{"id":"https://openalex.org/W1532613734","doi":"https://doi.org/10.1007/978-3-642-11389-5_3","title":"Using Homotopy-WHEP Technique in Solving Nonlinear Diffusion Equation with Stochastic No Homogeneity","display_name":"Using Homotopy-WHEP Technique in Solving Nonlinear Diffusion Equation with Stochastic No Homogeneity","publication_year":2010,"publication_date":"2010-01-01","ids":{"openalex":"https://openalex.org/W1532613734","doi":"https://doi.org/10.1007/978-3-642-11389-5_3","mag":"1532613734"},"language":"en","primary_location":{"id":"doi:10.1007/978-3-642-11389-5_3","is_oa":false,"landing_page_url":"https://doi.org/10.1007/978-3-642-11389-5_3","pdf_url":null,"source":{"id":"https://openalex.org/S106296714","display_name":"Lecture notes in computer science","issn_l":"0302-9743","issn":["0302-9743","1611-3349"],"is_oa":false,"is_in_doaj":false,"is_core":true,"host_organization":"https://openalex.org/P4310319900","host_organization_name":"Springer Science+Business Media","host_organization_lineage":["https://openalex.org/P4310319900","https://openalex.org/P4310319965"],"host_organization_lineage_names":["Springer Science+Business Media","Springer Nature"],"type":"book series"},"license":null,"license_id":null,"version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"Lecture Notes in Computer Science","raw_type":"book-chapter"},"type":"book-chapter","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/A5037734805","display_name":"Magdy A. El\u2010Tawil","orcid":null},"institutions":[{"id":"https://openalex.org/I145487455","display_name":"Cairo University","ror":"https://ror.org/03q21mh05","country_code":"EG","type":"education","lineage":["https://openalex.org/I145487455"]}],"countries":["EG"],"is_corresponding":true,"raw_author_name":"Magdy A. El-Tawil","raw_affiliation_strings":["Faculty of Engineering, Engineering, Mathematics Department, Cairo University, Giza, Egypt","Cairo University, Faculty of Engineering, Engineering Mathematics Department, Giza, Egypt#TAB#"],"affiliations":[{"raw_affiliation_string":"Faculty of Engineering, Engineering, Mathematics Department, Cairo University, Giza, Egypt","institution_ids":["https://openalex.org/I145487455"]},{"raw_affiliation_string":"Cairo University, Faculty of Engineering, Engineering Mathematics Department, Giza, Egypt#TAB#","institution_ids":["https://openalex.org/I145487455"]}]},{"author_position":"last","author":{"id":"https://openalex.org/A5026203277","display_name":"Noha A. Al-Mulla","orcid":null},"institutions":[{"id":"https://openalex.org/I4626487","display_name":"King Faisal University","ror":"https://ror.org/00dn43547","country_code":"SA","type":"education","lineage":["https://openalex.org/I4626487"]}],"countries":["SA"],"is_corresponding":false,"raw_author_name":"Noha A. Al-Mulla","raw_affiliation_strings":["Faculty of science, Mathematics Department, King Faisal University, Dammam, Saudi Arabia","King Faisal University, Faculty of Science, Mathematics Department, Dammam, Saudi Arabia#TAB#"],"affiliations":[{"raw_affiliation_string":"Faculty of science, Mathematics Department, King Faisal University, Dammam, Saudi Arabia","institution_ids":["https://openalex.org/I4626487"]},{"raw_affiliation_string":"King Faisal University, Faculty of Science, Mathematics Department, Dammam, Saudi Arabia#TAB#","institution_ids":["https://openalex.org/I4626487"]}]}],"institutions":[],"countries_distinct_count":2,"institutions_distinct_count":2,"corresponding_author_ids":["https://openalex.org/A5037734805"],"corresponding_institution_ids":["https://openalex.org/I145487455"],"apc_list":{"value":5000,"currency":"EUR","value_usd":5392},"apc_paid":null,"fwci":2.3319,"has_fulltext":false,"cited_by_count":2,"citation_normalized_percentile":{"value":0.88644689,"is_in_top_1_percent":false,"is_in_top_10_percent":false},"cited_by_percentile_year":{"min":94,"max":96},"biblio":{"volume":null,"issue":null,"first_page":"51","last_page":"67"},"is_retracted":false,"is_paratext":false,"is_xpac":false,"primary_topic":{"id":"https://openalex.org/T10288","display_name":"Fractional Differential Equations Solutions","score":0.9998999834060669,"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"}},"topics":[{"id":"https://openalex.org/T10288","display_name":"Fractional Differential Equations Solutions","score":0.9998999834060669,"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"}},{"id":"https://openalex.org/T10928","display_name":"Probabilistic and Robust Engineering Design","score":0.9919000267982483,"subfield":{"id":"https://openalex.org/subfields/1804","display_name":"Statistics, Probability and Uncertainty"},"field":{"id":"https://openalex.org/fields/18","display_name":"Decision Sciences"},"domain":{"id":"https://openalex.org/domains/2","display_name":"Social Sciences"}},{"id":"https://openalex.org/T12661","display_name":"Iterative Methods for Nonlinear Equations","score":0.989799976348877,"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"}}],"keywords":[{"id":"https://openalex.org/keywords/homotopy-perturbation-method","display_name":"Homotopy perturbation method","score":0.8156999349594116},{"id":"https://openalex.org/keywords/homogeneity","display_name":"Homogeneity (statistics)","score":0.801395058631897},{"id":"https://openalex.org/keywords/homotopy-analysis-method","display_name":"Homotopy analysis method","score":0.7967886924743652},{"id":"https://openalex.org/keywords/nonlinear-system","display_name":"Nonlinear system","score":0.6754280924797058},{"id":"https://openalex.org/keywords/homotopy","display_name":"Homotopy","score":0.6164376139640808},{"id":"https://openalex.org/keywords/applied-mathematics","display_name":"Applied mathematics","score":0.4886663258075714},{"id":"https://openalex.org/keywords/perturbation","display_name":"Perturbation (astronomy)","score":0.4792906641960144},{"id":"https://openalex.org/keywords/mathematics","display_name":"Mathematics","score":0.478643536567688},{"id":"https://openalex.org/keywords/diffusion-equation","display_name":"Diffusion equation","score":0.46918344497680664},{"id":"https://openalex.org/keywords/computer-science","display_name":"Computer science","score":0.4543057084083557},{"id":"https://openalex.org/keywords/physics","display_name":"Physics","score":0.09585240483283997},{"id":"https://openalex.org/keywords/pure-mathematics","display_name":"Pure mathematics","score":0.0925666093826294}],"concepts":[{"id":"https://openalex.org/C91328119","wikidata":"https://www.wikidata.org/wiki/Q17030668","display_name":"Homotopy perturbation method","level":3,"score":0.8156999349594116},{"id":"https://openalex.org/C142259097","wikidata":"https://www.wikidata.org/wiki/Q5891314","display_name":"Homogeneity (statistics)","level":2,"score":0.801395058631897},{"id":"https://openalex.org/C173636693","wikidata":"https://www.wikidata.org/wiki/Q17030668","display_name":"Homotopy analysis method","level":3,"score":0.7967886924743652},{"id":"https://openalex.org/C158622935","wikidata":"https://www.wikidata.org/wiki/Q660848","display_name":"Nonlinear system","level":2,"score":0.6754280924797058},{"id":"https://openalex.org/C5961521","wikidata":"https://www.wikidata.org/wiki/Q746083","display_name":"Homotopy","level":2,"score":0.6164376139640808},{"id":"https://openalex.org/C28826006","wikidata":"https://www.wikidata.org/wiki/Q33521","display_name":"Applied mathematics","level":1,"score":0.4886663258075714},{"id":"https://openalex.org/C177918212","wikidata":"https://www.wikidata.org/wiki/Q803623","display_name":"Perturbation (astronomy)","level":2,"score":0.4792906641960144},{"id":"https://openalex.org/C33923547","wikidata":"https://www.wikidata.org/wiki/Q395","display_name":"Mathematics","level":0,"score":0.478643536567688},{"id":"https://openalex.org/C571446","wikidata":"https://www.wikidata.org/wiki/Q6510183","display_name":"Diffusion equation","level":3,"score":0.46918344497680664},{"id":"https://openalex.org/C41008148","wikidata":"https://www.wikidata.org/wiki/Q21198","display_name":"Computer science","level":0,"score":0.4543057084083557},{"id":"https://openalex.org/C121332964","wikidata":"https://www.wikidata.org/wiki/Q413","display_name":"Physics","level":0,"score":0.09585240483283997},{"id":"https://openalex.org/C202444582","wikidata":"https://www.wikidata.org/wiki/Q837863","display_name":"Pure mathematics","level":1,"score":0.0925666093826294},{"id":"https://openalex.org/C2780378061","wikidata":"https://www.wikidata.org/wiki/Q25351891","display_name":"Service (business)","level":2,"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/C105795698","wikidata":"https://www.wikidata.org/wiki/Q12483","display_name":"Statistics","level":1,"score":0.0},{"id":"https://openalex.org/C136264566","wikidata":"https://www.wikidata.org/wiki/Q159810","display_name":"Economy","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:10.1007/978-3-642-11389-5_3","is_oa":false,"landing_page_url":"https://doi.org/10.1007/978-3-642-11389-5_3","pdf_url":null,"source":{"id":"https://openalex.org/S106296714","display_name":"Lecture notes in computer science","issn_l":"0302-9743","issn":["0302-9743","1611-3349"],"is_oa":false,"is_in_doaj":false,"is_core":true,"host_organization":"https://openalex.org/P4310319900","host_organization_name":"Springer Science+Business Media","host_organization_lineage":["https://openalex.org/P4310319900","https://openalex.org/P4310319965"],"host_organization_lineage_names":["Springer Science+Business Media","Springer Nature"],"type":"book series"},"license":null,"license_id":null,"version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"Lecture Notes in Computer Science","raw_type":"book-chapter"}],"best_oa_location":null,"sustainable_development_goals":[],"awards":[],"funders":[],"has_content":{"grobid_xml":false,"pdf":false},"content_urls":null,"referenced_works_count":32,"referenced_works":["https://openalex.org/W95025712","https://openalex.org/W786686942","https://openalex.org/W1513889482","https://openalex.org/W1969441684","https://openalex.org/W1970467391","https://openalex.org/W1974264121","https://openalex.org/W1974295409","https://openalex.org/W1983362964","https://openalex.org/W1984690595","https://openalex.org/W1985432147","https://openalex.org/W1998603071","https://openalex.org/W1999776604","https://openalex.org/W2003806194","https://openalex.org/W2007754118","https://openalex.org/W2009536017","https://openalex.org/W2022276333","https://openalex.org/W2030620304","https://openalex.org/W2041418059","https://openalex.org/W2052199721","https://openalex.org/W2056251223","https://openalex.org/W2066132583","https://openalex.org/W2073673310","https://openalex.org/W2081349174","https://openalex.org/W2087226000","https://openalex.org/W2094536036","https://openalex.org/W2164144030","https://openalex.org/W2165917005","https://openalex.org/W2605273119","https://openalex.org/W2796303555","https://openalex.org/W2802668363","https://openalex.org/W3021388507","https://openalex.org/W4254389134"],"related_works":["https://openalex.org/W2088506180","https://openalex.org/W2362256999","https://openalex.org/W2188605998","https://openalex.org/W2087729225","https://openalex.org/W1964997874","https://openalex.org/W1545358442","https://openalex.org/W4239956528","https://openalex.org/W1497843313","https://openalex.org/W2127579732","https://openalex.org/W2151283633"],"abstract_inverted_index":null,"counts_by_year":[{"year":2012,"cited_by_count":2}],"updated_date":"2025-11-06T03:46:38.306776","created_date":"2025-10-10T00:00:00"}