{"status":"ok","message-type":"work","message-version":"1.0.0","message":{"indexed":{"date-parts":[[2026,5,9]],"date-time":"2026-05-09T18:20:35Z","timestamp":1778350835074,"version":"3.51.4"},"reference-count":0,"publisher":"Walter de Gruyter GmbH","issue":"4","license":[{"start":{"date-parts":[[2009,1,1]],"date-time":"2009-01-01T00:00:00Z","timestamp":1230768000000},"content-version":"unspecified","delay-in-days":0,"URL":"http:\/\/creativecommons.org\/licenses\/by-nc-nd\/4.0\/"}],"content-domain":{"domain":[],"crossmark-restriction":false},"short-container-title":["Comput. Methods Appl. Math."],"published-print":{"date-parts":[[2009]]},"abstract":"<jats:title>Abstract<\/jats:title><jats:p>In this paper, a nonlinear Volterra | Fredholm integro-differential\nequation is solved by using the modified Adomian decomposition method (MADM).\nThe approximate solution of this equation is calculated in the form of a series in which\nits components are computed easily. The accuracy of the proposed numerical scheme\nis examined by comparison with other analytical and numerical results. The existence,\nuniqueness and convergence and an error bound of the proposed method are proved.\nSome examples are presented to illustrate the efficiency and the performance of the\nmodified decomposition method.<\/jats:p>","DOI":"10.2478\/cmam-2009-0020","type":"journal-article","created":{"date-parts":[[2013,6,5]],"date-time":"2013-06-05T22:54:03Z","timestamp":1370472843000},"page":"321-331","source":"Crossref","is-referenced-by-count":14,"title":["Solving Nonlinear Volterra | Fredholm Integro-differential Equations Using the Modified Adomian Decomposition Method"],"prefix":"10.2478","volume":"9","author":[{"given":"M. A. Fariborzi","family":"Araghi","sequence":"first","affiliation":[{"name":"1Department of Mathematics, Islamic Azad University, Central Tehran Branch, P.O.Box 13185.768, Tehran, Iran."}]},{"given":"Sh. Sadigh","family":"Behzadi","sequence":"additional","affiliation":[{"name":"1Department of Mathematics, Islamic Azad University, Central Tehran Branch, P.O.Box 13185.768, Tehran, Iran."}]}],"member":"374","container-title":["Computational Methods in Applied Mathematics"],"original-title":[],"link":[{"URL":"https:\/\/www.degruyter.com\/view\/journals\/cmam\/9\/4\/article-p321.xml","content-type":"text\/html","content-version":"vor","intended-application":"text-mining"},{"URL":"https:\/\/www.degruyter.com\/document\/doi\/10.2478\/cmam-2009-0020\/pdf","content-type":"unspecified","content-version":"vor","intended-application":"similarity-checking"}],"deposited":{"date-parts":[[2021,4,22]],"date-time":"2021-04-22T14:21:30Z","timestamp":1619101290000},"score":1,"resource":{"primary":{"URL":"https:\/\/www.degruyter.com\/view\/journals\/cmam\/9\/4\/article-p321.xml"}},"subtitle":[],"short-title":[],"issued":{"date-parts":[[2009]]},"references-count":0,"journal-issue":{"issue":"4"},"URL":"https:\/\/doi.org\/10.2478\/cmam-2009-0020","relation":{},"ISSN":["1609-9389","1609-4840"],"issn-type":[{"value":"1609-9389","type":"electronic"},{"value":"1609-4840","type":"print"}],"subject":[],"published":{"date-parts":[[2009]]}}}