{"status":"ok","message-type":"work","message-version":"1.0.0","message":{"indexed":{"date-parts":[[2025,10,7]],"date-time":"2025-10-07T11:46:53Z","timestamp":1759837613566,"version":"3.40.5"},"reference-count":27,"publisher":"Wiley","license":[{"start":{"date-parts":[[2020,2,4]],"date-time":"2020-02-04T00:00:00Z","timestamp":1580774400000},"content-version":"unspecified","delay-in-days":0,"URL":"http:\/\/creativecommons.org\/licenses\/by\/4.0\/"}],"content-domain":{"domain":[],"crossmark-restriction":false},"short-container-title":["Journal of Applied Mathematics"],"published-print":{"date-parts":[[2020,2,4]]},"abstract":"<jats:p>In this paper, a collocation method using sinc functions and Chebyshev wavelet method is implemented to solve linear systems of Volterra integro-differential equations. To test the validity of these methods, two numerical examples with known exact solution are presented. Numerical results indicate that the convergence and accuracy of these methods are in good a agreement with the analytical solution. However, according to comparison of these methods, we conclude that the Chebyshev wavelet method provides more accurate results.<\/jats:p>","DOI":"10.1155\/2020\/2360487","type":"journal-article","created":{"date-parts":[[2020,2,4]],"date-time":"2020-02-04T18:30:24Z","timestamp":1580841024000},"page":"1-13","source":"Crossref","is-referenced-by-count":6,"title":["Approximation Techniques for Solving Linear Systems of Volterra Integro-Differential Equations"],"prefix":"10.1155","volume":"2020","author":[{"given":"Ahmad","family":"Issa","sequence":"first","affiliation":[{"name":"Department of Mathematics, Faculty of Science, An-Najah National University, Nablus, State of Palestine"}]},{"ORCID":"https:\/\/orcid.org\/0000-0002-3008-495X","authenticated-orcid":true,"given":"Naji","family":"Qatanani","sequence":"additional","affiliation":[{"name":"Department of Mathematics, Faculty of Science, An-Najah National University, Nablus, State of Palestine"}]},{"ORCID":"https:\/\/orcid.org\/0000-0002-4531-8392","authenticated-orcid":true,"given":"Adnan","family":"Daraghmeh","sequence":"additional","affiliation":[{"name":"Department of Mathematics, Faculty of Science, An-Najah National University, Nablus, State of Palestine"}]}],"member":"311","reference":[{"key":"1","doi-asserted-by":"publisher","DOI":"10.1007\/BF01601490"},{"key":"2","doi-asserted-by":"publisher","DOI":"10.1515\/IJNSNS.2007.8.2.223"},{"key":"3","doi-asserted-by":"publisher","DOI":"10.1137\/0524008"},{"issue":"2","key":"4","first-page":"108","volume":"1","year":"2013","journal-title":"Computational Methods for Differential Equations"},{"issue":"7","key":"5","first-page":"1","volume":"2","year":"2013","journal-title":"International Journal of Mathematical Engineering and Science"},{"issue":"1","key":"6","first-page":"45","volume":"4","year":"2015","journal-title":"Mathematical Sciences Letters"},{"key":"7","doi-asserted-by":"publisher","DOI":"10.12732\/ijam.v31i5.10"},{"key":"8","doi-asserted-by":"publisher","DOI":"10.1155\/2017\/2417195"},{"issue":"2","key":"10","first-page":"30","volume":"6","year":"2006","journal-title":"Journal for Al-Nahrain University Science"},{"key":"11","doi-asserted-by":"publisher","DOI":"10.1016\/j.amc.2015.09.092"},{"key":"12","doi-asserted-by":"publisher","DOI":"10.1016\/j.jfranklin.2005.04.001"},{"key":"13","doi-asserted-by":"publisher","DOI":"10.1016\/S0096-3003(03)00778-1"},{"key":"14","doi-asserted-by":"publisher","DOI":"10.1016\/j.camwa.2008.05.017"},{"key":"15","doi-asserted-by":"publisher","DOI":"10.1016\/j.chaos.2007.06.001"},{"issue":"1","key":"16","volume":"1","year":"2009","journal-title":"Journal of Advanced Research in Scientific Computing"},{"key":"17","doi-asserted-by":"publisher","DOI":"10.1016\/j.amc.2009.05.061"},{"year":"1983","key":"18"},{"year":"1985","key":"19"},{"issue":"3","key":"20","first-page":"423","volume":"1","year":"1998","journal-title":"Mathematical Inequalities and Applications"},{"key":"21","doi-asserted-by":"publisher","DOI":"10.14232\/ejqtde.1999.5.30"},{"key":"22","doi-asserted-by":"publisher","DOI":"10.1016\/S0022-247X(03)00171-9"},{"issue":"1","key":"23","first-page":"28","volume":"3","year":"2015","journal-title":"International Journal of Mathematics and Statistics Studies"},{"volume":"26","journal-title":"Society of Indian Automobile Manufacturers","year":"1977","key":"24"},{"journal-title":"Approximation Theory: From Taylor Polynomials to Wavelets","year":"2004","key":"25"},{"volume":"61","journal-title":"SIAM Review","year":"1992","key":"26"},{"key":"27","doi-asserted-by":"publisher","DOI":"10.4236\/am.2011.29152"},{"key":"28","doi-asserted-by":"publisher","DOI":"10.1111\/1440-1681.12328"}],"container-title":["Journal of Applied Mathematics"],"original-title":[],"language":"en","link":[{"URL":"http:\/\/downloads.hindawi.com\/journals\/jam\/2020\/2360487.pdf","content-type":"application\/pdf","content-version":"vor","intended-application":"text-mining"},{"URL":"http:\/\/downloads.hindawi.com\/journals\/jam\/2020\/2360487.xml","content-type":"application\/xml","content-version":"vor","intended-application":"text-mining"},{"URL":"http:\/\/downloads.hindawi.com\/journals\/jam\/2020\/2360487.pdf","content-type":"unspecified","content-version":"vor","intended-application":"similarity-checking"}],"deposited":{"date-parts":[[2020,2,4]],"date-time":"2020-02-04T18:30:33Z","timestamp":1580841033000},"score":1,"resource":{"primary":{"URL":"https:\/\/www.hindawi.com\/journals\/jam\/2020\/2360487\/"}},"subtitle":[],"short-title":[],"issued":{"date-parts":[[2020,2,4]]},"references-count":27,"alternative-id":["2360487","2360487"],"URL":"https:\/\/doi.org\/10.1155\/2020\/2360487","relation":{},"ISSN":["1110-757X","1687-0042"],"issn-type":[{"type":"print","value":"1110-757X"},{"type":"electronic","value":"1687-0042"}],"subject":[],"published":{"date-parts":[[2020,2,4]]}}}