{"status":"ok","message-type":"work","message-version":"1.0.0","message":{"indexed":{"date-parts":[[2025,7,30]],"date-time":"2025-07-30T14:40:47Z","timestamp":1753886447757,"version":"3.41.2"},"reference-count":20,"publisher":"Wiley","issue":"1","license":[{"start":{"date-parts":[[2011,12,4]],"date-time":"2011-12-04T00:00:00Z","timestamp":1322956800000},"content-version":"vor","delay-in-days":0,"URL":"http:\/\/creativecommons.org\/licenses\/by\/3.0\/"}],"funder":[{"DOI":"10.13039\/501100002660","name":"Islamic Azad University","doi-asserted-by":"publisher","id":[{"id":"10.13039\/501100002660","id-type":"DOI","asserted-by":"publisher"}]}],"content-domain":{"domain":["onlinelibrary.wiley.com"],"crossmark-restriction":true},"short-container-title":["Journal of Applied Mathematics"],"published-print":{"date-parts":[[2012,1]]},"abstract":"<jats:p>This paper presents numerical solution of elliptic partial differential equations (Poisson\u2032s equation) using a combination of logarithmic and multiquadric radial basis function networks. This method uses a special combination between logarithmic and multiquadric radial basis functions with a parameter <jats:italic>r<\/jats:italic>. Further, the condition number which arises in the process is discussed, and a comparison is made between them with our earlier studies and previously known ones. It is shown that the system is stable.<\/jats:p>","DOI":"10.1155\/2012\/286391","type":"journal-article","created":{"date-parts":[[2011,12,4]],"date-time":"2011-12-04T21:00:42Z","timestamp":1323032442000},"update-policy":"https:\/\/doi.org\/10.1002\/crossmark_policy","source":"Crossref","is-referenced-by-count":0,"title":["Numerical Solution of Poisson\u2032s Equation Using a Combination of Logarithmic and Multiquadric Radial Basis Function Networks"],"prefix":"10.1155","volume":"2012","author":[{"given":"Mohammad Mehdi","family":"Mazarei","sequence":"first","affiliation":[]},{"given":"Azim","family":"Aminataei","sequence":"additional","affiliation":[]}],"member":"311","published-online":{"date-parts":[[2011,12,4]]},"reference":[{"key":"e_1_2_6_1_2","doi-asserted-by":"publisher","DOI":"10.1016\/0898-1221(90)90271-K"},{"key":"e_1_2_6_2_2","first-page":"375","article-title":"The Laplace transform multiquadrics method: a highly accurate scheme for the numerical solution of linear partial differential equations","volume":"1","author":"Moridis G. 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