidata":"https://www.wikidata.org/wiki/Q1155772","display_name":"Scheme (mathematics)","level":2,"score":0.5288131237030029},{"id":"https://openalex.org/C205951836","wikidata":"https://www.wikidata.org/wiki/Q1147751","display_name":"Finite difference method","level":2,"score":0.5270181894302368},{"id":"https://openalex.org/C69357855","wikidata":"https://www.wikidata.org/wiki/Q163214","display_name":"Diffusion","level":2,"score":0.4715682864189148},{"id":"https://openalex.org/C53846429","wikidata":"https://www.wikidata.org/wiki/Q186475","display_name":"Partial derivative","level":2,"score":0.4621923565864563},{"id":"https://openalex.org/C182306322","wikidata":"https://www.wikidata.org/wiki/Q1779371","display_name":"Order (exchange)","level":2,"score":0.4234100580215454},{"id":"https://openalex.org/C134306372","wikidata":"https://www.wikidata.org/wiki/Q7754","display_name":"Mathematical analysis","level":1,"score":0.37580469250679016},{"id":"https://openalex.org/C11413529","wikidata":"https://www.wikidata.org/wiki/Q8366","display_name":"Algorithm","level":1,"score":0.35306042432785034},{"id":"https://openalex.org/C41008148","wikidata":"https://www.wikidata.org/wiki/Q21198","display_name":"Computer science","level":0,"score":0.22366675734519958},{"id":"https://openalex.org/C31972630","wikidata":"https://www.wikidata.org/wiki/Q844240","display_name":"Computer vision","level":1,"score":0.0},{"id":"https://openalex.org/C162324750","wikidata":"https://www.wikidata.org/wiki/Q8134","display_name":"Economics","level":0,"score":0.0},{"id":"https://openalex.org/C121332964","wikidata":"https://www.wikidata.org/wiki/Q413","display_name":"Physics","level":0,"score":0.0},{"id":"https://openalex.org/C10138342","wikidata":"https://www.wikidata.org/wiki/Q43015","display_name":"Finance","level":1,"score":0.0},{"id":"https://openalex.org/C97355855","wikidata":"https://www.wikidata.org/wiki/Q11473","display_name":"Thermodynamics","level":1,"score":0.0},{"id":"https://openalex.org/C62520636","wikidata":"https://www.wikidata.org/wiki/Q944","display_name":"Quantum mechanics","level":1,"score":0.0}],"mesh":[],"locations_count":1,"locations":[{"id":"doi:10.1142/s1793962320500300","is_oa":false,"landing_page_url":"https://doi.org/10.1142/s1793962320500300","pdf_url":null,"source":{"id":"https://openalex.org/S107361000","display_name":"Advances in Complex Systems","issn_l":"0219-5259","issn":["0219-5259","1793-6802","1793-9615","1793-9623"],"is_oa":false,"is_in_doaj":false,"is_core":true,"host_organization":"https://openalex.org/P4310319815","host_organization_name":"World Scientific","host_organization_lineage":["https://openalex.org/P4310319815"],"host_organization_lineage_names":["World Scientific"],"type":"journal"},"license":null,"license_id":null,"version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"International Journal of Modeling, Simulation, and Scientific Computing","raw_type":"journal-article"}],"best_oa_location":null,"sustainable_development_goals":[],"awards":[],"funders":[],"has_content":{"pdf":false,"grobid_xml":false},"content_urls":null,"referenced_works_count":35,"referenced_works":["https://openalex.org/W55532390","https://openalex.org/W1480546554","https://openalex.org/W1977472541","https://openalex.org/W1982348168","https://openalex.org/W1985507365","https://openalex.org/W2001662283","https://openalex.org/W2004928853","https://openalex.org/W2012775467","https://openalex.org/W2016885551","https://openalex.org/W2042243302","https://openalex.org/W2056217824","https://openalex.org/W2084433208","https://openalex.org/W2088803186","https://openalex.org/W2101121254","https://openalex.org/W2111899019","https://openalex.org/W2122287830","https://openalex.org/W2130094715","https://openalex.org/W2135036909","https://openalex.org/W2136473316","https://openalex.org/W2150134853","https://openalex.org/W2164822588","https://openalex.org/W2294221694","https://openalex.org/W2405655420","https://openalex.org/W2496985465","https://openalex.org/W2649461732","https://openalex.org/W2764248688","https://openalex.org/W2808776451","https://openalex.org/W2810030866","https://openalex.org/W2906963437","https://openalex.org/W2945392724","https://openalex.org/W3011612142","https://openalex.org/W3099189501","https://openalex.org/W3122764147","https://openalex.org/W4300712724","https://openalex.org/W4301866048"],"related_works":["https://openalex.org/W2735653195","https://openalex.org/W2330640442","https://openalex.org/W1544816068","https://openalex.org/W1975234065","https://openalex.org/W2171402820","https://openalex.org/W4251142058","https://openalex.org/W2392533133","https://openalex.org/W2617981106","https://openalex.org/W2201026674","https://openalex.org/W2077539121"],"abstract_inverted_index":{"The":[0,32],"standard":[1,104],"finite":[2,74,105],"difference":[3,6,13,106],"scheme":[4,38,96,126],"(forward":[5],"approximation":[7,66],"for":[8,15,18,49,64,84],"time":[9],"derivative":[10],"and":[11],"central":[12],"approximations":[14],"spatial":[16,69],"derivatives)":[17],"fourth-order":[19,87],"nonlinear":[20],"diffusion":[21],"filter":[22],"allows":[23,97],"very":[24],"small":[25],"time-step":[26,53,100],"size":[27,101],"to":[28],"obtain":[29],"stable":[30,45],"results.":[31],"alternating":[33],"directional":[34],"implicit":[35],"(ADI)":[36],"splitting":[37,138],"such":[39],"as":[40],"Douglas":[41],"method":[42],"is":[43,127],"highly":[44],"but":[46],"compromises":[47],"accuracy":[48],"a":[50],"relatively":[51,98],"larger":[52],"size.":[54],"In":[55],"this":[56],"paper,":[57],"we":[58,118],"develop":[59],"[Formula:":[60],"see":[61],"text]":[62],"stencils":[63,83],"the":[65,73,86,94,103,111,114,124],"of":[67,81,113],"second-order":[68],"derivatives":[70],"based":[71],"on":[72,110],"pointset":[75],"method.":[76],"We":[77,91],"then":[78],"make":[79],"use":[80],"these":[82],"approximating":[85],"partial":[88],"differential":[89],"equation.":[90],"show":[92],"that":[93,123],"proposed":[95,125],"bigger":[99],"than":[102,135],"scheme,":[107],"without":[108],"compromising":[109],"quality":[112,132],"filtered":[115,133],"image.":[116],"Further,":[117],"demonstrate":[119],"through":[120],"numerical":[121],"simulations":[122],"more":[128],"efficient,":[129],"in":[130],"obtaining":[131],"image,":[134],"an":[136],"ADI":[137],"scheme.":[139]},"counts_by_year":[],"updated_date":"2026-05-21T06:26:12.895304","created_date":"2025-10-10T00:00:00"}