{"id":{"repo_id":"uthm","oai_identifier":"oai:eprints.uthm.edu.my:749"},"canonical_url":"https://search.dev.ndltd.org/etd/uthm/oai:eprints.uthm.edu.my:749","repository":{"repo_id":"uthm","name":"Universiti Tun Hussein Onn Malaysia","base_url":"http://eprints.uthm.edu.my/cgi/oai2"},"display":{"title":"Solving the volterra integral form of the lane emden equations by homotopy perturbation method and adomian decompostion method","abstract":"In this research, Homotopy Perturbation Method(HPM) and Adomian Decomposition Method(ADM), as two known methods, is analyzed for solving Volterra integral from of the Lane-Emden equations. The result from both method are compared with the exact solution. It has been shown that these two methods are capable to get the similar result with exact solution, when solving Volterra integral from of the Lane-Emden equations. The efficiency of these two methods are demonstrated through several examples to show the ability of the methods in solving Lane-Emden equations of Volterra integral form. This research has determind that ADM is more reliable and efficient than HPM. The ADM requires shorter computational that HPM, but it yields more accurate results compared to HPM.","abstract_html":"In this research, Homotopy Perturbation Method(HPM) and Adomian Decomposition Method(ADM), as two known methods, is analyzed for solving Volterra integral from of the Lane-Emden equations. The result from both method are compared with the exact solution. It has been shown that these two methods are capable to get the similar result with exact solution, when solving Volterra integral from of the Lane-Emden equations. The efficiency of these two methods are demonstrated through several examples to show the ability of the methods in solving Lane-Emden equations of Volterra integral form. This research has determind that ADM is more reliable and efficient than HPM. The ADM requires shorter computational that HPM, but it yields more accurate results compared to HPM.","abstract_has_math":false,"creators":["Baharom, Fairuz Bahirah"],"institution":"Universiti Tun Hussein Onn Malaysia","degree_name":"mphil","degree_level":"masters","degree_discipline":null,"degree_department":null,"school":null,"contributors":[],"advisors":[],"committee_chairs":[],"committee_members":[],"year":2017,"date_issued":"2017-01","date_published":"2017-01","updated_at":"2026-07-24T05:48:03Z","subjects":["QA299.6-433 Analysis"],"languages":["en"],"rights":[],"rights_urls":[],"identifier_entries":[]},"links":{"outbound_url":null,"outbound_label":null,"outbound_source":null},"metadata_groups":[{"id":"people","label":"People","entries":[{"key":"dc:creator","label":"Author","values":["Baharom, Fairuz Bahirah"]}]},{"id":"academic_context","label":"Academic Context","entries":[{"key":"dc:date","label":"Dc Date","values":["2017-01"]},{"key":"dc:date.issued","label":"Date","values":["2017-01"]},{"key":"dc:publisher.department","label":"Dc Publisher Department","values":["Fakulti Sains Gunaan dan Teknologi"]},{"key":"dc:publisher.institution","label":"Dc Publisher Institution","values":["Universiti Tun Hussein Onn Malaysia"]},{"key":"dc:relation.isreferencedby","label":"Dc Relation Isreferencedby","values":["http://eprints.uthm.edu.my/749/"]},{"key":"dc:type","label":"Dc Type","values":["Thesis"]},{"key":"dc:type.qualificationlevel","label":"Dc Type Qualificationlevel","values":["masters"]},{"key":"dc:type.qualificationname","label":"Dc Type Qualificationname","values":["mphil"]}]},{"id":"subjects_keywords","label":"Subjects and Keywords","entries":[{"key":"dc:subject","label":"Dc Subject","values":["QA299.6-433 Analysis"]}]},{"id":"language_rights","label":"Language and Rights","entries":[{"key":"dc:language","label":"Dc Language","values":["en"]}]},{"id":"identifiers","label":"Identifiers","entries":[{"key":"dc:identifier.uri","label":"Identifier URI","values":["http://eprints.uthm.edu.my/749/1/24p%20FAIRUZ%20BAHIRAH%20BAHAROM.pdf","http://eprints.uthm.edu.my/749/2/FAIRUZ%20BAHIRAH%20BAHAROM%20COPYRIGHT%20DECLARATION.pdf","http://eprints.uthm.edu.my/749/3/FAIRUZ%20BAHIRAH%20BAHAROM%20WATERMARK.pdf"]}]},{"id":"additional","label":"Additional Metadata","entries":[{"key":"dc:description.abstract","label":"Abstract","values":["In this research, Homotopy Perturbation Method(HPM) and Adomian Decomposition Method(ADM), as two known methods, is analyzed for solving Volterra integral from of the Lane-Emden equations. The result from both method are compared with the exact solution. It has been shown that these two methods are capable to get the similar result with exact solution, when solving Volterra integral from of the Lane-Emden equations. The efficiency of these two methods are demonstrated through several examples to show the ability of the methods in solving Lane-Emden equations of Volterra integral form. This research has determind that ADM is more reliable and efficient than HPM. The ADM requires shorter computational that HPM, but it yields more accurate results compared to HPM."]},{"key":"dc:format","label":"Dc Format","values":["text"]},{"key":"dc:title","label":"Title","values":["Solving the volterra integral form of the lane emden equations by homotopy perturbation method and adomian decompostion method"]}]}],"canonical_facts":{"dc:creator":["Baharom, Fairuz Bahirah"],"dc:date":["2017-01"],"dc:date.issued":["2017-01"],"dc:description.abstract":["In this research, Homotopy Perturbation Method(HPM) and Adomian Decomposition Method(ADM), as two known methods, is analyzed for solving Volterra integral from of the Lane-Emden equations. The result from both method are compared with the exact solution. It has been shown that these two methods are capable to get the similar result with exact solution, when solving Volterra integral from of the Lane-Emden equations. The efficiency of these two methods are demonstrated through several examples to show the ability of the methods in solving Lane-Emden equations of Volterra integral form. This research has determind that ADM is more reliable and efficient than HPM. The ADM requires shorter computational that HPM, but it yields more accurate results compared to HPM."],"dc:format":["text"],"dc:identifier.uri":["http://eprints.uthm.edu.my/749/1/24p%20FAIRUZ%20BAHIRAH%20BAHAROM.pdf","http://eprints.uthm.edu.my/749/2/FAIRUZ%20BAHIRAH%20BAHAROM%20COPYRIGHT%20DECLARATION.pdf","http://eprints.uthm.edu.my/749/3/FAIRUZ%20BAHIRAH%20BAHAROM%20WATERMARK.pdf"],"dc:language":["en"],"dc:publisher.department":["Fakulti Sains Gunaan dan Teknologi"],"dc:publisher.institution":["Universiti Tun Hussein Onn Malaysia"],"dc:relation.isreferencedby":["http://eprints.uthm.edu.my/749/"],"dc:subject":["QA299.6-433 Analysis"],"dc:title":["Solving the volterra integral form of the lane emden equations by homotopy perturbation method and adomian decompostion method"],"dc:type":["Thesis"],"dc:type.qualificationlevel":["masters"],"dc:type.qualificationname":["mphil"]},"updated_at":"2026-07-24T05:48:03Z"}